Skallops and Regular Polygons

So my skallops arrived and I’ve had some time to play with them. Geometry teacher’s dream.

Ok.

Will the following setup make a polygon if I keep the same angle and keep adding on?

What about 30 degrees? 45, 60, 75, 90, 105, 120, 135, 150, 165, or 180 degrees?

Some completed shapes:

Square

Hexagon

Dodecagon

And

Here’s a picture of them all:

Enjoy. 3D stuff to follow sometime this summer.

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4 Responses to Skallops and Regular Polygons

  1. Very cool. A fun exploration would be “What kinds of equilateral concave polygons can you make?”

    This reminds me of a workshop I attended with George Hart this year: he designed and manufactured a 3D version of ‘Skallops’, and we spent the day building stuff with them. More here: http://mrhonner.com/2012/02/18/mfa-workshop-with-george-hart/

  2. Thanks for sharing Dan. I definitely will be ordering some Skallops soon. Can’t wait!

  3. Cathy says:

    Thanks for sharing your ideas here. As soon as I saw these Skallops on Kickstarter I had to order them too, anticipating the math potential in these toys. I was very excited when my two sets arrived but I haven’t had time to explore yet. You’ve encouraged me to get playing and think about some key questions that will provide a framework for students’ explorations and math discoveries.

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