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: How many 2 link knots can you find? See the examples above to help you get started.
Materials Needed: knot materials (these could be crocheted like I have, or shoe laces, or electrical cords which you can plug into themselves) Math conceptsyou could explore with this challenge: combinations & permutations, graph theory, knot theory, topology, vertices/intersections.
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
The Challenge: Using a vertex description, build yourself one, two… up to all 13 of the Archimedean solids.
Materials needed: Card stock and tape (painter’s tape is great, or masking. Other stuff will work, but I’ve had more success with the paper-y tapes.) OR Magnatiles, but those can get pretty pricey. Math Concepts: structure, polyhedra, angles, 3D structure
The Challenge: Find some materials that will allow you to create one of those beautiful 3D 3-letter (or shape? Follow your heart) cut-outs. I used a potato.
Materials Needed: Something you can cut up. Potatoes, crafting foam, apples… food, I think would work well here. Math conceptsyou could explore with this challenge: angles, geometry, perspective, polyhedra, symmetry
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