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  • Winter Games | Math Fan

    Math Fan Content Lessons Tasks Math Club Projects Math @ Home Math Magic Games & Puzzles Math & Art Winter Games Snowflakes ​ Snowflakes are tiny ice crystals formed within the earth’s atmosphere. The research on snowflakes began thousands of years ago. A snow crystal is a single crystal of ice, where the water molecules are lined up in a hexagon shape. They are not frozen raindrops—the size of snow crystals changes based on the temperature of the air. The smallest crystals are called “Diamond Dust.” There are many different types of snowflake shapes. The two most commonly thought of shapes are plates and stellar crystals. Read more Why do Snowflakes have hexagonal shapes? ​ Snowflakes are symmetrical because they reflect the internal order of the water molecules as they arrange themselves in the solid-state (the process of crystallization). Water molecules in the solid-state, such as in ice and snow, form weak bonds (called hydrogen bonds) to one another. These ordered arrangements result in the basic symmetrical, hexagonal shape of the snowflake. In reality, there are many different types of snowflakes (as in the cliche that 'no two snowflakes are alike); this differentiation occurs because each snowflake is a separate crystal that is subject to specific atmospheric conditions, notably temperature and humidity, under which it is formed. Read more on Scientific American ​ Snow Crystals ​ Twin snowflakes mentioned in the video is created by Prof. Kenneth G. Libbrecht from Caltech. He studies the molecular dynamics of crystal growth, including how ice crystals grow from water vapor, which is essentially the physics of snowflakes. Make sure you visit his page to explore EVERYTHING known about snow crystals. ​ ​ Snowflakes in Math Class - Paper Cutouts STAR WARS SNOWFLAKE SAMPLES TEMPLATES MORE TEMPLATES Snowflake Activities with Polypad(K8) SNOWFLAKE FDPs DESIGNS W/ PATTERN BLOCKS 6-FOLD SYMMETRY Create a tessellating tree with Polypad(5-8) Use the random polygon tool to create a tree figure that can tessellate (tile the plane without gaps and overlaps). ​ You may discuss the slope of the edges along the way. ​ Here is a sample Polypad . New Year Resolution Flyer / Poster Happy Holidays w/ Fractions Koch Snowflake Polypad Activitiy Snowflakes look like they come from another dimension. In fact, they really do! Draw the Koch Snowflake Fractal with Polypad and check out the task page to explore the amazing properties of the Koch Snowflake The Smartest way to Countdown: Math Advent Calendars Mathigon Puzzle Calendar NRICH - Primary Advent Calendar NRICH Secondary Advent Calendar More with Origami Modular Origami Tree Origami Tree Sierpinski Cutout

  • Math Competitions | MATH FAN

    COMPETITIONS One of the best parts of the math-fests is obviously being able to run lots of different competitions for the kids who have different ability levels, skills, and strengths. Our aim to have so many competitions is to reach everyone at the school. You do not need to be among the top kids of the school to participate in one of those competitions. Just join, learn, collaborate, and have fun! For further information on competitions, the KocMathTeam website will be online soon ...

