#MathArtChallenge Day 17: PERMUTOHEDRONS

Day17 MAC SPOILER Answer

The Challenge: Create your very own order 4 Permutohedron (see video below).

Materials Needed: Paper, pencil, patience, and if you want to go 3D, you sure can. Post-it notes work pretty well when playing with this.
Math concepts you could explore with this challenge: angles, combinations & permutations, geometric construction, geometry, graph theory, polyhedra, sequences, vertices/intersections.

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#MathArtChallenge Day 12: DRAGONS

An iteration of the dragon fractal drawing on grid paper.

(Props to Kate Nowak who suggested this.)

The Challenge: Create as many iterations of the Dragon Fractal as you can. See below for my attempts and videos to help.

Material Needed: There are a couple options here:
-Paper and marker (sharpie?). Maybe grid paper, preferably paper that is thin enough to see through (notebook paper is normally thin enough)
-Strips of paper to fold it
-Whiteboard marker and whiteboard/window
-??? I bet you have better ideas than I do.
Math concepts you could explore with this challenge:  fractals, functions, geometry, proportions & ratios, sequences

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#mathartchallenge Day 10: Arrays

A rainbow array of butterflies (4×6)

The Challenge: Create an array with materials around your house. What do you notice? What do you wonder?

Materials needed: Go wild. Anything can work here: origami butterflies, shoes, paperclips, cereal, pencils…
Math concepts you could explore with this challenge: arithmetic (multiplication), counting, proportions/ratios, sequences, symmetry

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#MathArtChallenge Day 4: Hyperbolic Geometry

Day4 MAC hyperbolic planes
5 differently colored origami hyperbolic planes

The Challenge: Fold your very own Hyperbolic Plane from a simple piece of paper!

Materials Needed: A square piece of paper. Youtube instructional video below!
Math concepts you could explore with this challenge:  Algebra (how many folds per stage?), angles, counting, exponents, functions, geometry, Hyperbolic planes, proportions/ratios, sequences, symmetry, topology, vertices/intersections

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#MathArtChallenge Day 1: Tons of triangles

Day1 MAC
A sketch of many connected triangles, 7 per vertex. The triangles radiate out from the center, and begin bunching together at the edges as they’re no more space for the growing number of triangles.

The Challenge: Draw as many connected triangles as you can. Goal is to have as many vertices with 7 triangles as possible.

Materials Required: Writing surface, writing utensil
Math concepts you could explore with this challenge: angles, counting, exponents, fractals, functions (exponential), triangles, geometry, graph theory, hyperbolic geometry, lines, polygons, sequences, intersections/vertices

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