| rdfs:comment | - In 2376, Icheb created a 26-sided polyhedron out of clay, composed of hexagons, octagons, and squares. Seven of Nine was impressed by Icheb's work. (VOY: "Ashes to Ashes") The Kelvan Empire had technology capable of nearly instantaneously converting humanoids into much smaller polyhedra. (TOS: "By Any Other Name" )
- A polyhedron is a 3-dimensional shape made of points, line segments, flat faces, and a single cell. A polyhedron is an example of the more general polytope, in three dimensions.
- A polyhedron is any three-dimensional figure with flat surfaces that are polygons. Specifically, any geometric shape existing in three-dimensions and having flat faces, each existing in two-dimensions, which intersect at straight, linear edges. The edges themselves intersect at points called vertices. The entire polyhedron completely encompassing an enclosed region of internal space, bounded by the faces. For the game magazine, see Polyhedron (magazine). Mathematicians still do not agree as to exactly what makes something a polyhedron.
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| abstract | - In 2376, Icheb created a 26-sided polyhedron out of clay, composed of hexagons, octagons, and squares. Seven of Nine was impressed by Icheb's work. (VOY: "Ashes to Ashes") The Kelvan Empire had technology capable of nearly instantaneously converting humanoids into much smaller polyhedra. (TOS: "By Any Other Name" )
- A polyhedron is a 3-dimensional shape made of points, line segments, flat faces, and a single cell. A polyhedron is an example of the more general polytope, in three dimensions.
- A polyhedron is any three-dimensional figure with flat surfaces that are polygons. Specifically, any geometric shape existing in three-dimensions and having flat faces, each existing in two-dimensions, which intersect at straight, linear edges. The edges themselves intersect at points called vertices. The entire polyhedron completely encompassing an enclosed region of internal space, bounded by the faces. For the game magazine, see Polyhedron (magazine). A polyhedron (plural polyhedra or polyhedrons) is often defined as a geometric object with flat faces and straight edges (the word polyhedron comes from the Classical Greek πολύεδρον, from poly-, stem of πολύς, "many," + -edron, form of εδρον, "base", "seat", or "face"). This definition of a polyhedron is not very precise, and to a modern mathematician is quite unsatisfactory. Grünbaum (1994, p.43) observed that: Mathematicians still do not agree as to exactly what makes something a polyhedron.
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