  • Puzzles and Games | Math Fan

    Mathfan Shop Read. Watch. Play. Explore. Create Books Young Readers Mathflix P+ Games Toys and Gadgets 3D Models Puzzles and Games 21st Century Pattern Blocks Explore Eight different shapes and colors for endless possible creations by Math for Love Buy on Amazon ​ Talking Math with Kids Shop Buy tiling turtles, Truchet Blocks, and Christopher’s books Which One Doesn’t Belong? and How Many? Buy on Talking Math with Kids Shop ​ Turing Machine Preorder today! Expected release November 16, 2022! Buy on Labyrinthdc ​ Mondrian Blocks A game where math meets wıth Art Buy on Amazon ​ Mosaic Mysteries Puzzle Arrange mosaic tiles on a 2D plane in a way to make them seen as 3D. Buy on Amazon ​ Q-bitz Practice your symmetry, visual dexterity, quick thinking, spatial reasoning and memory skills. Buy on Amazon ​ The Genius Square STEM puzzle game with the combination of dice, location of the blockers Buy on Amazon ​ Tangram Puzzles Bubble Pop Tangram pieces with the Tangram Puzzles Book Buy on Amazon ​ Star Wars Chess Set A collectible - dark and light sides on the chess table. May the force with you. Buy on Amazon ​ Picasso Tiles Puzzle A 3D Puzzle promotes logic training, critical thinking, problem-solving, and hand-eye coordination skills. Buy on Amazon ​ Mancala Invented thousands of years ago, Mancala is one of the world's favorite games of counting and strategy. Buy on Amazon ​ Amazing Inventions Hands-on building projects that explore Da Vinci's invention ideas Buy on Amazon ​ Go - magnetic set Magnetic 19x19 Go Game Set Board Buy on Amazon ​ Crystallized A challenging board game for 2-4 players Buy on Amazon ​ Brain Games - I What is the most complex super computer;? The answer is really close to you! Buy on Amazon ​ ZomeTool - Kepler Cosmos German mathematician, astronomer Johannes Kepler's universe model made up of 5 platonic solids. Buy on Amazon ​ Snake Cube Fidget Snake puzzles can turn into any shape, you can combine them to create bigger shapes. Buy on Amazon ​ Number Slide The goal is to reposition the squares from a given arbitrary position by sliding them one at a time. Buy on Amazon ​ Hanoi Tower It repetitive sequential that allows moving one piece at a time and are only allowed to place a smaller piece on top of a larger piece. Buy on Amazon ​ ISS LEGO Ideas Series - International Space Station model Buy on Amazon ​ The Genius Square Game of The Year Award Winner! Roll The Dice & Race Your Opponent to Fill The Grid! Buy on Amazon ​ Rock me Archimedes Suspense-filled balancing game that tests players’ strategic thinking. Buy on Amazon ​ Battleship Introduction to Coordinate Plane and ordered pairs concepts Buy on Amazon ​ Color Code Challenge yourself wıth this visual perception game. Buy on Amazon ​ Genius Star Star version is even more challenging than the famous Genius square game Buy on Amazon ​ Tri-facta Multiplication Practice multiplication and division - a 3 people board game Buy on Amazon ​ Pattern Explorer 1 Book - diverse collections of pattern problems for students to explore, investigate, discover, and create. Buy on Amazon ​ String Art Create amazing geometric patterns - Set of 3 frames - 20, 30 and 40 points with frames of 15 cm diameter. Buy on Amazon ​ Quoridor Abstract strategy game for ages 8+ Buy on Amazon ​ Numbers & Letters Tangram Pattern Blocks Magnetic Jigsaw Puzzle with 24 Pcs Design Cards. Buy on Amazon ​ Magnetic Soma Cube A 3D Puzzle - Set of 7 Multi Shapes Magnetic Blocks with 54 Guide Cards. Buy on Amazon ​ Kanoodle - mini A 3D Puzzle Game, Over 200 Challenges Buy on Amazon ​ Geomag Magnetic Toys to build 3D Solids and explore 3D geometry Buy on Amazon ​ Buildables BUILD your own Spin Art Station with step-by-step instructions Buy on Amazon ​ Brain Games - II Book - full of puzzles, optical illusions, cranial challenges, and information on researches in neuroscience Buy on Amazon ​ The Shape-Shifting Box 3D Magnetic Transforming Magnetic Box Magic Cube - You can combine four of them to create other 3d shapes. Buy on Amazon ​ Hexagon n Puzzle Hexagon puzzle has many different solutions, Each card has hints for a different solution. Buy on Amazon ​ Soma Cube Each card has a building shape challenge on one side, and the solution on the other side. Buy on Amazon ​ Marble Run Marble Run for chain reactions by National Geographic Buy on Amazon ​ K'nex Levers & Pulleys Model- to build 3 unique lever or pulley models: a balance, a wheelbarrow and a Sailboat Buy on Amazon ​ Prime Climb Explore mathematical structure in multiplication, division, and prime numbers by Math for Love Buy on Amazon ​ Chain Reaction Sets by Zig Go Build different layouts and tracks, then start the action and watch the reactions. Buy on Amazon ​ Q.bitz Jr Pattern identification game for younger players (1-4 players) Buy on Amazon ​ Harry Potter Trivia Game Only If you are a true HP fan Buy on Amazon ​ Mastermind A Strategy game for kids to explore the concepts of probability, deductive reasoning, and logic Buy on Amazon ​ Da Vinci Clock Model - Reproduction of a clock based on an escapement sketched by Leonardo da Vinci Buy on Amazon ​ Pattern Explorer 2 Book - diverse collections of pattern problems for students to explore, investigate, discover, and create. Buy on Amazon ​ Shot the Box Excellent tool for teaching basic addition Buy on Amazon ​ Sequence A strategy game for ages 7+ Buy on Amazon ​ Pattern Blocks A toy that every kid needs to have -Explore shapes, relations, fractions, symmetry, area measurement, and more Buy on Amazon ​ Logic Puzzles Book - 60 Clever Brain Games and Puzzles Buy on Amazon ​ Lego Chess Set A collectible for lego and chess lovers Buy on Amazon ​ Domino Set - 1000 pc Colorful Dominos Tiles for Building, Stacking, Racing, Tumbling. Buy on Amazon ​ Reversi A classical game also known as Othello - magnetic version Buy on Amazon ​ Connect Four One of the most famous strategy games in the world. Buy on Amazon ​ Rainbow Puzzle Ball A color matching game for kids. You push the colored balls around to match their color with the ring outside. Buy on Amazon ​ 3D Labyrinth Puzzles A toy for hands & eyes coordination and balance, spatial cognition, focus, observes ability and patience training. Buy on Amazon ​ Archemedes Puzzle Incredibly difficult and one of the oldest known puzzles and attributed to the great Archimedes. Buy on Amazon ​ Chinese Checkers Traditional Strategy Board Game with Set of 60 Colorful Marbles Buy on Amazon ​ We are a participant in the Amazon Services LLC Associates Program, an affiliate advertising program designed to provide a means for us to earn fees by linking to Amazon.com and affiliated sites.

  • Math Cabinet | Math Fan

    Displays Math Boards Math Posters Math Class Floor Prints Math Cabinet Math Park MATH CABINET Cabinet of Wonders ​ We all know mathematics is a very colorful subject. It had many wonders so why not share some of the examples in a math cabinet? The main aim here is to give students a fun, interesting, social, and tactile experience of fundamental math concepts. Sometimes students can also design the displays and materials; in this way, they will develop ownership over the subject and the classroom they live in every day. ​ Maths and Art Projects and Activities Click here to go to the MATH & ART page to see a large selection of maths & art activities, ideas, lesson plans, templates.. Math Class Essentials Pattern Blocks Wooden Building Blocks Geometry Sets Prime Climb Game Geometiles 3D Building Set Grid Boards Unit Cubes Nets of 3D Solids Origami Geoboords Fractions For more... Books A list of Math and Science Books for readers of all ages. Ready to be amazed and love math even more and get inspired! Books for Young Readers Math and Science are full of great stories, myths, and legends as well as new adventures. Let young readers learn about the other side of the coin! Toys and Gadgets People are more likely to learn math principles when surrounded by relevant concepts. And the best part is they are GENDER-FREE!​ Puzzles and Games Who would not like playing games? Games are yoga for your mind. Play games to explore more, solve problems, improve systematic and strategic thinking. 3D Print Templates Printing can make the toys cheaper and extremely customizable. Creativity is a major part of growing up, and 3d printed toys can let kids express that.

