Content-Type: text/shitpost

Subject: Octahedral cathedral
Path: you​!your-host​!ultron​!brain-in-a-vat​!am​!plovergw​!ploverhub​!shitpost​!mjd
Date: 2022-03-28T12:03:53
Newsgroup: misc.octahedral-cathedral
Message-ID: <>
Content-Type: text/shitpost

As far as I can tell there are no octahedral cathedrals. Why not?

Google search produces several claimed examples, such as the Cathedral of San Flaviano in Giulianova. But photographs make clear that this is actually an octagonal cathedral, actually an octagonal prism surmounted by a dome. Similarly, St. Basil's cathedral in Moscow has a floor plan with a roughly eightfold symmetry, but is not octahedral in any way.

Polyhedral buildings are common, but the space is dominated by cuboids. Even the Kaaba in Mecca, despite its name (“cube” in Arabic) and its enormous religious significance, is only approximately cubical, visibly irregular.

The Egyptians famously made pyramids but they are all pentahedral. none is a tetrahedron, much less a regular tetrahedron. A regular tetrahedron is too steep for practical construction anyway; the Egyptians had bad experiences with overly-steep pyramids.

It should not be too hard to make a building in the shape of a regular octahedron, considered as a triangular antiprism. I would be surprised if there weren't one somewhere. When I am King of the World, there will be an octahedral cathedral or someone will have brief but very uncomfortable conversation with me about their failure.

Also, where the hell is my Sonar Taxlaw fanfic?