**The Challenge: **Create the above tessellation using compass and straight edge or isometric grid paper.

Materials Needed: compass, straight edge, grid paper, possibly isometric paper. *Math concepts* *you could explore with this challenge: *angles, circles, geometric construction, geometry, Islamic geometry, lines, symmetry, vertices/intersections.

# Category: Symmetry

## #MathArtChallenge Day 73: More Islamic Design

**The Challenge: **Create the tessellation above using a compass and straight edge. *Materials Needed: *Compass, straight edge, possibly grid paper*Math concepts* *you could explore with this challenge: *angles, circles, geometric construction, geometry, Islamic geometry, lines, symmetry, vertices/intersections.

## #MathArtChallenge Day 72: Stars

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

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

## #MathArtChallenge Day 71: Sona Drawings

Given what’s happening in my community right now, I felt it was necessary to highlight some Black brilliance today.

**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 concepts* *you could explore with this challenge: *angles, counting, geometry, graph theory, proportions/ratios, slope, symmetry, vertices/intersections

## #MathArtChallenge Day 70: Spinning Heptagon

**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 concepts* *you could explore with this challenge: *angles, geometry, origami, polygons, symmetry, vertices/intersections

## #MathArtChallenge Day 69: Another way to construct a rectangle

**The Challenge:** Construct a rectangle using a compass.

*Materials needed:* Compass, straight edge, writing utensil*Math concepts* *you could explore with this challenge: *angles, circles, geometric construction, geometry, lines, polygons, slope, symmetry, vertices/intersections

## #MathArtChallenge Day 67: Circular Celtic Grid

**The challenge:** To create this circular grid and then design using it.

*Materials needed:* Compass OR Desmos geometry. *Math concepts* *you could explore with this challenge: *circles, proportions/ratios, symmetry

## #MathArtChallenge Day 62: Wobblers

**The Challenge: **Build yourself a wobbler. Wobblers are 2 circle (or 2 ellipse!) constructions that have a constant center of mass. Or rather, a center of mass that doesn’t move up and down as the wobbler rolls. Thus, resulting in a satisfyingly continuous “wobble”.

*Materials Needed:* cardboard, ruler, boxcutter or scissors*Math concepts* *you could explore with this challenge: *algebra, angles, circles, geometry, proportions/ratios, symmetry, vertices/intersections

## #MathArtChallenge Day 61: Hilbert Curve

**The challenge:** Create a Hilbert curve.

*Materials needed:* Paper and pencil. Grid paper is helpful.*Math concepts* *you could explore with this challenge: *exponents, fractals, geometry, sequences, symmetry, tessellations

## #MathArtChallenge Day 60: Triangle Incenters ala Matt Henderson

**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 concepts* *you could explore with this challenge: *angles, geometry, polygons, symmetry, vertices/intersections