  • Toys & Gadgets | Math Fan

    Mathfan Shop Read. Watch. Play. Explore. Create Books Young Readers Mathflix P+ Games Toys and Gadgets 3D Models TOYS & GADGETS Create your own Science & Math Museum Lollipopter Interactive kinetic sculpture design by artist John Edmark. A snap of the wrist moves "petals" to form a helix. johnedmark.com/ Buy on Amazon Painting Pendulum "3000 steel balls fall through 12 levels of branching paths and always end up matching a bell curve distribution. Buy on Amazon ​ Mandelmap A detailed map of the Mandelbrot Set, in a beautiful vintage style. mandelmap.com Buy on Amazon Escher Flipbook This flipbook animates the worlds of nature and art from Escher's masterpiece Metamorphosis II. Buy on Amazon ​ The Shape-Shifting Box 3D Magnetic Transforming Magnetic Box Magic Cube - You can combine four of them to create other 3d shapes. Buy on Amazon ​ Rainbow Puzzle Ball A color matching game for kids. You push the colored balls around to match their color with the ring outside. Buy on Amazon ​ Science Tarot This tarot deck features 78 original illustrations inspired by important people, practices, and discoveries in scientific history Buy on Exploratorium ​ Hexagon n Puzzle Hexagon puzzle has many different solutions, Each card has hints for a different solution. Buy on Amazon ​ 3D Labyrinth Puzzles A toy for hands & eyes coordination and balance, spatial cognition, focus, observes ability and patience training. Buy on Amazon ​ Number Slide The goal is to reposition the squares from a given arbitrary position by sliding them one at a time. Buy on Amazon ​ CMY Color Cube Each parallel side has a different color allowing you to see that color when viewing straight on, or a combination when viewed at an angle. Buy on Amazon ​ Soma Cube Each card has a building shape challenge on one side, and the solution on the other side. Buy on Amazon ​ Newton's Cradle It is a device that demonstrates key physics principles: energy conservation, momentum, and friction. Buy on Amazon ​ Element Cube Set 9 PCS Elements Density Cubes Up to 99.99% Pure Daily Metal Cubes Buy on Amazon ​ Archemedes Puzzle Incredibly difficult and one of the oldest known puzzles and attributed to the great Archimedes. Buy on Amazon ​ Leonardo Da Vinci Bridge Self-supporting Bridge. The unique structure holds itself together without any fasteners or connectors. Buy on Amazon ​ Hinged Mirror Hinged mirror with protractor base is great for patterns and symmetry Buy on Amazon ​ Talking Math with Kids Shop Buy tiling turtles, Truchet Blocks, and Christopher’s books Which One Doesn’t Belong? and How Many? ​ Buy on Talking Math with Kids Digit Puzzle Place all the digits on the puzzle board. ​ Buy on Amazon ​ Tessellation: HexaPlex Construct a fractal using physical materials. The puzzle contains 2 70 magnetic shapes in five different sizes. Buy on Amazon ​ Hinged Folding, looping, bending, twisting, turning brainteaser for 8+ Buy on Amazon ​ Mathematical Timeline A printed version of Interactive Timeline of Maths that covers 20 000 years of history. on Mathigon. Buy on Mathigon ​ Math Art Prints Archimedean Spiral, Euler's Formula, Fibonacci Golden Spiral, Pythagoras Theorem-Set of Four Photos (8x10) Unframed. Buy on Amazon ​ Euclidean Cube The ring model is made of tetrahedrons that can rotate repeatedly and transform into different shapes. Buy on Amazon ​ Spirographs A spirograph is a geometric drawing device that produces many different mathematical curves. Buy on Amazon ​ Sky Rockets Rocket flight experiments give insight into the physics of motion and aerodynamics. Buy on Amazon ​ Puzzle Box Puzzle Box provides multiple secret hidden compartments for you to solve and and find them. Buy on Amazon ​ Lego cm/inch ruler Build the full-length 12 inches (30cm) ruler, or build the optional 6 inches (15cm) version. Buy on Amazon ​ Klein Bottle A single-sided surface with no boundary by highlights the shape further with its open-cut lattice design.. Buy on Amazon ​ Da Vinci's Models Learn about Leonardo da Vinci’s designs of different medieval artillery weapons. Buy on Amazon ​ Star Wars Magic Cube 2 3/4 inch Tall Mirror cube with DARTH VADER & YODA heads Buy on Amazon ​ Hanoi Tower It repetitive sequential that allows moving one piece at a time and are only allowed to place a smaller piece on top of a larger piece. Buy on Amazon ​ Caesar Cipher The top ring moves freely and spins. Choose a shift code number and send a secret message. Buy on Amazon ​ Optics Experiment Set Optics Sets with laser and different concave and convex prisms Buy on Amazon ​ Galton Board "3000 steel balls fall through 12 levels of branching paths and always end up matching a bell curve distribution. galtonboard.com Buy on Amazon Spiegel Tangram 2.0 Symmetry game that you cannot stop playing. Cards will challenge you to create the given shapes. Buy on Amazon ​ ZomeTool - Kepler Cosmos German mathematician, astronomer Johannes Kepler's universe model made up of 5 platonic solids. Buy on Amazon ​ Kaleidograph Crystal 570 billion combinations of patterns Buy on Amazon ​ Star Cube Cube Transforms Into a number of shapes including two same size cubes that can turn to a 12-Pointed Stars. Buy on Amazon, ​ Curiosity Box by Vsauce The Curiosity Box is a seasonal subscription box for thinkers. Each box is designed and curated by the award-winning creators of Vsauce . curiositybox.com ​ Snake Cube Fidget Snake puzzles can turn into any shape, you can combine them to create bigger shapes. Buy on Amazon ​ Knots Numberphile Knots on canvas print with Blue or Black Options. Buy on Numberphile ​ Expanding Mini Sphere The inventor calls it a trapezoidal icosatetrahedron. It expands neatly into a lattice-like globe Buy on Amazon ​ Gyrescopes Top spins on the base and stops on the base without tripping and falling. Buy on Amazon ​ Optical Illusion Card Deck The set includes a different optical illusion on every card... that's more than 52 illusions (including jokers). Buy on Amazon ​ Reuleaux Solids Set of three Cones of constant width with one of each Triangle,Hexagon and a sphere. Buy on Amazon ​ Infinity Dodecahedron 12-sided infinite color art lamp. Buy on Amazon ​ Lightning and Tesla Coil Place your fingers on the globe’s surface and watch as the tendrils of light follow your touch! Buy on Amazon ​ Galileo Weather Station Galileo Weather Station with Clock, Barometer, and Thermometer. Buy on Amazon ​ Pythagorean cup it allows the user to fill the cup with drink up to a certain level. Above a level, the cup spills its entire contents out the bottom. Buy on Amazon ​ Tessellation Stencils Animal tessellation stencils including Escher-like reptiles Buy on Amazon ​ We are a participant in the Amazon Services LLC Associates Program, an affiliate advertising program designed to provide a means for us to earn fees by linking to Amazon.com and affiliated sites.

