#MathArtChallenge Day 25: Tessellations

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: 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.

#MathArtChallenge Day 24: Polygon Midpoints

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:

  1. Draw a polygon.
  2. Mark the midpoint of each side.
  3. Connect the midpoints of each side to make a new polygon.
  4. Repeat.

Don’t sleep on the quadrilaterals here. They do something rather surprising and beautiful!

MATERIALS NEEDED: Whatever you prefer!

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#MathArtChallenge Day 22: Extending Day 14…

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: Dave Richeson came up with a brilliant extension for Day 14

MATERIALS NEEDED: paper (grid?) and pencil!

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#MathArtChallenge Day 19: Alternating 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: Draw an alternating knot. Then see if there’s any way to draw a looping line that cannot be turned into an alternating knot.

MATERIALS NEEDED: Pencil & eraser, or whiteboard, or markers?

#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!)

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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 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 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.

#MathArtChallenge Day 7: Cardioids!

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!

Day7 MAC Cardiod

THE CHALLENGE:

 

MATERIALS NEEDED: Paper, circle to trace (yogurt or oatmeal lid?), writing utensil, straight edge (doesn’t have to be a ruler, could just be a piece of cardboard cut straight or any other number of things.