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

The Challenge: Today’s math art challenge is to play the chaos game, and was inspired while I was perusing the excellent Power in Numbers by Talithia Williams. Her chapter on Fern Hunt indicated one of her research interests as Chaos Theory – something that always grabs kids attention, and leads to one of the more fascinating probability related math-art creations.

Materials Needed: randomizer (die, coin, etc.), paper, pencil, possibly graphing software. Math conceptsyou could explore with this challenge: fractals, probability, randomness

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: Create the tessellation above using a compass and straight edge.

Materials Needed: Compass, straight edge, possibly grid paper Math conceptsyou could explore with this challenge: angles, circles, geometric construction, geometry, Islamic geometry, lines, symmetry, vertices/intersections.

The Challenge: Create all of the possible “stars” given a certain number of vertices.

Materials Needed: Pencil/paper Math conceptsyou could explore with this challenge: angles, arithmetic, circles, combinations & permutations, lines, proportions/ratios, symmetry, vertices/intersections

The Challenge: (Re)create a Sona drawing. I did a couple hours of research yesterday (which is totally insufficient to fully understand it), but what I can tell you is that these drawings originate with the Chokwe people in southwestern Africa, specifically Angola and the southern part of the Democratic Republic of the Congo. The drawings are told in conjunction with a story, and the goal of most is to draw them in as unbroken a line. Please check out some of the resources below, and if you have others to add, I’d love to see them and link them here.

Materials Needed: grid, pencil, paper, perhaps graphing software. Math conceptsyou could explore with this challenge: angles, counting, geometry, graph theory, proportions/ratios, slope, symmetry, vertices/intersections

A complete 3 set Venn diagram, and an incomplete 4 set Venn diagram.

The challenge: Create a complete (all 16 spaces) 4 set venn diagram.

Materials needed: Pencil, paper, other?? Math conceptsyou could explore with this challenge: circles, combinations & permutations, graph theory, probability, vertices/intersections