#MathArtChallenge 100: Balloon Polyhedra

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 several papers written about this, so go check them out.

Materials needed: Twisting balloons, pump, patience
Math concepts you could explore with this challenge: angles, arithmetics, counting, geometry, graph theory, polygons, polyhedra, symmetry, vertices/intersections

#MathArtChallenge 99: Quilts & the Underground Railroad

A quilt containing 6 of the blocks mentioned below as having possibly been used as a code in the underground railroad.

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 concepts you could explore with this challenge: angles, arithmetic, geometry, philosophy on math, polygons, symmetry, tessellations.

#MathArtChallenge 97: Tomoko Fusé’s Bird Tetrahedron Origami

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The Challenge: Make an origami sculpture using Tomoko Fusé’s text Multidimensional Transoformations Unit Orgiami. (I used instructions on pgs 134, 138-139.)

Materials Needed: Paper (origami paper is handy, but any paper will work) and scissors/paper cutter.
Math Concepts: 3 dimensional building, angles, space filling, rotations, proportions

#MathArtChallenge 94: Twelvefold Islamic Geometric Rosette from Samira Mian

The Challenge: Make yourself a 12-fold Islamic Geometric Rosette.

Materials needed: Compass, straight edge, paper, pencil, colors
Math Concept: angles, circles, geometric construction, geometry, Islamic geometry, lines, polygons, symmetry, tessellations, vertices/intersections.

#MathArtChallenge 93: Archimedean Solids from Vertex descriptions

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

#MathArtChallenge 91: 3D Cube Cut-Outs

A potato cut in the shape of a letter A, with shadow behind it.

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 concepts you could explore with this challenge: angles, geometry, perspective, polyhedra, symmetry

#MathArtChallenge 86: Tla’amin Basket Weaving: Coding and Indigenous teaching

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The Challenge: Play with the widget here to explore your own Tla’amin basket weaving patterns.

Materials Needed: The applet linked above.
Math concepts you could explore with this challenge: geometry, sequences, symmetry, tessellations

#MathArtChallenge 84: Tangrams

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The Challenge: Get yourself a square of paper (or something else?) and cut yourself a set of tangrams. Then create away!

Materials Needed: Scissors, paper
Math concepts you could explore with this challenge: angles, geometry, lines, polygons, proportions/ratios, symmetry, tessellations

#MathArtChallenge 78: Ferozkoh Jaali & perspectives

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 concepts you could explore with this challenge: angles, circles, geometric construction, geometry, Islamic geometry, lines, symmetry, tessellations

#MathArtChallenge 76: Decagon & Pride Flag

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 concepts you could explore with this challenge: angles, circles, geometric construction, geometry, polygons, symmetry, vertices/intersetions.