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: Create this decagon using the symmetries visible in the piece. The central images are rhombi.
Materials Needed: compass or ruler, could also use graphing software (see below!) Math conceptsyou could explore with this challenge: angles, circles, geometric construction, geometry, polygons, symmetry, vertices/intersetions.
The Challenge: This is a modular origami (7 squares) spinning top.
Materials needed: 7 squares of paper. Any paper will do, it doesn’t need to be origami paper. Math conceptsyou could explore with this challenge: angles, geometry, origami, polygons, symmetry, vertices/intersections
The Challenge: Create your own version of Matt Henderson’s triangle incenters.
Materials needed: Paper? Pencil? Origami? Graphing software? (There are lots of options here.) Math conceptsyou could explore with this challenge: angles, geometry, polygons, symmetry, vertices/intersections