#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

#mathartchallenge Day 10: Arrays

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 array with materials around your house. What do you notice? What do you wonder?

MATERIALS NEEDED: Go crazy. Anything can work here.

#MathArtChallenge 9: Comparing Origami Butterflies

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!

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THE CHALLENGE: Make two different sizes of origami butterflies and then see what you notice and wonder about your pieces!

MATERIALS NEEDED: Two different sizes of square paper. (Can be obtained from non-square paper if you ask nicely.)

Instructions below.

 

 

 

 

 

 

 

Day9 MAC origami instructions

#MathArtChallenge Day 8: Apollonian Gaskets

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: Draw a large shape. Then place a large circle inside that shape, touching the edges 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.

 

If you’re interested in some of the math behind this, this is a great article, featuring the work of mathematician Hee Oh.

Vi Hart also has a great video along these lines, demonstrating some serious doodle skills.