#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 68: Unknotting Number

A crocheted knot with the phrase “but if you change some crossings…”

The Challenge:

Materials needed: whiteboard?, pencil/paper?
Math concepts you could explore with this challenge: circles counting, knot theory, topology, vertices/intersections

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#MathArtChallenge Day 67: Circular Celtic Grid

A circular pattern within a circle.

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

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#MathArtChallenge Day 66: Venn Diagrams

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 concepts you could explore with this challenge: circles, combinations & permutations, graph theory, probability, 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 63: Super Tic-Tac-Toe

The challenge: This is another game (like sprouts). Great to play with a friend, can even be challenging for you to play against yourself! Lots of variety of how you decide who “wins”.

Materials needed: paper, pencil/pen
Math concepts you could explore with this challenge: probability

Depending on how you use this activity, you may engage with different mathematical standards. I’ve listed possible connected math content above. Here are a few suggestions for how you might integrate the 8 mathematical practices. Feel free to add your own suggestions in the comments! 

1.) Make sense of problems and persevere in solving them. What strategy will most likely end with you winning? Do you want to start or go second?

8.) Look for and express regularity in repeated reasoning. If you play until all boards are filled, what is the expected number of 3 in a row?

#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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