Math Fan Content Lessons Tasks Math Club Projects Math @ Home Math Magic Games & Puzzles Math & Art < < MATH & ART Tessellation Tessellation is the science and art of covering an infinite plane with shapes without any gaps or overlaps. ​ ​ The origin of tessellation is dated back to 4,000 years BCE, when Sumerians used clay tiles for the walls of their homes and temples. From there, tessellation became a part of the culture of many civilizations, from Egyptians to Greeks, from Byzantines to Chinese. Since there are endless possibilities every culture came up with its own tiling style. At this point, the classification of tesselations became needed for mathematicians and artists to explore more. Types of Tessellations There are several types of tessellations. the most well-known ones are regular tessellations which made up of only one regular polygon. If you try regular polygons, you ll see that only equilateral triangles, squares, and regular hexagons can create regular tessellations. ​ Click here for the lesson plan of Regular Tessellations. ​ If one is allowed to use more than one type of regular polygons to create a tiling, then it is called semi-regular tessellation. ​ Click here for the lesson plan of Semi - Regular Tessellation s. ​ The good news is, we do not need to use regular polygons all the time. We can use any polygon, any shape, or any figure like the famous artist and mathematician Escher to create Irregular tessellations ​ Among the irregular polygons, we know that all triangle and quadrilateral types can tessellate. Among the irregular pentagons, it is proven that only 15 of them can tesselate. You can use Polypad to have a closer look to these 15 irregular pentagons and create tessellations with them. ​ If you use only congruent shapes to make a tessellation, then it is called Monohedral Tessellation no matter the shape is. All regular tessellations are also monohedral. It may be better to show a counter-example here to explain the monohedral tessellations. ​ All the tessellations mentioned up to this point are Periodic tessellations . They consist of one pattern that is repeated again and again. Whatever direction you go, they will look the same everywhere. ​ In the 1970s, the British mathematician and physicist Roger Penrose discovered non-periodic tessellations. The pattern of sh apes still goes infinitely in all directions, but the design never looks exactly the same. The most famous pair of such tiles are the dart and the kite. ​ Click here for the lesson plan of non-periodic Tessellations. ​ World Tessellation Day Except where otherwise noted, graphics and photos copyright ©2016 Emily Grosvenor . All rights reserved. Tessellation Activities & Puzzles The concept of tessellation created many tiling puzzles and tangram activities. Since all polyominoes up to 7 can tesselate, Tetris became one of the most popular virtual games. ​ Spidron kite squares Sphinx Hexadecagons dodecan dissection Golden rectangle tessellation spidron tilings FRACTALS KOLAM PENROSE Reptiles tessellation Single Cuts Square Puzzle Isometric Puzzle Hexagon Puzzle Geomagic Rhombuses Pentomino Pairs Maurits C. Escher (1898-1972) WEBSITE mcescher.com , is the official website published by the M.C. Escher Foundation and The M.C. Escher Company. M.C. Escher: Journey to Infinity M.C. Escher: Journey to infinity is a 2019 movie that looks at Escher’s legacy written and directed by Robin Lutz. ESCHER MUSEUM Escher Museum is at The Hague, Netherlands. Nearly all his prints are exhibited. Drawing Hands, Waterfall, Ascending and Descending are just a few examples you can see there. The Magic Mirror of M.C. Escher This updated and redesigned edition of this book is a complete with biographical data, 250 illustrations, and a thorough breaking-down of each mathematical problem―offers answers to these and many other lingering mysteries, and is an authentic source text of the first order. Listen Escher from R. Penrose This video is a part of Art Documentaries, episode 18/18 . Penrose travels through Escher's greatest masterpieces - marvelling at his intuitive brilliance and the penetrating light it still sheds on complex mathematical concepts. CREATE YOUR OWN ESCHER ART There are several ways of creating Escher-like tessellations. One way sure is to use grid papers and applying transformations on already tessellating shapes. An Easier way is creating templates out of paper, wood, buy or 3D print them. Tessellation Flextangles - Kaliedocycle A Kaliedocycle is a three-dimensional ring made from a chain of solid figures enclosed or bonded by four triangles. Here, you can find a template of Mobius Kaleidocycle for free by UFMB In this book, you can find several Escher kaleidocycles which are adaptations of Escher's 2D images of fish, angels, flowers, people, etc., transformed into uniform, interlocking, three-dimensional objects whose patterns wrap endlessly. Here are some templates created by iOrnament apps ​ Fish Tessellation Cube Fish Tessellation Tetrahedron Fish Tessellation Octahedron Fish Tessellation Dodecahedron Fish Tessellation Icosahedron Fish Tessellation Cube Kaliedocycle 17 Symmetry Groups Tessellations can be made with different combinations of transformations. There are17 distinct ways that a pattern can be used to tile surface. ​ These are also called wallpaper groups. If you want to try, use the interactive at Mathigon's Transformations and Symmetry applet or the iornament app . ​ Tessellations In Non-Euclidean Geometries Coming Soon It is possible to tessellate in the hyperbolic geometry. While in a Euclidean plane there are only three regular tessellations, in a hyperbolical plane there are endless regular tessellations. Best Buys for Tessellation Tessellation Flipbook The Magic of M.C. Escher Tessellating Animal Templates M. C. Escher Kaleidocycles

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.

