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: 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
The Challenge: Create a self-repeating pattern – a fractal. You may choose your own design, or perhaps you recreate some of the ones from Ron Eglash’s survey studying the fractal formation of African villages. I did both of these looking at the applet at his website.
Materials Needed: paper and pencil, likely, but you can probably get more creative than that, too! Maybe using sculptural materials? Math conceptsyou could explore with this challenge: angles, fractals
The Challenge: Create this design, and then once you have the basic underlying grid, play around with the possible interpretations of how to color and “finalize” it.
Materials Needed: compass, straight edge, colors; could use graphing software. Math conceptsyou could explore with this challenge: angles, circles, geometric construction, geometry, Islamic geometry, lines, symmetry, tessellations