### New Resources for 2017

**Theme: ’17 Prime**

## 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...

## Rubik’s Magic

Own a Rubik's Magic or found yourself curious about how they work? These videos reveal some of the near endless constructible configurations to be explored. Bonus! If you are the lucky owner of this mathematical wonder, you can use this Celebration of Mind template...

## World’s Greatest Mathematical Card Trick

Invented by mathemagician Art Benjamin, shared by mathematician and prolific puzzle author Ian Stewart, and published by Author Garth Sundem, The World's Greatest Mathematical Card Trick is a search to identify the four aces. Follow this simple setup and rules until...

## Letters Puzzle Game

First, complete the puzzle by using each of the letters from 'Celebration of Mind' three times to fill in this puzzle with 13 words. Then, play head-to-head to cover up repeated letters quicker than your opponent. Submitted by: Jeremiah Farrell Time Required: 30...

## Recreational Mathematics

Martin Gardner recounts 25 years of puzzles and discoveries in this Scientific American article. Many of his very own puzzles are featured and their mathematical solutions are described in depth in this 1998 feature article. Source: Scientific American Time Required:...

## Semi-Magic Squares

Semi-magic squares are thought of as matrices in this arithmetic exploration. Split up a a shuffled deck of cards to create a magic-square out of playing cards with additional challenges. Submitted by: James Tanton Time Required: 30 minutes You’ll Need: paper, pencil,...

## Square Permutations

Do square permutations always exist? Work through solutions and scenarios through this exploration activity. Submitted by: James Tanton Time Required: 30 minutes You’ll Need: paper and pencil [maxbutton id="4"...

## Dividing Squares into Triangles

Explore the complexities in dividing squares into triangles. How many different ways can you divide a square into triangles of equal area? Attempt to answer this question, and others, while solving multiple challenges throughout the activity. Submitted by: James...

## Dots on a Circle

How many regions are created by connecting dots with line segments intersecting parts of a circle? Explore what happens when those dots are placed haphazardly versus symmetrically, as well as other theories and relationships. Submitted by: James Tanton Time Required:...

## Playing with Evens and Odds

Explore the concept of handshakes through this twist on connect-the-dots. Draw lines, representing handshakes, between dots, representing people, so that the number of lines drawn matches the number next to each dot. Submitted by: James Tanton Time Required: 30...

## Playing Pool

Explore angles as you theoretically shoot pool balls across grid paper in an attempt to land them in the pockets of the pool table. Where will the ball land if the pool table is a different size or the ball travels along another diagonal? (If this activity looks...

## Checkerboard Power

Explore the results of a variety of movements around a checkerboard. See how a piece's step count, its movement pattern and the board itself can affect the outcome of a piece's landing spot. Submitted by: James Tanton Time Required: 30 minutes You’ll Need: paper and...

## Sliding Around

Robert A. Hearn's Martin Gardner-inspired, coin-sliding puzzle takes sliding-coin puzzles to the next level. Instead of solving the puzzle in the fewest number of moves, these puzzles are similar to sliding-block puzzles in that there are specific places where coins...

## Math Puzzle Booklets

The Julia Robinson Mathematics Festival has gathered 44 pages of fun, mathematical puzzles. Solve squareable and trapezoidal numbers, staircase numbers, word and non-word puzzles, logic puzzles, and more with these four booklets packed full of challenges! Source:...

## Coin Puzzles

Play online or download popular coin puzzles at The Puzzle Playground. Slide, remove, or rearrange coins to form new patterns to solve these creative challenges. Source: Puzzles.com Time Required: 15 minutes + per puzzle You’ll Need: coins, or pen/pencil [maxbutton...

## 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...

## NumCode

Use revealed segments of digits to fill in each grid's cells made of of numbers 1 through 9. With their Sudoku-like style, these unique visual challenges are quite addictive! Submitted by: Peter Grabarchuk at Puzzlium Time Required: 15 minutes+ per puzzle You’ll Need:...

## Puzzlium Cut by Painting ABC

Use visual spatial reasoning to cut each shape into the number of identical parts shown. Rotation and/or reflection of pieces are allowed, making solutions more challenging than puzzles initially appear. Submitted by: Peter Grabarchuk at Puzzlium Time Required: less...

## Puzzlium Hardest Puzzles

How quickly can you solve three of Puzzlium's most challenging puzzles? Put your writing instrument and scissors to the test in these logic and visual spatial challenges. Submitted by: Peter Grabarchuk at Puzzlium Time Required: 15 minutes to 60 minutes per puzzle...

## Sliding-Coin Puzzles

In honor of Martin Gardner, mathematical and algorithmical solutions to some of his most publicized sliding-coin puzzles. Reconfigure coins by using a sequence of slides to reconfigure coins to create new patterns in some of Gardner's puzzling challenges. Source:...

## David’s Star Tiling Theory

Hexagon tiling resembles the creation of honeycombs in this mathematical tessellation. The edge-and-cover angle weave is used to create David's Star, a simple stitch with endless options for creative color patterns. Submitted by: Gwen Fisher Time Required: less than...

## Beaded Cubes

Use spatial reasoning while practicing basic sewing skills in this mathematical weaving activity. Turn a 2D representation into a 3D model with step-by-step instructions on bead weaving, a popular sewing technique Submitted by: Gwen Fisher Time Required: less than 60...

## Retrolife Puzzles

These elegant logic puzzles are played with black and white colored counters and an open grid. Arrange them into challenges of your own and see how long it takes you to solve them. Submitted by: Yossi Elran Time Required: 30 minutes + You’ll Need: black and white...