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The 14 Different Types of Convex Pentagons that Tile the Plane

Posting this, as several people have been playing around with pentagons lately:

The 14 Different Types of Convex Pentagons that Tile the Plane (at

a wonderful set of visual examples of the 14 known tilings.

I found (re-found?) this site, from another site I have bookmarked- Marjorie Rice’s pentagonal tessellation page:

worth looking at as well, especially this design…


  1. Kevin says

    those pictures of possible pentagon shapes are really amazing…
    are you going to attempt at making them?

  2. Administrator says

    sure- I actually started folding this exact pattern a few months ago, and I had stopped at the time because it involved more prefolding than I was really interested in doing.

    I’m becoming more patient in such work these days, so I’ll probably try it again with some larger paper.

    Or, maybe I’ll be lucky and Melisande will fold it first!

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