STREET MATH ACTIVITIES The Math Festival brings together all our community to inspire each other and challenge participants of all ages to see math in new and exciting ways. ​ The MATH Festival is organized around a theme each year featuring Street Math Activities, opening ceremony with the music and dance shows, math talks, interdisciplinary activities, performances, puzzles, mind games, peer activities, book fair, pi day meal and activities and a variety of competitions.

Math Fan Content Lessons Tasks Math Club Projects Math @ Home Math Magic Games & Puzzles Math & Art Playground Math & Physics << Math Park << Lessons TASK #1 Slides with Desmos When Sonic the Hedgehog (35 kg (77 lb.) came to Earth, he slide down a slide of the length of 12.8 meters and the height of 8 meters without using his enormous speed and comes to a gradual stop at the bottom. Calculate the energy transferred and average frictional force on Sonic. Just before Sonic starts sliding, he has a gravitational potential energy which first turns to kinetic energy since he slides. We also know that he gradually stops and that's because of the friction ( slide's surface and air resistance). When he stopped, we can roughly say that his kinetic energy transformed the thermal energy. What is the steepness of the slide? What happens if we increase the length of the slide without changing its height? ​ If we increase the height of the slide to 10 meters, how long a slide we need to make him gradually stop without falling off the slide. ​ Calculations behind the Slope slides can be more complex. Here is a manufacturer's website about the measurements. TASK #2 Swing - outdoor Note the mass of the person who will be on the swing in kilograms. Measure the length (the length of the ropes or chains) of the swing. Estimate how high the person can swing using a meter stick. Calculate the potential energy of the person at this height. (g =10 N/kg) EP = mgh Estimate the angle of a complete back and forth swing. Find the distance of the kid travel using the angle and the length of the swing. Record the time it takes for the swing to go from one side to the other side. Calculate the angular velocity of the swinger. Now Calculate the kinetic energy of the swinger EK = ½ mv2 Here is a Desmos lesson about Modelling the Motion of a Swing. Geogebra TASK #3a Seesaw with an adjustible pivot Yoda (40kg) and Anakin (90 kg) want to bring balance to the force. They are on a 2 meters long seesaw. Where should they place the pivot point to create the balance? TASK #3b Seesaw with a fixed pivot Yoda (40kg) and Anakin (90 kg) want to bring balance to the force. They are on a seesaw with a fixed pivot. Force (and the Polypad) gives them the power to clone themselves as many as they wish. Create the balance on the Polypad by cloning them. TASK #4 Measuring the height of trees - Clinometer Activity Find a place to stand where you can see the top of the tree. Keep your distance from the tree measurable and as big as possible. ​ You can easily make a clinometer using a large protractor, a straw. Check the instructables page for detailed instructions. ​ Look through the clinometer to see the top of the tree. Read the angle on the clinometer. Here you created a right triangle where you know an angle and a side (distance from the tree). With the help of trigonometry, you can calculate the height of the tree. Instructables Using a Clinometer to Measure Height Exploratorium Height Sight Find the height of a tree, a flying paper rocket, or even the North Star! NRICH Making Maths: Clinometer

Displays Math Boards Math Posters Math Class Floor Prints Math Cabinet Math Park FLOOR PRINTS More details and designs are coming soon... 7 BRIDGES OF KONIGSBERG Can you find a route in the city of Königsberg that would cross each of these bridges only once? ​ Image is taken from Encyclopædia Britannica, Inc. and used for educational purposes only. ​ ​ ARCHIMEDES METHOD OF PI-CALCULATION ​ How did Archimedes calculate pi years and years ago? Click here for the floor design CYLINDIRICAL MIRROR If you have a cylindrical column at your school, cover it with mirror-like paper, then start to work on your anamorphic designs. Click here for the floor size circular grid SORTING NETWORK ALGORITM CHART A Computer Science Unplugged Activity Click here for the print NO LEFT TURN MAZE Visit Math Week Ireland 2017 Page for the print and the instructions of the No Left Turn Maze. Click here for the print. FRACTION HOPSTOTCH Popular Playground Game teaches equivalent fractions. Click here for the template of equivalent fractions hopscotch game ARROW MAZE Visit Math Week Ireland 2017 Page for the print and the instructions of the Arrow Maze NUMBER MAZE Visit Math Week Ireland 2017 Page for the print and the instructions of the Number Maze. Click here for the print.

