#MathArtChallenge Day 17: PERMUTOHEDRONS

The #MathArtChallenge is just a fun, simple way to engage our brains during this time of unease. All tasks are low tech: paper, pencil, maybe string. Nothing fancy. I would LOVE to see what you come up with. Post on social media with the hashtag #MathArtChallenge!

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.

To see an answer, scroll down. (To not spoil the fun, you have to scroll down pretty far.)

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Here you go. This is a flattened version of the answer, but it’s really satisfying to find. If you were to build this in 3D you would get a truncated octahedron. Every permutation should be connected to 3 other permutations.

Day17 MAC SPOILER Answer

#MathArtChallenge Day 16: Mondrian Puzzles

The #MathArtChallenge is just a fun, simple way to engage our brains during this time of unease. All tasks are low tech: paper, pencil, maybe string. Nothing fancy. I would LOVE to see what you come up with. Post on social media with the hashtag #MathArtChallenge!

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!)

Day16 MAC instructionsDay16 MAC

Above is my attempt at a 6×6 grid. I do not yet, I believe, have the best solution, but it’s okay. Stay tuned for a bonus twist to this one today!

#MathArtChallenge Day 15: Isometric Illusions

The #MathArtChallenge is just a fun, simple way to engage our brains during this time of unease. All tasks are low tech: paper, pencil, maybe string. Nothing fancy. I would LOVE to see what you come up with. Post on social media with the hashtag #MathArtChallenge!

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.

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#MathArtChallenge Day 14: Hitomezashi stitching (Suggested by Katherine Seaton)

The #MathArtChallenge is just a fun, simple way to engage our brains during this time of unease. All tasks are low tech: paper, pencil, maybe string. Nothing fancy. I would LOVE to see what you come up with. Post on social media with the hashtag #MathArtChallenge!

Thanks to Katherine Seaton for sharing this idea!

THE CHALLENGE: Using grid paper, assign each row/column a 0 or a 1. Then “stitch” both ways. You could assign the 0s and 1s as you prefer, or with a coin, or you could code something in binary!

MATERIALS NEEDED: Grid/dot paper (You can print some or make some without too much trouble), or if you have the stitching materials…

Here’s a brilliant long form tutorial from Neil Butler, if that helps!

And here is a brilliant way for you to adapt this to teach experimental probability:

#MathArtChallenge Day 13: Overlapping Circles

The #MathArtChallenge is just a fun, simple way to engage our brains during this time of unease. All tasks are low tech: paper, pencil, maybe string. Nothing fancy. I would LOVE to see what you come up with. Post on social media with the hashtag #MathArtChallenge!

THE CHALLENGE: Can you figure out all of the ways that 3 circles overlap?

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MATERIALS NEEDED: Curiosity and patience. Whatever medium you like! Please watch ONLY the first 1 minute and 20 seconds of this video. If you watch more, the answer will be given away! Don’t ruin it for yourself! It’ll be so satisfying if you do it yourself!

#MathArtChallenge Day 12: DRAGONS

The #MathArtChallenge is just a fun, simple way to engage our brains during this time of unease. All tasks are low tech: paper, pencil, maybe string. Nothing fancy. I would LOVE to see what you come up with. Post on social media with the hashtag #MathArtChallenge!

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.

MATERIALS NEEDED: There are a couple options here.

  1. Paper and marker (sharpie?). Maybe grid paper, preferably paper that is thin enough to see through (notebook paper is normally thin enough)
  2. Strips of paper to fold it.
  3. Whiteboard marker and whiteboard/window?
  4. ??? I bet you have better ideas than I do.

Here are my attempts:

 

And below are videos explaining what it is and how you can make it, too!

#MathArtChallenge Day 11: 8-Pointed Star

The #MathArtChallenge is just a fun, simple way to engage our brains during this time of unease. All tasks are low tech: paper, pencil, maybe string. Nothing fancy. I would LOVE to see what you come up with. Post on social media with the hashtag #MathArtChallenge!

Note: This is a first foray for the #mathartchallenge into Islamic Geometry. I would be a fool to not take this opportunity to teach you about Samira Mian. Her online courses are fantastic, and her tutorials are great. So are is her instagram!

THE CHALLENGE: Construct an 8-pointed star, and possibly tile it?

MATERIALS NEEDED: Straight edge, writing utensils, paper, compass? (There are tutorials for both compass and no compasses below.)

Day11 MAC eight point star