WebThe word polyhedron has slightly different meanings in geometry and algebraic geometry. In geometry, a polyhedron is simply a three-dimensional solid which consists of a collection of polygons, usually joined at their … WebA polyhedron is said to be convex if its surface (comprising its faces, edges and vertices) does not intersect itself and the line segment joining any two points of the polyhedron is contained in the interior or surface. A polyhedron is a 3-dimensional example of the more general polytope in any number of dimensions.

polyhedral - Wiktionary

WebYou can also see our other etymologies for the English word polyhedron.Currently you are viewing the etymology of polyhedron with the meaning: (Noun) (geometry) A solid figure with many flat faces and straight edges..(optics) A polyscope, or multiplying glass.(geometry) A solid figure with many flat faces and straight edges.. WebJun 15, 2024 · ἕδρᾱ • ( hédrā ) f ( genitive ἕδρᾱς ); first declension. seat, chair, stool, bench. seat, abode, throne. seat, place, base. (in the plural) quarters of the sky in which omens appeared. seat of a physiological process. back (of a horse on which a rider sits) the act of sitting. sitting still, inactivity, delay. russ wallace tamu

Polyhedron -- from Wolfram MathWorld

WebMay 28, 2011 · These values give us the solids (the tetrahedron), (the octahedron) and (the icosahedron). If , we only have , (the cube). If , then, we have only , (the dodecahedron). Now, cannot be greater than since it will not satisfy the inequality. Therefore, the only platonic solids are , , , and . Hence, there are only five platonic solids, and we are ... http://mathandmultimedia.com/2011/05/28/platonic-solids/ WebIn elementary geometry, a polyhedron is a solid in three dimensions with flat faces, straight edges and sharp corners or vertices. The word polyhedron comes from the Classical … russ warley