  • String Art | Math Fan

    Math Fan Content Lessons Tasks Math Club Projects Math @ Home Math Magic Games & Puzzles Math & Art < < MATH & ART String Art Make attractive geometric patterns from simple lines. You may create paper pencil patterns first and then, i f you want to create some 3d art, you may use a corkboard, pins, and some string. You may think the idea behind the string art as the motion of a sliding ladder. ​ There are different ways to integrate a string art project to math lessons. You may start from scratch and let students to use ruler and compass to create the equal intervals on the lines. Or you may use the templates below to create some beautiful art pieces. ​ Here is the Polypad lesson plan of a task to investigate the maximum number of points, and regions formed by intersecting lines. Once you create the shapes, you may realize they belong to different functions. Here is the x^2/3 + y ​^2/3 = c^2/3 This particular curve is called astroid. Can you find the length of the curve or the area enclosed by the curve? Do this measure depend on the number of points on the initial lines? ​ If you are interested in the type of shapes formed by each string art template,do not forget to check the hypocycloids page on Wolfram. ​ SAMPLES TEMPLATES LESSON LINK

  • Math Books | Math Fan

    Mathfan Shop Read. Watch. Play. Explore. Create Books Young Readers Mathflix P+ Games Toys and Gadgets 3D Models MATH & SCIENCE BOOKS Inspiration is calling! Math Games with Bad Drawings: 75 1/4 Simple, Challenging, Go-Anywhere Games―And Why They Matter by Ben Orlin This ultimate game chest draws on mathematical curios, childhood classics, and soon-to-be classics, each hand-chosen to be (1) fun, (2) thought-provoking, and (3) easy to play. Buy on Amazon The Complete Guide to Absolutely Everything (Abridged): Adventures in Math and Science by Adam Rutherford, and Hannah Fry Hannah Fry's Numberphile video about the book ​ Buy on Amazon Thinking Better - The Art of the Shortcut by Marcus Du Sautoy His interview about the book ​ Buy on Amazon Chasing Rabbits by Sunil Singh His Blog Post about the book Buy on Amazon Infinite Powers by Steven Strogatz Steven Strogatz’s brilliantly creative, down‑to‑earth history shows that calculus is not about complexity; it’s about simplicity. It harnesses an unreal number—infinity—to tackle real‑world problems, breaking them down into easier ones and then reassembling the answers into solutions that feel miraculous. Buy on Amazon The Great Unknown by Marcus Du Sautoy The Great Unknown challenges us to consider big questions—about the nature of consciousness, what came before the big bang, and what lies beyond our horizons—while taking us on a virtuoso tour of the great breakthroughs of the past and celebrating the men and women who dared to tackle the seemingly impossible and had the imagination to come up with new ways of seeing the world. Buy on Amazon A new kind of Science by Stephen Wolfram Wolfram uses his approach to tackle a remarkable array of fundamental problems in science, from the origins of apparent randomness in physical systems to the development of complexity in biology, the ultimate scope and limitations of mathematics, the possibility of a truly fundamental theory of physics, the interplay between free will and determinism, and the character of intelligence in the universe. Buy on Amazon A Mathematician's Apology by G. H Hardy G. H. Hardy was one of this century's finest mathematical thinkers, renowned among his contemporaries as a 'real mathematician ... the purest of the pure'. This 'Apology', written in 1940, offers a brilliant and engaging account of mathematics as very much more than a science; when it was first published, Graham Greene hailed it alongside Henry James's notebooks as 'the best account of what it was like to be a creative artist'. Buy on Amazon Geometry Snacks by Ed Southell and Vincent Pantaloni The idea behind the book is to show that problems can be solved in several ways, which means that, say the authors: “once a puzzle is solved, there are further surprises, insights and challenges to be had.. Buy on Amazon Cut the Knot by Alexander Bogomolny Cut the Knot is a book of probability riddles curated to challenge the mind and expand mathematical and logical thinking skills. First housed on cut-the-knot.org, these puzzles and their solutions represent the efforts of great minds around the world. Buy on Amazon Alan Turing: The Enigma by Andrew Hodges The Enigma, the story of the British computer pioneer and codebreaker Alan Turing. Critically acclaimed at the time — Donald Michie in New Scientist called it ""marvellous and faithful"" — the book was chosen by Michael Holroyd as part of a list of 50 'essential' books Buy on Amazon Thinking Classroom by Peter Liljedahl Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Buy on Amazon Math Recess by Sunil Singh and Dr Christ Brownell In the theme of recess, where a treasure chest of balls, ropes, and toys would be kept for children to play with, this book holds a deep and imaginative collection of fun mathematical ideas, puzzles, and problems. Buy on Amazon God created the integers by Stephen Hawking This extensive anthology allows readers to peer into the mind of genius by providing them with excerpts from the original mathematical proofs and results. It also helps them understand the progression of mathematical thought and the very foundations of our present-day technologies. Buy on Amazon The Princeton Companion to Maths by Timothy Gowers This is a one-of-a-kind reference for anyone with a serious interest in mathematics. Edited by Timothy Gowers, a recipient of the Fields Medal, it presents nearly two hundred entries, written especially for this book by some of the world's leading mathematicians. Buy on Amazon Pi of Life by Sunil Singh Blending classic wisdom with over 100 pop culture references, Singh whimsically switches the lens in this book from the traditional society teaching math to a new and bold math teaching society. With charming buoyancy and intimacy, he takes us on an emotional and surprising journey through the deepest goldmine of mathematics-our personal happiness. Buy on Amazon Math with Bad Drawings by Ben Orlin Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Buy on Amazon The Mathematics of Love by Hannah Fry Her TED talk on mathematics of love Buy on Amazon The Joy of x by Steven Strogatz The Joy of x, Steven Strogatz expands on his hit New York Times series to explain the big ideas of math gently and clearly, with wit, insight, and brilliant illustrations. Buy on Amazon Finding Moonshine by Marcus Du Sautoy This is the story of how humankind has come to its understanding of the bizarre world of symmetry – a subject of fundamental significance to the way we interpret the world around us. Buy on Amazon Uncle Petros and Goldbach Conjecture by Your Text Here​​ Uncle Petros is a family joke - an aging recluse in a suburb of Athens, playing chess and gardening. His young nephew soon discovers his uncle was once a celebrated mathematician who staked all on solving the problem of Goldbach's Conjecture. Buy on Amazon Things to make and do in the 4D by Matt Parker Things to Make and Do in the Fourth Dimension: A Mathematician's Journey Through Narcissistic Numbers, Optimal Dating Algorithms, at Least Two Kinds of Infinity, and More Buy