Mathfan Shop Read. Watch. Play. Explore. Create Books Young Readers Mathflix P+ Games Toys and Gadgets 3D Models MATHFLIX PRIME +

Mathfan Shop Read. Watch. Play. Explore. Create Books Young Readers Mathflix P+ Games Toys and Gadgets 3D Models MATH BOOKS FOR EVERYONE Create your Personal or Class Library Age: 12+ Geometry Puzzles in Felt Tip: A compilation of puzzles from 2018 by Catriona Shearer Katharine Agg Buy on Amazon Age: 10+ The Puzzle Universe: A History of Mathematics in 315 Puzzles by Ivan Moscovich Buy on Amazon Age: 7+ Balance Benders I, II, III by Robert Femiano Buy on Amazon Age: 7 - 11 Molly and the Mathematical Mysteries by Eugenia Cheng Buy on Amazon Age: 10+ Women in Science by Rachel Ignotofsky Buy on Amazon Age: 10+ Librarian who measured the Earth by Kathryn Lasky Buy on Amazon Age: 11+ Euclid: The Man Who Invented Geometry by Shoo Rayner Buy on Amazon Age: 9+ What's Your Angle, Pythagoras? by Julie Ellis Buy on Amazon Age: 7+ The Boy Who Loved Math: by Deborah Heiligman Buy on Amazon Age: 7+ Counting on Katherine by Helaine Becker Buy on Amazon Age: 7+ Hidden Figures: by Margot L Shetterly Buy on Amazon Age: 15+ The Magic of Math: by Arthur Benjamin Buy on Amazon Age: 10+ Nikola Tesla by Amy M. O'Quinn Buy on Amazon Age: 9+ What's the Point of Math? by DK Buy on Amazon Age: 10+ Big Thinkers and Big Ideas by Sharon Kaye Buy on Amazon Age: 10+ George's Secret Key to the Universe by Stephen Hawking, Lucy Hawking Buy on Amazon Age: 12+ Letters to a Young Scientist by Edward O. Wilson Buy on Amazon Age: 9+ Exemplary Evidence by Jessica Fries-Gaither Buy on Amazon Age: 12+ Drawing Perspective by Markus Sebastian Agerer Buy on Amazon Age: 12+ The Magic Mirror by McLoughlin Bros. Buy on Amazon Age: 7+ Explorer Academy Codebreaking Activity Adventure by Gareth Moore Buy on Amazon Age: 9+ The Big Book of Brain Games: 1,000 PlayThinks of Art, Math & Science by Ivan Moscovich Buy on Amazon Age: 7+ The Dragon Curve by Alicia Burdess Buy on Amazon Age: 9+ 100 Things To Know About Numbers by Federico Mariani Buy on Amazon Age: 10+ We've Got Your Number by Mukul Patel Buy on Amazon Age: 9+ Archimedes: The Man Who Invented The Death Ray Science by Shoo Rayner Buy on Amazon Age: 9+ Pythagoras and the Ratios: A Math Adventure by Julie Ellis Buy on Amazon Age: 10+ Sir Cumference Book Series by Cindy Neushwander Buy on Amazon Age: 7+ Nothing Stopped Sophie by Cheryl Bardoe Buy on Amazon Age: 7+ Solving for M by Jennifer Swender Buy on Amazon Age: 7+ Ada Lovelace Cracks the Code by Rebel Girls Buy on Amazon Age: 10+ Massively Epic Engineering Disasters by Sean Connolly Buy on Amazon Age: 8+ The Math Inspectors by Daniel Kenney Buy on Amazon Age: 8+ Who was Seies by Roberta Edwards, Joyce Milton Buy on Amazon Age: 10+ My First Book of Quantum Physics by Kaid-Sala Ferrón Sheddad Buy on Amazon Age: 8+ What Is Climate Change? by Gail Herman Buy on Amazon Age: 9+ Notable Notebooks by Jessica Fries-Gaither Buy on Amazon Age: 12+ Optical Illusions by Jonathan Stephen Harris Buy on Amazon Age: 12+ Fantastic Flexagons by Nick Robinson Buy on Amazon Age: 8+ Maryam Mirzakhani by M. M. Eboch 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. ​ There are two leading math books prizes for kids; ​ The first one is MATHICAL. This prize is an annual award for fiction and nonfiction books that inspire children of all ages to see math in the world around them. Another one is The Royal Society Insight Investment Science Book Prize. ​ The Royal Society is founded on 28 November 1660 as the UK's National Academy of Sciences with the motto of "Nullius in Verba," which is Latin for "Take nobody's word for it . They award two prizes each year for the best books communicating science to non-specialists and young people. So by checking the website of the Royal Society, you can get recommendations for the kids and yourself. You can even see the shortlisted books belong to the previous years. ​ Royal Society Insight Investment Science Book Prize. and Young People's Book Prize ​ Do not forget to check out these pages too.

