#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!

2020-03-24 08.18.24

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: Appollonian 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.

#MathArtChallenge Day 6: Circle Toruses!

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: Find a smaller circle you can trace. Then trace large circle to use as a guide. Finally, trace a bunch of smaller circles in a ring to create a torus (more commonly known as a donut).

MATERIALS NEEDED: Paper, writing utensil(s), circles. The circles can be whatever, but rigid is helpful and even better if they’re empty (masking tape is great!)

use tape

Here are mine!

#MathArtChallenge Day 5: Probability 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!

THE CHALLENGE: Use something like a die or a coin to get random outputs. The probabilities don’t need to be equally spread! Assign a design to each output, and then get to designing. I have two examples for you below.

Huge thanks to Emily Lynch Victory for the inspiration for this challenge. She’s a fantastic mathematical artist that I met a few years ago at a math teacher conference, who had a piece like (but far superior!) to my first one below.

MATERIALS NEEDED: Honestly, whatever you want. There are endless possibilities on this one.

Example 1: Roll a die, design a grid!

I assigned a design to each of the 6 outputs of a regular die, and then rolled the die to figure out how I should color in a 6×6 grid.

Day5 MAC

Example 2: Crochet!

Here I flipped 2 coins and assigned each of the permutations a type of crochet stitch. I made each row 10 stitches long, and switched stitches each row. In the end, I made it into a möbius strip, because that’s just cooler.

HH: single crochet

HT: half double rochet

TH: double crochet

TT: Triple crochet

#MathArtChallenge Day 4: Hyperbolic Geometry

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 your very own Hyperbolic Plane from a simple piece of paper!

MATERIALS NEEDED: A square piece of paper. Youtube instructional video below!

Day4 MAC hyperbolic planes