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blog/2022/04/17/Vertices #3

Open utterances-bot opened 3 months ago

utterances-bot commented 3 months ago

Polygon vertices - Thomas T Burgess's Blog

There are only 21 ways to place regular polygons in gapless tilings. The point where the polygons meet is called a vertex. Vertices are named by the polygons...

https://thomasburgess.github.io/blog/2022/04/17/Vertices.html

Wagyx commented 3 months ago

Hi Thomas, It so happens that I solved the exact same problem, you can read my blog post about it here. Though, I also list other configurations where there is a gap (but no overlap). This study was an introduction to solving the positioning of polyhedra around a vertex (without gaps) in 3D space. So I made this post. Also the top picture reminded me of parquet faces, you can have a look here for the description and there for the interactive viewer. Great blog by the way !