Does anyone know a specific name for the heptacube X33b in the link below? Since it has a very symmetric shape, I thought it might have a name for it.
http://www.recmath.com/PolyPages/PolyPages/Heptacubes/Pictures/Q5_4.png
Google image search with the Japanese term 六脚ブロック result in many of these polyhedron. But that is a name of the concrete structure product. I want to know the mathematical term for it. https://www.google.co.jp/search?q=%E5%85%AD%E8%84%9A%E3%83%96%E3%83%AD%E3%83%83%E3%82%AF&tbm=isch
I was playing with baby floor mats (joint mat) last weekend and came up with this shape. That is why I am curious.
The closest (named) polyhedron I know of is the tetrahemihexacron, what a mouthful!
Here is the image from the Wikipedia page:
Polyhedra can get pretty weird, so not everyone agrees that this thing is a proper polyhedron, because it has vertices at infinity (those rectangular prisms continue on forever).
So really, you would need to take the tetrahemihexacron, and cut off portions of those "bars" until they had finite length (I'm not sure there's a name for this polyhedron operation, since it normally returns a combinatorially equivalent polytope; i.e., does nothing interesting).
I think that those "bars" each extend to a single vertex at infinity, so that clipping off the excess counts as truncation. If true, it's possible that you have a truncated tetrahemihexacron. But it's probably more correct to say that your polyhedron matches models of a tetrahemihexacron.