Can you think of a better way ​ to spread the love of math, to connect community and math, to talk about rich history and culture of math, to share the latest news and resources, to collaborate, and to be creative! ​ Every school can have a math festival, even a math week! Math has so many interesting aspects so an event at any scale can be planned ahead. And students do actually love being a part of such an event. Here are some ideas to celebrate math. MATH FEST & MATH WEEK DATE AND VENUE The most convinient date for an event is always the one which does not have a conflict with the other ongoing events of your school or community.Especially if you are planning to usethe cafeteria, MPR or the PE rooms. But if you have a freedom to choose, the best option can be having a parallel event to the International Day of Math which is the Pi Day: 14th of March. You may also want to check the math and science calender for the other important dates like Ada Lovelace birthday or international women in math day and etc.. INTERNATIONAL DAY OF MATHEMATICS UNESCO proclaimed March 14 as the International Day of Mathematics on November 26, 2019. ​ The International Day of Mathematics (IDM) is a worldwide celebration. Each year on March 14, all countries will be invited to participate through activities for both students and the general public in schools, museums, libraries, and other spaces. ​ You can check out the website of IDM to get the detailed information on Math Day and share your math day celebrations by using the hashtag #idm314 STATIONS There are many interesting activities you can plan with the students. Here are some ideas; String Art Show More Curve Stitching Show More Pascal Triangle Show More Spiral of Theodorus Show More Street Math Show More Math Magic Show More Fractals Show More Caesar cipher Show More Vedic Loops Show More Anamorphic art Show More Spirographs Show More Net of 4D Cube Show More Pi Related Activities Show More Tessellation Show More Randomized Art Show More 3D Printed Mat Show More You can check the Math & Art and Math Club pages for more activities PUZZLES AND GAMES Students enjoy most when they challenge each other on puzzles and games. There are endless possibilities to create different puzzles. You can create paper and pencil puzzles as well as digital ones. Here are some ideas. Please check the online games and puzzle s page for more ideas. Paper Puzzles Pillow Puzzle Catch Me If You Can! Bingo Missing Information Puzzle Single Cuts Square Puzzle Geomagic Squares Cats and Rats Square puzzle Sticky Numbers Pentomino Pairs If you have an extra budget, you can purchase some really good games and puzzles. Please check the games page for more. Buy on Amazon Buy on Amazon Buy on Amazon Buy on Amazon Buy on Amazon Buy on Amazon Buy on Amazon Buy on Amazon Buy on Amazon Buy on Amazon Buy on Amazon RANDOM ACT OF MATHS by mathsedideas Mathedideas is a great resource for all math teachers. Random Acts of Maths (RAMs) are Mathematical problems, puzzles, teasers, provocations, jokes, quotes, etc., to be offered or given to students (outside of lessons), their families, school visitors, et al., for no other reason than to make people mathier. PUZZLES by M+A+T+H=Love Another great discovery for all math teachers is definitely M+A+T+H=Love blog Sarah Carter the creator of the blog has so many paper and pencil puzzles you can use at different stations of the mathfest. EXHIBITIONS You may create different exhibitions according to the theme you choose. Exhibition Project Ideas: Women Mathematicians, Tessellations, Fractals, 3D Solids, Escher's mathematical wonders, origami, Pi-words Wall Mathematical Timeline... When students see their work being displayed as a part of the exhibition, their sense of belonging improves, and they take ownership of the whole event. Spaghetti Bridges Women in math Exhibition string art sample Women in math Wall size cipher structural engineering cjallange Math Posters origami pi wall 3d printed maze puzzles floor mazes Pascal Task Cards pi donuts Escher cylindirical mirror POSTERS, ADS, DECORATIONS, THEME, SONG, MOVIE, GIFT BAGS To announce the upcoming math event, designing competitions for posters, decorations, songs even short clips can motivate students even more for the event. Using Canva is one of the easiest ways of creating such posters. You can use paper puzzles and 3d printed mathematical games or gadgets to create gift bags. The Introductory video Math Festival 2019 The Teaser of Math Week'19 Koc School , Turkey