on Amazon The Elements of Euclid by Oliver Byrne Nearly a century before Mondrian made geometrical red, yellow, and blue lines famous, 19th century mathematician Oliver Byrne employed the color scheme for the figures and diagrams in his most unusual 1847 edition of Euclid's Elements. Buy on Amazon Math Art by Stephen Ornes The worlds of visual art and mathematics come together in this spectacular volume by award-winning writer Stephen Ornes. He explores the growing sensation of math art, presenting more than 80 pieces, including a crocheted, colorful representation of non-Euclidian geometry that looks like sea coral and a 65-ton, 28-foot-tall bronze sculpture covered in a space-filling curve. Buy on Amazon Why study Mathemativs by Vicky Neale .. Buy on Amazon Women in Science by Rachel Ignotofsky A charmingly illustrated and educational book, New York Times best seller Women in Science highlights the contributions of fifty notable women to the fields of science, technology, engineering, and mathematics (STEM) from the ancient to the modern world Buy on Amazon The Math Book by Clifford A. Pickover Math's infinite mysteries unfold in this paperback edition of the bestselling TheMath Book. Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, prolific polymath Clifford Pickover covers 250 milestones in mathematical history. Buy on Amazon The Colossal Book of Short Puzzles by Martin Gardner The Colossal Book of Mathematics, have been selected by Gardner for their illuminating; and often bewildering; solutions. Filled with over 300 illustrations, this new volume even contains nine new mathematical gems that Gardner, now ninety, has been gathering for the last decade. Buy on Amazon Mathematics Magic and Mystery by Martin Gardner Why do card tricks work? How can magicians do astonishing feats of mathematics mentally? Why do stage "mind-reading" tricks work? As a rule, we simply accept these tricks and "magic" without recognizing that they are really demonstrations of strict laws based on probability, sets, number theory, topology, and other branches of mathematics. This is the first book-length study of this fascinating branch of recreational mathematics. Buy on Amazon Humble Pi by Matt Parker Matt Parker shows us the bizarre ways maths trip us up, and what this reveals about its essential place in our world. Mathematics doesn't have good 'people skills', but we would all be better off, he argues, if we saw it as a practical ally. This book shows how, by making maths our friend, we can learn from its pitfalls. Buy on Amazon Hello World by Hannah Fry Hannah Fry takes us on a tour of the good, the bad and the downright ugly of the algorithms that surround us. In Hello World she lifts the lid on their inner workings, demonstrates their power, exposes their limitations, and examines whether they really are an improvement on the humans they are replacing Buy on Amazon Is God a Mathematician? by Mario Livio Explores the plausibility of mathematical answers to puzzles in the physical world, in an accessible exploration of the lives and thoughts of such figures as Archimedes, Galileo, and Newton. Buy on Amazon Logicomix by Your Text Here​​ This exceptional graphic novel recounts the spiritual odyssey of philosopher Bertrand Russell. In his agonized search for absolute truth, Russell crosses paths with legendary thinkers like Gottlob Frege, David Hilbert, and Kurt Gödel, and finds a passionate student in the great Ludwig Wittgenstein. Buy on Amazon Limitless Mind by Jo Boaler In Limitless Mind, she explodes these myths and reveals the six keys to unlocking our boundless learning potential. Her research proves that those who achieve at the highest levels do not do so because of a genetic inclination toward any one skill but because of the keys that she reveals in the book. Buy on Amazon Fermat's Last Theorem by Simon Singh In 'Fermat's Last Theorem' Simon Singh has crafted a remarkable tale of intellectual endeavour spanning three centuries, and a moving testament to the obsession, sacrifice and extraordinary determination of Andrew Wiles: one man against all the odds. Buy on Amazon How to bake Pi by Eugenia Cheng In How to Bake Pi, math professor Eugenia Cheng provides an accessible introduction to the logic and beauty of mathematics, powered, unexpectedly, by insights from the kitchen: we learn, for example, how the béchamel in a lasagna can be a lot like the number 5, and why making a good custard proves that math is easy but life is hard. Buy on Amazon The Wonder Book of Geometry by David Acheson David Acheson takes the reader on a highly illustrated tour through the history of geometry, from ancient Greece to the present day. He emphasizes throughout elegant deduction and practical applications, and argues that geometry can offer the quickest route to the whole spirit of mathematics at its best. Buy on Amazon The Nature of Mathematics by Karl J. Smith Karl Smith introduces you to proven problem-solving techniques and shows you how to use these techniques to solve unfamiliar problems. best. Buy on Amazon A History of Mathematics by Victor J. Katz A History of Mathematics, 3rd Edition, provides students with a solid background in the history of mathematics and focuses on the most important topics for today’s elementary, high school, and college curricula. Buy on Amazon The Simpsons and their Mathematical Secrets by Simon Singh Simon Singh reveals, underscores the brilliance of the shows' writers, many of whom have advanced degrees in mathematics in addition to their unparalleled sense of humor. Buy on Amazon Beyond Infinity by Eugenia Cheng Beyond Infinity: An expedition to the outer limits of the mathematical universe Buy on Amazon Tales of Impossibility by David Richeson Tales of Impossibility recounts the intriguing story of the so-called problems of antiquity, four of the most famous and studied questions in the history of mathematics. Buy on Amazon Math without Numbers by Milo Beckman Math Without Numbers is a vivid, conversational, and wholly original guide to the three main branches of abstract math—topology, analysis, and algebra—which turn out to be surprisingly easy to grasp. Buy on Amazon Change is the only Constant by Ben Orlin Change is the Only Constant is an engaging and eloquent exploration of the intersection between calculus and daily life, complete with Orlin's sly humor and memorably bad drawings. Buy on Amazon 1089 + all that by David Acheson David Acheson's extraordinary little book makes mathematics accessible to everyone. From very simple beginnings he takes us on a thrilling journey to some deep mathematical ideas. On the way, via Kepler and Newton, he explains what calculus really means, gives a brief history of pi, and even takes us to chaos theory and imaginary numbers. Buy on Amazon Do Dice Play God? by Ian Stewart From forecasting, to medical research, to figuring out how to win Let's Make a Deal, Do Dice Play God? is a surprising and satisfying tour of what we can know, and what we never will. Buy on Amazon Mathematics for Human Flourishing by Francis Su or mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity’s most beautiful ideas. Buy on Amazon We are a participant in the Amazon Services LLC Associates Program, an affiliate advertising program designed to provide a means for us to earn fees by linking to Amazon.com and affiliated sites.

