I'm fine with being stupid

https://lemmy.dbzer0.com/post/56318916

I found this to help me imagine the shape:

Wouldn’t that make the face on the right non-planar?
If you’re free to put the center vertex anywhere, then I’d think you could position it to avoid that…
That scutoid (possibly all of them, I don’t know) is just a pentagonal prism with a corner cut off.
Look closer, the bottom face in a pentago, but the top is a hexagon.