circumscribed sphere
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Circumscribed sphere — In geometry, a circumscribed sphere of a polyhedron is a sphere that contains the polyhedron and touches each of the polyhedron s vertices. The word circumsphere is sometimes used to mean the same thing. When it exists, a circumscribed sphere… … Wikipedia
Circumscribed circle — Circumscribed circle, C, and circumcenter, O, of a cyclic polygon, P In geometry, the circumscribed circle or circumcircle of a polygon is a circle which passes through all the vertices of the polygon. The center of this circle is called the… … Wikipedia
Sphere — Globose redirects here. See also Globose nucleus. A sphere (from Greek σφαίρα sphaira , globe, ball, [ [http://www.perseus.tufts.edu/cgi bin/ptext?doc=Perseus%3Atext%3A1999.04.0057%3Aentry%3D%23101561 Sphaira, Henry George Liddell, Robert Scott,… … Wikipedia
Inscribed sphere — In geometry, the inscribed sphere or insphere of a convex polyhedron is a sphere that is contained within the polyhedron and tangent to each of the polyhedron s faces. It is the largest sphere that is contained wholly within the polyhedron, and… … Wikipedia
N-sphere — can project a sphere s surface to a plane, it can also project a 3 sphere s surface into 3 space. This image shows three coordinate directions projected to 3 space:parallels (red), meridians (blue) and hypermeridians (green).Due to the conformal… … Wikipedia
On the Sphere and Cylinder — is a work that was published by Archimedes in two volumes c. 225 BC.[1] It most notably details how to find the surface area of a sphere and the volume of the contained ball and the analogous values for a cylinder, and was the first to do so.[2]… … Wikipedia
Platonic solid — In geometry, a Platonic solid is a convex polyhedron that is regular, in the sense of a regular polygon. Specifically, the faces of a Platonic solid are congruent regular polygons, with the same number of faces meeting at each vertex; thus, all… … Wikipedia
Midsphere — A polyhedron and its midsphere. The red circles are the boundaries of spherical caps within which the surface of the sphere can be seen from each vertex. In geometry, the midsphere or intersphere of a polyhedron is a sphere which is tangent to… … Wikipedia
Radius — For other uses, see Radius (disambiguation). Circle illustration In classical geometry, a radius of a circle or sphere is any line segment from its center to its perimeter. By extension, the radius of a circle or sphere is the length of any such… … Wikipedia
Waterman polyhedron — Waterman polyhedra were invented, around 1990, by Steve Waterman.The Waterman polyhedra are created by packing spheres according cubic close(st) packing (CCP) and sweep away spheres that are farther from the center than a defined radius, the… … Wikipedia
Solide de Platon — En géométrie euclidienne, un solide de Platon est un polyèdre régulier et convexe. Entre les polygones réguliers et convexes de la géométrie plane, et les polyèdres réguliers convexes de l’espace à trois dimensions, il y a une analogie, mais… … Wikipédia en Français