  • Paper Puzzles | Math Fan

    Math Fan Content Lessons Tasks Math Club Projects Math @ Home Math Magic Games & Puzzles Math & Art Paper Puzzles << Games & Puzzles I first saw about these puzzles on the Twitter page of one of my favorite authors: Dave Richeson , the writer of the "Tales of Impossibility ". Then, I searched more and actually found the puzzle on M+A+T+H=Love 's blog (One of the best resources on the web about teaching math). They are called "crazy eights ". All you need to do is print the pages back to back and cut from the indicated lines. You may even get a blank paper and write the numbers on both sides. Then the goal is to collect all the same kinds of numbers together. I liked the idea so I searched more for similar puzzles. Here is Wolfram's page about Tetraflexagons that can be turned into paper puzzles. The green one, which includes only 1,2, and 3 is pretty easy. Then the rest has different challenge levels for different numbers. ​ Here are the templates I have used 3s 4s 8s

  • Math Shop | Math Fan

    Mathfan Shop Read. Watch. Play. Explore. Create Create your own Math & Science Museum and Library The Collection of Best math & Science Gifts and Collectibles Books A list of Math and Science Books for readers of all ages. Ready to be amazed and love math even more and get inspired! Puzzles and Games Who would not like playing games? Games are yoga for your mind. Play games to explore more, solve problems, improve systematic and strategic thinking. Books for Young Readers Math and Science are full of great stories, myths, and legends as well as new adventures. Let young readers learn about the other side of the coin! 3D Print Templates Printing can make the toys cheaper and extremely customizable. Creativity is a major part of growing up, and 3d printed toys can let kids express that. Toys and Gadgets People are more likely to learn math principles when surrounded by relevant concepts. And the best part is they are GENDER-FREE!​ Movies "Mathflix P+" An Updated List of Math and Science Movies, Documentaries, Docuseries and Animations from Horror to Kids Movies on different platforms

  • Halloween Math | Math Fan

    Math Fan Content Lessons Tasks Math Club Projects Math @ Home Math Magic Games & Puzzles Math & Art Halloween Math Spider Webs ​ For some of us, spiders are highly frightening, which is why they are an essential component of the Halloween notion. ​ Do you wonder what are good mathematical models for spider webs? ​ We may start by thinking about why spiders weave their webs in similar forms. It appears that there could be extremely practical reasons for it, such as the size and strength of the web or the amount of energy required to construct one. ​ Let's assume the ideal model of spider webs is to catch prey by - maximizing the area covered and - minimizing the web spent. ​ Ask students to construct different webs to calculate their area and perimeter using the octagonal templates. Here is a sample Polypad file. ​ Creating Spider Webs using String Art ​ There are different ways to integrate a string art project into math lessons. You may start from scratch and let students use a ruler and compass to create equal intervals on the lines. Or you may use the templates below to create some beautiful art pieces. ​ Here is the Polypad lesson plan of a task to investigate the maximum number of points, and regions formed by intersecting lines. Use the dark mode to create your spider web designs. Once you create the shapes, you may realize they belong to different functions. Here is the x^2/3 + y ​^2/3 = c^2/3 This particular curve is called an astroid. Can you find the length of the curve or the area enclosed by the curve? Do this measure depend on the number of points on the initial lines? SAMPLES TEMPLATES LESSON LINK You may also use Archimedean solids Activity. Explore the properties of Archimedean solids with students while turning them into pumpkins. ​ Archimedean solids are a special group of 13 semi-regular polyhedrons. An Archimedean solid has faces of two or more different types of regular polygons (their sides are all of equal lengths), such as squares, pentagons, hexagons, octagons, decagons, and triangles. ​ Witch Percent? You may use this Polypad to find out the percents of the colored areas of the witch hat and the spooky pumpkin. ​ Witch Hat Drawing Contest with Desmos One of the best activities of all time is trying to re-create a shape & picture using graphs. Students explore many different properties of graphs while working on their projects. Here is an example; ​ For more Halloween activities, please check the Star Wars Math Fractals: The inter-dimensional journey and here are more Halloween surprises .. Halloween Math Numbers and Letters

