#MathArtChallenge Day 18: Celtic Knots

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 Celtic knot, and do some wondering about why you got the number of links that you did. Can you predict how many links you’ll get? (I wrote another blog post on this a while ago, but only go there if you need more examples, because I reveal a lot of the good stuff in it: Knots, Links, & Learning)

MATERIALS NEEDED: Paper, pencil. If you have grid paper, that might help, and here is some special grid paper you can use courtesy of Justin Aion.

Here is a visual set of instructions, and below that is a video tutorial.

Day18 MAC instructions

#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 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?

2020-03-28 08.02.03

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!