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: 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: Suggested by Clarissa Grandi, to cut out and construct this flowered dodecahedron. Mine below followed by links to instructions. Materials Needed: A set of these papers printed and cut from cardstock. (there are other sized pieces available at the links below. Math conceptsyou could explore with this challenge: geometric construction, geometry, polygons, polyhedra, symmetry, vertices/intersections
And now is a great time to explore some polyhedra if you haven’t yet done so! Here are some websites shared by Mark Kaercher that are great.
The Challenge: Make your very own paper roll polyhedra. All inspired by this tweet from Mr. Allan shared by Clarissa Grandi
Materials Needed: Paper rolls. Can be toilet paper or paper towel rolls or you can make your own! Math conceptsyou could explore with this challenge: angles, geometry, polygons, polyhedra, symmetry, vertices/intersections
The Challenge: Fold 30 identical pieces of paper to put together as an icosahedron.
Materials Needed: 30 square pieces of paper. No problem if it’s not origami paper, you can use regular paper (and you can decorate it if you want!) Math conceptsyou could explore with this challenge: Geometry, graph theory, origami, polygons, polyhedra, symmetry, vertices/intersections
The Challenge: Create your very own order 4 Permutohedron (see video below).
Materials Needed: Paper, pencil, patience, and if you want to go 3D, you sure can. Post-it notes work pretty well when playing with this. Math conceptsyou could explore with this challenge: angles, combinations & permutations, geometric construction, geometry, graph theory, polyhedra, sequences, vertices/intersections.