  • Fractals | Math Fan

    Math fan Content Lessons Tasks Math Club Projects Math @ Home Math Magic Games & Puzzles Math & Art Fractals: The Inter-dimensional Journey What if I tell you the Romanesco Broccoli is coming from another dimension? If you tried to eat it before, you would probably believe me right away. But we are here to explore some other properties rather than their exceptional taste!. It has a form of natural approximation of a 'fractal'. Each conic section is composed of a series of smaller cones, all arranged in a spiral. Although its self-similar pattern continues at smaller levels, the Romanesco Broccoli is only an approximate fractal since the pattern eventually ends when the size becomes very very small. But in fractal geometry, we can repeat a particular pattern or a rule infinitely many times to create smaller and smaller copies of themselves. And apparently, natural selection prefers fractal-form structures so that we can see them everywhere in nature. ​ But why are fractals spooky? In geometry, we know that a line segment has "1" dimension. When we double its scale, its length doubles itself. ​ A square has "2" dimensions. It has a length and a width, so it covers a surface, and when we double its scale, we see four of the initial square. ​ ​ A cube has "3" dimensions. It has a length, width, and height, so it has a volume, and when we double its scale, we see eight of the initial cube. ​ So all the dimensions we know (or are aware of) are integers. Can something have a dimension somewhere in 1and 2, or between 2 and 3? Can a shape have a 1.5 dimension? ​ Spooky fractals are here to answer these questions. Let's see what happens if we use the same logic to find their dimensions. Sierpinski Triangle Sierpinski Carpet Menger Sponge So fractals do have non-integer dimensions. That is really scary for the Flatland community. There are more surprising facts about their inter-dimensional journey. Let's start with a line to create the Peano Curve or the Hilbert Curve. Since they cover an entire plane, they are 2 dimensional. Amazing right? Peano Curve Hilbert C urve ​ Check out the Wikipedia page about the Hausdorff dimensions of fractals. ​ Fractal Geometry is a great place where you can find many things to surprise you. You may want to check out a whole unit of tasks, activities and lesson plans to explore more about fractals at the Tasks page of Polypad. TURKCE GOOGLE SLIDES POLYPAD LESSON LIBRARY LESSON LINK There are amazing videos about fractals. Here is a playlist to have a general ideas as well as the specifics of the Fractal Geometry. All Videos Play Video Play Video 06:28 Pi me a River - Numberphile How the length (and sinuosity) of rivers relates to Pi - featuring Dr James Grime. More links & stuff in full description below ↓↓↓ More on Pi from Numberphile: http://bit.ly/PiNumberphile The paper in Science (abstract): http://bit.ly/1m1j79B James Grime: http://singingbanana.com Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Videos by Brady Haran Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 Numberphile T-Shirts: https://teespring.com/stores/numberphile Other merchandise: https://store.dftba.com/collections/numberphile Play Video Play Video 05:48 Calculating Pi with Darts Subscribe to Veritasium http://youtube.com/veritasium Instagram: http://instagram.com/thephysicsgirl Physics Girl: http://physicsgirl.org/ Facebook: http://facebook.com/thephysicsgirl Twitter: http://twitter.com/thephysicsgirl Help us translate our videos! http://www.youtube.com/timedtext_cs_panel?c=UC7DdEm33SyaTDtWYGO2CwdA&tab=2 Pi can be calculated using a random sample of darts thrown at a square and circle target. The problem with this method lies in attempting to throw "randomly." We explored different ways to overcome our errors. A million thanks to Derek Muller of Veritasium for his help with this video. http://youtube.com/veritasium. Also a huge thank you to Dan, Virginia, Lara and Cyrus for providing a yard. Play Video Play Video 07:56 Pi and the Mandelbrot Set - Numberphile This video features Dr Holly Krieger. More videos with Holly Krieger: http://bit.ly/HollyKrieger More links & stuff in full description below ↓↓↓ Extra footage from this interview: https://youtu.be/r8Ksuc7T-VQ Thanks to Audible --- http://www.audible.com/numberphile Since this was filmed, Holly has become a mathematics Lecturer at the University of Cambridge and the Corfield Fellow at Murray Edwards College. Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Videos by Brady Haran Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 Numberphile T-Shirts: https://teespring.com/stores/numberphile Other merchandise: https://store.dftba.com/collections/numberphile Play Video Play Video 15:51 But why is a sphere's surface area four times its shadow? The formula is no mere coincidence. Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Special thanks to these supporters: http://3b1b.co/sphere-thanks Discussion on Reddit: https://www.reddit.com/r/3Blue1Brown/comments/a2gqo0/but_why_is_a_spheres_surface_area_four_times_its/ The first proof goes back to Greek times, due to Archimedes, who was charmed by the fact that a sphere has 2/3 the volume of a cylinder encompassing it, and 2/3 the surface area as well (if you consider the caps). Check out this video for another beautiful animation of that first proof: https://youtu.be/KZJw0AYn6_k Calculus series: http://3b1b.co/calculus ------------------ These animations are largely made using manim, a scrappy open-source python library: https://github.com/3b1b/manim If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and it has many other quirks you might expect in a library someone wrote with only their own use in mind. Music by Vincent Rubinetti. Download the music on Bandcamp: https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown Stream the music on Spotify: https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people. ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe Various social media stuffs: Website: https://www.3blue1brown.com Twitter: https://twitter.com/3blue1brown Reddit: https://www.reddit.com/r/3blue1brown Instagram: https://www.instagram.com/3blue1brown_animations/ Patreon: https://patreon.com/3blue1brown Facebook: https://www.facebook.com/3blue1brown 0:00 - High-level idea 2:23 - The details 9:12 - Limit to a smooth surface 11:20 - The second proof 15:15 - A more general shadow fact. Play Video Play Video 23:20 Pi is IRRATIONAL: animation of a gorgeous proof NEW (Christmas 2019). Two ways to support Mathologer Mathologer Patreon: https://www.patreon.com/mathologer Mathologer PayPal: paypal.me/mathologer (see the Patreon page for details) This video is my best shot at animating and explaining my favourite proof that pi is irrational. It is due to the Swiss mathematician Johann Lambert who published it over 250 years ago. The original write-up by Lambert is 58 pages long and definitely not for the faint of heart (http://www.kuttaka.org/~JHL/L1768b.pdf). On the other hand, among all the proofs of the irrationality of pi, Lambert's proof is probably the most "natural" one, the one that's easiest to motivate and explain, and one that's ideally suited for the sort of animations that I do. Anyway it's been an absolute killer to put this video together and overall this is probably the most ambitious topic I've tackled so far. I really hope that a lot of you will get something out of it. If you do please let me know :) Also, as usual, please consider contributing subtitles in your native language (English and Russian are under control, but everything else goes). One of the best short versions of Lambert's proof is contained in the book Autour du nombre pi by Jean-Pierre Lafon and Pierre Eymard. In particular, in it the authors calculate an explicit formula for the n-th partial fraction of Lambert's tan x formula; here is a scan with some highlighting by me: http://www.qedcat.com/misc/chopped.png Have a close look and you'll see that as n goes to infinity all the highlighted terms approach 1. What's left are the Maclaurin series for sin x on top and that for cos x at the bottom and this then goes a long way towards showing that those partial fractions really tend to tan x. There is a good summary of other proofs for the irrationality of pi on this wiki page: https://en.wikipedia.org/wiki/Proof_that_π_is_irrational Today's main t-shirt I got from from Zazzle: https://www.zazzle.com.au/25_dec_31_oct_t_shirt-235809979886007646 (there are lots of places that sell "HO cubed" t-shirts) lf you liked this video maybe also consider checking out some of my other videos on irrational and transcendental numbers and on continued fractions and other infinite expressions. The video on continued fractions that I refer to in this video is my video on the most irrational number: https://youtu.be/CaasbfdJdJg Special thanks to my friend Marty Ross for lots of feedback on the slideshow and some good-humoured heckling while we were recording the video. Thank you also to Danil Dimitriev for his ongoing Russian support of this channel. Merry Christmas! Play Video Play Video 17:17 Ramanujan's infinite root and its crazy cousins In this video I'll talk about Ramanujan's infinite roots problem, give the solution to my infinite continued fraction puzzle from a couple of week's ago, and let you in on the tricks of the trade when it comes to making sense of all those crazy infinite expressions. Featuring guest appearances by Vihart's infinite Wau fraction, the golden ratio and the Mandelbrot set. Here is a link to a screenshot of Ramanujan’s original note about his infinite nested radical puzzle: http://www.qedcat.com/misc/ram_incomplete.jpg Check out the following videos referred to in this video: https://youtu.be/jcKRGpMiVTw Mathologer video on Ramanujan and 1+2+3+...=-1/12. This one also features an extended discussion of assigning values to infinite series in the standard and a couple of non-standard ways https://youtu.be/CaasbfdJdJg Mathologer video on infinite fractions and the most irrational of all irrational numbers. https://youtu.be/9gk_8mQuerg Mathologer video on the Mandelbrot set. The second part of this one is all about a supernice way of visualising the infinite expression at the heart of this superstar. https://youtu.be/GFLkou8NvJo Vi Hart's video on the mysterious number Wau, a must-see :) Enjoy :) Play Video Play Video 19:04 Why is pi here? And why is it squared? A geometric answer to the Basel problem A most beautiful proof of the Basel problem, using light. Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Special thanks to these supporters: http://3b1b.co/basel-thanks This video was sponsored by Brilliant: https://brilliant.org/3b1b Brilliant's principles list that I referenced: https://brilliant.org/principles/ Get early access and more through Patreon: https://www.patreon.com/3blue1brown The content here was based on a paper by Johan Wästlund http://www.math.chalmers.se/~wastlund/Cosmic.pdf Check out Mathologer's video on the many cousins of the Pythagorean theorem: https://youtu.be/p-0SOWbzUYI On the topic of Mathologer, he also has a nice video about the Basel problem: https://youtu.be/yPl64xi_ZZA A simple Geogebra to play around with the Inverse Pythagorean Theorem argument shown here. https://ggbm.at/yPExUf7b Some of you may be concerned about the final step here where we said the circle approaches a line. What about all the lighthouses on the far end? Well, a more careful calculation will show that the contributions from those lights become more negligible. In fact, the contributions from almost all lights become negligible. For the ambitious among you, see this paper for full details. If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people. Music by Vincent Rubinetti: https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe, and click the bell to receive notifications (if you're into that). If you are new to this channel and want to see more, a good place to start is this playlist: http://3b1b.co/recommended Various social media stuffs: Website: https://www.3blue1brown.com Twitter: https://twitter.com/3Blue1Brown Patreon: https://patreon.com/3blue1brown Facebook: https://www.facebook.com/3blue1brown Reddit: https://www.reddit.com/r/3Blue1Brown Play Video Play Video 15:16 Why do colliding blocks compute pi? Even prettier solution: https://youtu.be/brU5yLm9DZM Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Special thanks to these supporters: http://3b1b.co/clacks-thanks Home page: https://www.3blue1brown.com Many of you shared solutions, attempts, and simulations with me this last week. I loved it! You all are the best. Here are just two of my favorites. By a channel STEM cell: https://youtu.be/ils7GZqp_iE By Doga Kurkcuoglu: http://bilimneguzellan.net/bouncing-cubes-and-%CF%80-3blue1brown/ And here's a lovely interactive built by GitHub user prajwalsouza after watching this video: https://prajwalsouza.github.io/Experiments/Colliding-Blocks.html NY Times blog post about this problem: https://wordplay.blogs.nytimes.com/2014/03/10/pi/ The original paper by Gregory Galperin: https://www.maths.tcd.ie/~lebed/Galperin.%20Playing%20pool%20with%20pi.pdf For anyone curious about if the tan(x) ≈ x approximation, being off by only a cubic error term, is actually close enough not to affect the final count, take a look at sections 9 and 10 of Galperin's paper. In short, it could break if there were some point where among the first 2N digits of pi, the last N of them were all 9's. This seems exceedingly unlikely, but it quite hard to disprove. Although I found the approach shown in this video independently, after the fact I found that Gary Antonick, who wrote the Numberplay blog referenced above, was the first to solve it this way. In some ways, I think this is the most natural approach one might take given the problem statement, as corroborated by the fact that many solutions people sent my way in this last week had this flavor. The Galperin solution you will see in the next video, though, involves a wonderfully creative perspective. If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people. Music by Vincent Rubinetti. Download the music on Bandcamp: https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown Stream the music on Spotify: https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe Various social media stuffs: Website: https://www.3blue1brown.com Twitter: https://twitter.com/3blue1brown Reddit: https://www.reddit.com/r/3blue1brown Instagram: https://www.instagram.com/3blue1brown_animations/ Patreon: https://patreon.com/3blue1brown Facebook: https://www.facebook.com/3blue1brown

