#MathArtChallenge Day 58: The Miura Fold

gif of Miura Fold poster

The Challenge: Fold a Miura fold. This was used on the Japanese “Space Flyer Unit” launched in 1995! (That website also has decent instructions.)

Materials needed: Patience, paper, some sort of pen/flat thing to sharpen creases.
Math concepts you could explore with this challenge: geometry, origami, symmetry

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#MathArtChallenge 57: Islamic Geometry – Sheikh Zayed Masjid

A 10 petal flower made with compass and straight edge.

The Challenge: I’m seeing the trees start blossoming around here (MN) so this felt like a good time for this one. I used Samira Mian‘s instructions. If you’re interested in Islamic Geometry, I cannot recommend her enough. Here is my creation, followed by her youtube video.

Materials required: Compass, straight edge, pencil.
Math concepts you could explore with this challenge: circles, geometric construction, Islamic geometry, symmetry, vertices/intersections

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#MathArtChallenge Day 55: Hyperboloid (George Hart & Elisabeth Heathfield)

Hyperboloid made from wooden skewers and rubber bands.

The Challenge: Build your own Hyperboloid

Materials needed: Skewers, Tiny rubber bands (I was able to get skewers at the grocery store and polybands from Target)
Math concepts you could explore with this challenge: Angles, geometric construction, lines, symmetry, topology, vertices/intersections

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#MathArtChallenge Day 53: Origami Firework from ONE piece of paper

2020-05-08 19.53.56
Finished Origami Firework

The Challenge: Make the Origami Firework, but this time, only use ONE PIECE OF PAPER.

Materials Needed: A long piece of paper, patience, and the knowledge that I BELIEVE IN YOU.
Math concepts you could explore with this challenge: angles, origami, symmetry

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#MathArtChallenge Day 50: Chair Fractals

Chair fractal

The Challenge: Make a chair fractal (That link will take you to the originators blog post about it. Seriously, go. It’s GREAT.)

Materials Needed: paper, pencil
Math concepts you could explore with this challenge: fractals, geometry, symmetry

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#MathArtChallenge Day 47: Origami Cube with Windows

The Challenge: Fold an origami cube with windows. Possibly make multiple. (This could be a great collaborative activity for a class!)

Materials needed: 12 pieces of paper, cut to rectangles with a 1:2 ratio.
Math concepts you could explore with this challenge: angles, geometry, origami, sequences, symmetry, vertices/intersections

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#MathArtChallenge Day 46: Origami Firework – Yami Yamauchi

gif of origami firework

(You may have picked up on this, but I tend to do the more involved things on the weekends when I have a bit more time. This one was HONESTLY pretty reasonable until the last step, which took me about 5 finicky minutes to get together. YOU CAN DO THIS. And it is SO SATISFYING when it’s finally together.)

The Challenge: Fold yourself an origami firework.

Materials Needed: 12 congruent paper squares, patience.
Math concepts you could explore with this challenge: angles, orgiami, symmetry, vertices/intersections

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#MathArtChallenge Day 45: The Lotfallah Mosque Dome

The Challenge: With a compass or with tech like Geogebra or Desmos Geometry, to recreate the Lotfallah Mosque Dome design.

Materials Needed: compass, straight edge, colors. You could also use graphing software for this.
Math concepts you could explore with this challenge: angles, circles, geometric construction, geometry, Islamic geometry, lines, polygons, proportions/ratios, symmetry, vertices/intersections

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#MathArtChallenge Day 42: Origami Octahedron

An origami octahedron.

The Challenge: Fold you own octahedron from 6 square pieces of paper.

Materials Needed: 6 square pieces of paper.
Math concepts you could explore with this challenge: angles, geometric construction, geometry, origami, symmetry, vertices/intersections

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