Want to own your own pentagonal prism? Grab seven pieces of cardboard, some tape, and a quiet afternoon. Cut two identical pentagons and five equal-sized rectangles. Tape them together.
Fun fact: if you make it out of honeycomb, bees will stage a protest. Bees actually build hexagonal prisms—and they’re furious that pentagonal prisms exist. (Bees are shape-snobs.)
The Shocking Truth: It’s Almost a Cube
If you shrink the pentagon’s sides, the pentagonal prism starts looking a lot like a cube. It’s a cube with performance anxiety. But that’s what makes it beautiful: it’s the shape that tried to be boring but couldn’t.
In fact, the pentagonal prism is a Johnson solid—a special category of shapes that are strictly convex and made of regular polygons. It’s the nerdiest club in geometry, and your pentagonal prism has a lifetime membership.
