**The Challenge**: Draw a labyrinth.

*Materials Needed:* Patience, paper, pencil, maybe a compass. *Math concepts* *you could explore with this challenge: *Proportions/ratios, sequences

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# Category: Sequences

## #MathArtChallenge Day 30: Labyrinths

## #MathArtChallenge Day 26: Golden Spiral

## #MathArtChallenge Day 17: PERMUTOHEDRONS

## #MathArtChallenge Day 12: DRAGONS

An iteration of the dragon fractal drawing on grid paper.
## #mathartchallenge Day 10: Arrays

A rainbow array of butterflies (4×6)
## #MathArtChallenge Day 4: Hyperbolic Geometry

5 differently colored origami hyperbolic planes
## #MathArtChallenge Day 1: Tons of triangles

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 a labyrinth.

*Materials Needed:* Patience, paper, pencil, maybe a compass. *Math concepts* *you could explore with this challenge: *Proportions/ratios, sequences

**The Challenge**: Draw a golden spiral.

*Materials Needed*: Grid paper? Writing utensils.*Math concepts* *you could explore with this challenge: *geometry, proportions/ratios, sequences

**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.

(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

**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

**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

**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