This shape, which is an equilateral zonohedron, was shown by Turney to have 11 distinct nets.
The bidiakis version of this shape is a graph with 12 vertices, while the Bislit version has eight. When this shape is rotated about one of its space diagonals, the resulting envelope is a hyperboloid of one sheet. Prince Rupert's one of these shapes is the largest one of them which can be passed through a hole in another one of these shapes. This shape has Wytho  symbol 3|24 and is the Wenninger model W3. This shape, which is an equilateral zonohedron, was shown by Turney to have 11 distinct nets. This shape cannot be stellated because all of its faces are mutually   perpendicular. For ten points, identify this Platonic solid whose volume is equal to its edge length to the third power.
The bidiakis version of this shape is a graph with 12 vertices, while the Bislit version has eight.
cube [accept regular hexahedron, prompt on hexahedron]