#MathArtChallenge Day 16: Mondrian Puzzles

Day16 MAC
One large rectangle colored in pale yellow, blue and pinks below multiple other rectangles split into many rectangles.

The Challenge: Create a Mondrian artwork (maybe with a goal of getting the lowest score?) Here’s a Math Pickle article to get you started.

Materials Needed: Writing utensil and paper. (This would be fun with chalk on a sidewalk!)
Math concepts you could explore with this challenge: arithmetic, geometry, proportions/ratios

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#MathArtChallenge Day 15: Isometric Illusions

2020-03-30 07.52.09-1

The Challenge: Create an illusion using isometric lines.

Materials Needed: Isometric Grid paper You can print some or you can create some (that just takes a bit of patience), pencil and ERASER. This challenge is best done as an exercise in erasing, changing and play. You can see in my time lapse below just how much erasing I did and I’ve done this kind of thing many times before. Be gentle with yourself.
Math concepts you could explore with this challenge: Angles, geometric construction, geometry, isometric grids, perspective

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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 8: Apollonian Gaskets

The Challenge: Draw a large shape. Then place a large circle inside that shape, touching at least one edge of the original shape. Then draw the next largest circle you can, and repeat drawing the next largest circle you can. (See video below for examples.)

Materials Needed: Writing utensil, paper.
Math concepts you could explore with this challenge: : Ratios, radius, tangency (tangent circles), proportions, area, perimeter, fractals, geometry

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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 3: Isometric Cube Cutouts

Day3 MAC
Purple 3D looking cube with instructions for how to draw

The Challenge: Draw a cube by connecting 3 rhombi (see below). Then use lines parallel to those of the rhombi to embellish the cube.

Materials Needed: writing surface, writing utensil, straight edge, colors
Math concepts you could explore with this challenge: geometric construction, isometric grids, lines, perspective, polygons, polyhedra, topology, vertices/intersections

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#MathArtChallenge: Day 2 Looping Colors

Day2 MAC
A looping line, with created spaces alternating blue and red in color.

The Challenge: Draw a long, looping, self-intersecting line that meets back with itself at the start. Avoid having any 3 lines cross at the same intersection (although after a bit it may be fun to play with this). Then, select a color, and start coloring in the spaces created by your line’s intersections.
Can you color it such that you end with every section alternating colors?

Materials Needed: writing utensil, writing surface
Math concepts you could explore with this challenge: counting, functions, geometry, knot theory, 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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