Cube have octahedral symmetry. The cube is a part of a sequence of rhombic polyhedra and tilings with ["n",3] Coxeter group symmetry. The cube can be seen as a rhombic hexahedron where the rhombi are squares. The cube is a square prism: As a trigonal trapezohedron, the cube is related to the hexagonal dihedral symmetry family. It is an element of 9 of 28 convex uniform honeycombs: It is also an element of five four-dimensional uniform polychora: The skeleton of the cube (the vertices and edges) form a graph, with 8 vertices, and 12 edges. It is a special case of
Necker cube "Factoring Humanity" that "Necker" becomes a verb, meaning to impel one's brain to switch from one perspective or perception to another. The Necker cube is used to illustrate how vampires in the science fiction novels "Blindsight" and "Echopraxia" have superior pattern recognition skills. One of the pieces of evidence is that vampires can see both interpretations of the Necker Cube simultaneously which sets them apart from baseline humanity. Citations Necker cube The Necker cube is an optical illusion first published as a rhomboid in 1832 by Swiss crystallographer Louis Albert Necker. It is a simple wire-frame drawing of a cube