The title prompt produces the following outputs when I try it on some prominent models (along with an image of an icosahedron in the real world):

None of these are even close to an acceptable image by my standards, though in other trials Stable Diffusion has fared somewhat better.

On 2023-06-01, I will go through every SoTA image model I am aware of and have access to, and obtain four generations from the prompt "A regular icosahedron carved out of wood". I'll settle to YES if any of the models tested yield a success on at least two of the four samples, where a success requires:

• All or almost all of the polyhedron is in frame

• It is clearly made out of wood

• It has well-defined faces that clearly meet along edges and vertices

• The faces are pretty close to equilateral (small deviation is OK)

• Exactly five faces meet at every vertex

• The perspective shown is physically realizable with some orientation of an icosahedron

For comparison, using this prompt with "cube" instead of "icosahedron" gives outputs that easily pass all the above requirements on SD2 and DALL-E, and kind of marginal outputs on MidJourney.

Fine-tuned models won't count, only general-purpose image models that haven't specifically focused on icosahedra or geometric objects or something.

I'll resolve early if there's a model before the resolution date that completely crushes this prompt, but I won't if it only sometimes gets it right (since it might still be the case that I get unlucky draws when sampling on 2023-06-01). I'll accept samples from non-public models if a commenter can credibly exhibit them.

I won't bet in this market.