The image was inspired by Abbot's classic "Flatland". Indeed, the curator of the museum, whose picture is on the wall, is the same pentagon who narated the transdimensional Victorian epic. Each pedestal is a ball-jointed framework, and is rigid in the dimensions in which the statue resides. The 1-dimensional linelander requires only a connected pedestal, while the statue of the esteemed hexagon from flatland can make due with the graph of a triangulated topological disk. The spacelander rests on a stack of octahedra, which are rigid by Cauchy's Theorem. For the zero-dimensional case we have merely the spot on the floor, indicating that rigidity in zero-dimensions is virtually pointless.

(The three visitors to the museum are of course the authors of the book, and if you look closely you can recognize who is who.)

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