#MathArtChallenge Day 29: Paper Roll Polyhedra

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: Make your very own paper roll polyhedra. All inspired by this tweet from Mr. Allan shared by Clarissa Grandi

MATERIALS NEEDED: Paper rolls. Can be toilet paper or paper towel rolls or you can make your own!

Here are some that I made:

2020-04-12 14.40.31And now is a great time to explore some polyhedra if you haven’t yet done so! Here are some websites shared by Mark Kaercher that are great.

https://polyhedra.tessera.li/

https://www.templatemaker.nl/en/

#MathArtChallenge Day 28: Paper Tube Designs

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!

Today, courtesy of the extraordinary Mark Kaercher:

 

#MathArtChallenge Day 27: Golden Icosahedron

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 Golden Rectangle Icosahedron!

(Yes, I absolutely meant “rectangle”, but twitter doesn’t give you an edit button.)

MATERIALS NEEDED: Cardboard, markers, scissors/box cutter, string/ribbon/thread

 

 

#MathArtChallenge Day 26: Golden Spiral

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 golden spiral,

MATERIALS: Grid paper? Writing utensils.

Use grid paper. (Or not? Might be a neat wonky one if you don’t?)

Start with a 1×1 square and another next to it.

Using a 2 unit long side, create a 2×2 square.

Then a 3×3, etc.

When it’s as large as you like, draw connected quarter circles to form your spiral!

 

#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!

2020-04-08 08.13.50

#MathArtChallenge Day 23: Brunnian Links

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: Build a set of 3, 4 or maybe even 5 Brunnian links.

MATERIALS NEEDED: Your call. Joey already did the 3 link one with straws. I used crocheted yarn. Shoelaces?

And then because I realize it’s not nice to not pull apart the 4 for you:

DAY23 MAC STILLS

#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!

2020-04-05 20.39.04

#MathArtChallenge Day 21: Agra Fort Islamic Design

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 this design from the Agra Fort.

Day21 MAC still

MATERIALS NEEDED: If you have a compass, use this tutorial from Samira Mian. If you do not have a compass, you can use my instructions for making this from a regular grid below that.

Day21 MAC grid instructions

#MathArtChallenge Day 20: Origami Icosahedron

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: Fold 30 identical pieces of paper to put together as an icosahedron.

Day20 Icosahedron

MATERIALS NEEDED: 30 square pieces of paper. No problem if it’s not origami paper, you can use regular paper (and you can decorate it if you want!)