#MathArtChallenge 76: Decagon & Pride Flag

MAC 75 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.

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#MathArtChallenge Day 74

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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.

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#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.

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#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

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#MathArtChallenge Day 70: Spinning Heptagon

gif of a 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

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#MathArtChallenge Day 69: Another way to construct a rectangle

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A circle with a diameter. Multiple line segments connect from the end points of the diameter to another place on the circle.

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

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#MathArtChallenge Day 64: Anamorphic Raintangle (from woollythoughts.com)

The challenge: Create a rainbow and get it reflected in a curved surface to reveal a rectangle. All credit here to Woolly Thoughts! (They have wonderful things for you to play with there.)

Materials needed: I crocheted mine, which was a fun puzzle to get an even rainbow. They have knitting instructions on their website, but you could just as easily draw this with markers. I used tinfoil as my reflective surface wrapped around a nail polish remover bottle. I bet you all get more creative than myself.
Math concepts you could explore with this challenge: circles, geometry, perspective, proportions/ratios

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#MathArtChallenge Day 62: Wobblers

gif of a wobbler wobbling left to right

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

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#MathArtChallenge Day 61: Hilbert Curve

A 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

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#MathArtChallenge Day 60: Triangle Incenters ala Matt Henderson

An orange triangle with a large number of folds and lines drawn on it.

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

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