  • Math Displays at School | Math Fan

    Displays Math Boards Math Posters Math Class Floor Prints Math Cabinet Math Park MATH DISPLAYS AT SCHOOL Remove class walls from mathematics. Some of the interactive elements from the math museums can be used as the math exhibits at the schools. Since they are more attractive and interactive than ordinary math posters, they trigger the curiosity of students. Net of a 4D Cube Tesserract net: What do Dali and Loki have in common? Leonarda Da Vinci : A True STEAM Genius Da Vinci Wall and a table full of models of his inventions and tools that students can use to build the Self-Supporting Bridge Fractional Hopscotch Popular Playground Game teaches equivalent fractions Cylindirical Mirror and Anamorphic Art Students draw distorted images on the giant polar coordinate in front of the mirror so that they can see the true reflection on the mirror. Caesar cipher Students use the cipher to send messages to each other and decrypt the one on the wall. Cafe Wall Illusion Are the lines horizontal or sloped? School of Athens Students learn about great mathematicians and philosophers and the connection between these two branches. Mathematical Prizes There is no Nobel for Maths but Abel Prize and Fields Medals. Students learn about them as well as the Millenium Problems. Women in Science Exhibition Portraits of women who work in STEM fields. Interactive Pascal Triangle Wall Two colored numbers allow students to create many different patterns on Pascal Triangle Floor Puzzles and Problems the huge floor prints allow students to walk or jump to solve the mazes and puzzles.

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