## #MathArtChallenge Day 34: Similar Right Triangle Patterns.

The Challenge: Create a large number of similar right triangles using the technique described in this video from Mark Kaercher. Then play!

Materials Needed: Scissors, paper, ruler?
Math concepts you could explore with this challenge:  angles, geometry, lines, polygons, proportions/ratios

Continue reading “#MathArtChallenge Day 34: Similar Right Triangle Patterns.”

## #MathArtChallenge Day 29: Paper Roll Polyhedra

And now is a great time to explore some polyhedra if you haven’t yet done so! Here are some websites shared by Mark Kaercher that are great.

The Challenge: Make your very own paper roll polyhedra. All inspired by this tweet from Mr. Allan shared by Clarissa Grandi

Materials Needed: Paper rolls. Can be toilet paper or paper towel rolls or you can make your own!
Math concepts you could explore with this challenge: angles, geometry, polygons, polyhedra, symmetry, vertices/intersections

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## #MathArtChallenge Day 28: Paper Tube Designs

The Challenge: Today, courtesy of the extraordinary Mark Kaercher:

Materials Needed: Cardboard tube (toilet paper or paper towel rolls)
Math concepts you could explore with this challenge: angles, geometry, polygons, symmetry

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## #MathArtChallenge Day 27: Golden Icosahedron

The Challenge: Create your very own Golden Rectangle Icosahedron!

Materials Needed: Cardboard, markers, scissors/box cutter, string/ribbon/thread
Math concepts you could explore with this challenge: angles, geometric construction, geometry polygons, polyhedra, proportions/ratios, vertices/intersections

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## #MathArtChallenge Day 25: Tessellations

The Challenge: Great your very own tessellation from a small piece of cardboard.

1. Start with a square (Cereal or pop box cardboard works great) Mine was 2”x2”
2. Cut a piece from one side and tape it to an adjacent side.
3. Repeat for remaining 2 edges.
4. Trace!

Materials Needed: Pencil, paper, and cardboard from a cereal box or a pop box or something similarly thin but stiff enough to trace.
Math concepts you could explore with this challenge: angles, geometry, polygons, tessellations, vertices/intersections

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## #MathArtChallenge Day 24: Polygon Midpoints

The Challenge: Draw a polygon. Then mark the midpoint of each side. Connect the midpoints of each side to make a new polygon. Repeat. (Don’t sleep on the quadrilaterals here. They do something rather surprising and beautiful!)

Materials Needed: Paper & pencil or online graphing software like Geogebra or Desmos
Math concepts you could explore with this challenge: angles, fractals, functions, geometry, lines, polygons, proportions/ratios, slope symmetry, vertices/intersections.

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## #MathArtChallenge Day 21: Agra Fort Islamic Design

The Challenge : Create this design from the Agra Fort.

Materials Needed: If you have a compass, use this tutorial from Samira Mian. If you do not have a compass, you can use my instructions for making this from a regular grid below that.
Math concepts you could explore with this challenge: angles, geometric construction, lines, polygons, symmetry, tesselations, vertices/intersections

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## #MathArtChallenge Day 20: Origami Icosahedron

The Challenge: Fold 30 identical pieces of paper to put together as an icosahedron.

Materials Needed: 30 square pieces of paper. No problem if it’s not origami paper, you can use regular paper (and you can decorate it if you want!)
Math concepts you could explore with this challenge: Geometry, graph theory, origami, polygons, polyhedra, symmetry, vertices/intersections

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## #MathArtChallenge Day 17: PERMUTOHEDRONS

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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