In this infographic, I show all the shapes of geometry as they translate up through the dimensions. For example, a triangle in 2D will translate into a tetrahedron in 3D and it continues infinitely up through all the higher dimensions. Inspired by mathematician Matt Parker's book Things to Make and Do in the Fourth Dimension, the Shapescape focuses on polygons and polyhedra.

 

But it also features oddities like The Friendly Giant, an unexpected regular solid that only exists in dimension 196,883! It's incredible to believe, but a mathematical paper has been published proving this.

I added a few "impossible objects" in the margin. The poster is for discovery and inspiration, but mostly because I find these shapes so beautiful.

 

In fact, you can order one on my site Point Line Plane.

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CHART TYPE: Scatterplot