Crafts & DIY Projects

Do-It-Yourselfers, Makers, & Artists will Love These!


How to Fold a Trihexaflexagon

Use the included templates to create these folded paper polygons that appear to have two sides. Follow the step-by-step instructions to form the included patterns, or use the included templates as guides to create your own. Submitted by: MathsCraftNZ Time Required: 15...

Crocheting a Mobius Strip

Use a combination of chain stitches and double crochet stitches to crochet a Mobius Strip as large or small as you wish. Using a new material, such as yarn, to create this unique wonder will reveal something new about its structure. Submitted by: MathsCraftNZ Time...

Map Colouring and the Four Colour Theorem

Can you colour this map using only four colors? The Four Colour Theorem says that no more than four colours can be used so that the regions that share a common boundary do not share the same colour. Submitted by: MathsCraftNZ Time Required: 30 minutes + You’ll Need:...

Drawing Pursuit Curves

When predators hunt their prey they move along pursuit curves which can turn into logarithmic spirals when the right factors align. Recreate this pursuit on paper to explore this concept, ultimately creating beautiful patterns. Submitted by: MathsCraftNZ Time...

How to Create String Art

A set of 90 degree axes quickly turns into a beautiful parabola with a few quick strokes or stitches. There's no limit to what you can create as you repeat this simple pattern. Submitted by: MathsCraftNZ Time Required: less than 15 minutes for the simplest design...

Golden 16

Use the brightly colored shapes surrounding the line drawing or have fun coloring the composition to create unique patterns and tilings. Experiment with adding a few extra lines to see if you can find other shapes within the pattern such as: Penrose darts, smaller...

Doubly Marked Robinson Tiles

These Robinson Tiles are like nothing you’ve seen before and are sure to boggle your mind! Cut them out and play around with putting them together. What structure do they naturally force? What patterns can you find? Use the blank tiles provided to draw your own set...

74G4G7

In this edge-matching puzzle you’ll have to figure out how to arrange seven double-sided hexagons in a hexagonal pattern so that all of the meeting corners on both sides match either with dots or without. There are two solutions to this brain boggler! Submitted by:...

Mathematically Correct Breakfast

Turn an ordinary breakfast into magic by following these simple instructions on how to slice a bagel into two linked halves. Not only is it more fun to eat a bagel this way, but you'll have slightly more surface area to apply your cream cheese! Submitted by: George W....

Cheshire Cat Vanish

This delightful illusion is sure to put a smile on your face as quickly as it vanishes from one Cheshire cat. All you need to do is print, cut and move the three puzzle pieces around to see 5 cats turn to 4! Which cat do you think will disappear? Submitted by:...

Rhombic Triacontahedron with Lizard Tessellation

This hands–on activity is wonderful fun and learning for kids--you’ll combine art and mathematics as you make a polyhedron decorated with a cool lizard tessellation. Submitted by: Robert Fathauer Time Required: 30 minutes + You’ll Need: scissors, stiff paper or card...

Nobbly Wobbly Workshop

Host your own Nobbly Wobbly Workshop! Materials and resources will leave your group considering the aesthetics, psychology, and mathematics involved in quality puzzle making and solving. Submitted by: Dick Esterle Time Required: 20 minutes + You’ll Need: scissors and...

3D Dragon Illusion

Print, Cut, Fold and assemble your very own Thinky the dragon. Close one eye and slowly move around the room. Isn’t it amazing how Thinky follows you wherever you go? Submitted by: ThinkFun Time Required: 15 minutes You’ll Need: paper, scissors, glue or tape...

Möbius Strip Surprise

This simple mathematical wonder seems like magic every time! You’ll only need scissors, tape and your printed PDF to create Martin Gardner’s Möbius Surprise. Before you cut, challenge your friends to guess what it will turn into. You are sure to be amazed! Submitted...

Flexagon Party

There is no better way to celebrate Martin Gardner than to throw a Flexagon party! Here you will learn how to make basic and advanced hexaflexagons and trihexaflexagons. Find books, videos and all sorts of resources that will introduce you to the magic behind these...

Dollar Bill Geometric Vanish

Without violating the laws of physics or logic you’ll amaze your friends by showing them how seamlessly you’re able to make Martin’s face disappear from this dollar bill. Simply cut as shown and reassemble. Can you explain the math behind this magic? Submitted by:...

Vi Hart Balloon Booklet

In this edge-matching puzzle you’ll have to figure out how to arrange seven double-sided hexagons in a hexagonal pattern so that all of the meeting corners on both sides match either with dots or without. There are two solutions to this brain boggler! Submitted by: Vi...

Heart Mobius Strip

Turn two regular Mobius strips into linked hearts. It's the perfect activity for Valentine's Day or to share with friends. All you need is paper, scissors, tape and someone you love! Sponsored by: Elwyn & Jennifer Berlekamp Foundation Time Required: 15 minutes You’ll...