#MathArtChallenge 94: Twelvefold Islamic Geometric Rosette from Samira Mian

12fold rosette full

The Challenge: Make yourself a 12-fold Islamic Geometric Rosette.

Materials needed: Compass, straight edge, paper, pencil, colors
Math Concept: geometry, intersections, tessellating, polygons, proportions

All of the instructions I followed here can be found at Samira Mian’s website. If you aren’t already familiar with how much I respect and admire this woman, you probably haven’t been following me particularly closely. I couldn’t do the last 10 without nodding to Samira. Her work is an absolute gift to the mathematics community. You should probably definitely go take her first and second online classes.

12fold rosette detail

Here’s the time lapse of me making it:

Things to ponder:

  • Check out how different the rosette looks when it’s in a 4 fold or a 6 fold tiling (you can see both at Samira’s page). What shapes change? How are the tilings similar or different?
  • What other ways could you highlight shapes? Is there a way to have a laced pattern with alternating shapes colored or empty? (Positive and negative space)

(p.s. I know this is a day late. I was at the EduColor summit yesterday and it was just necessary for me to spend my time there. I’ll still try to post another later today.) 

Depending on how you use this activity, you may engage with different standards. Here are a few suggestions for how you might integrate the 8 mathematical practices. Feel free to add your own suggestions in the comments!

1.) Make sense of problems and persevere in solving them. How does this rosette change when it is tessellated in 4fold vs 6fold symmetry?

6.) Attend to precision. What do you notice about this construction compared with other Islamic constructions?

#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 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!

Day11 MAC eight point star

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.)