In the first, allow me to thank each and every one of you who has participated in the #MathArtChallenge in the last few months. This is my “last” post. Meaning, I don’t promise to make more Math Art Challenges, but there’s always the chance that something will come up…
All of the #MathArtChallenge-s will continue to be up on this blog, and I really hope that you’ll make use of them in your classes or in your fun time or however brings you joy.
The Challenge: Today, you get Balloon Polyhedra. There’s actually severalpapers written about this, so go check them out.
Materials needed: Twisting balloons, pump, patience Math conceptsyou could explore with this challenge: angles, arithmetics, counting, geometry, graph theory, polygons, polyhedra, symmetry, vertices/intersections
The Challenge: Learn a bit about the code discussed below, and then have yourself or students create some or all of the quilt blocks discussed.
Materials needed: Certainly you can make these as actual quilt pieces. You can also just use a square piece of paper and work on construction within that using paper and pencil. Math conceptsyou could explore with this challenge: angles, arithmetic, geometry, philosophy on math, polygons, symmetry, tessellations.
The Challenge: Create a magic square. Bonus points if you make it a physical thing.
Materials Needed: Legos, blocks or coins all work well for making these towers. Could also be pen/pencil & paper, of course. Math Concepts: Algebra, arithmetic, counting, proportions/ratios, structure, sum of 1-n integers
Materials Needed: Paper, pencil, and probably a good eraser. You could also do this using a whiteboard or other writing surface. Math conceptsyou could explore with this challenge: algebra, arithmetic, counting, fractals, functions isometric, proportions/ratios
The Challenge: Start by making (or use mine below) a Pascal’s Triangle. Then shade in some sequence of values. I suggest starting with even/odd numbers, and then perhaps multiple of 3, 4 etc.
Materials Needed: Pascal’s triangle. You can print one or you can create your own! Math conceptsyou could explore with this challenge: algebra, arithmetic, combinations & permutations, counting, functions, proportions/ratios, sequences, symmetry
The Challenge: Create a Celtic knot, and do some wondering about why you got the number of links that you did. Can you predict how many links you’ll get? (I wrote another blog post on this a while ago, but only go there if you need more examples, because I reveal a lot of the good stuff in it: Knots, Links, & Learning)
Materials Needed: Paper, pencil. If you have grid paper, that might help, and here is some special grid paper you can use courtesy of Justin Aion. Day18 11×15 Celtic Knot Grid Day18 MAC 16×22 Celtic Knot Grid (or you can just rotate grid paper 45 degrees like I do in the video below) Math conceptsyou could explore with this challenge: arithmetic, combinations & permutations, counting, knot theory, proportions/ratios.