Kantenkugel
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thumb|A polyhedron and its midsphere. A viewer situated at a polyhedron vertex would see the red circle surrounding that vertex as the horizon on the sphere.|alt=An opaque white polyhedron with four triangular faces and four quadrilateral faces is crossed by a transparent blue sphere of approximately the same size, tangent to each edge of the polyhedron. The visible portions of the sphere, outside the polyhedron, form circular caps on each face of the polyhedron, of two sizes: smaller in the triangular faces, and larger in the quadrilateral faces. Red circles on the surface of the sphere, pass
Wikidata facts
- Subclass of
- sphere
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- studied by
- solid geometry
- maintained by WikiProject
- WikiProject Mathematics
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via Wikidata · CC0
Article · Deutsch
Die Kantenkugel ist eine Kugel, die alle Kanten des gegebenen Polyeders berührt. In der Raumgeometrie ist sie neben der Inkugel die Entsprechung zum Inkreis eines Polygons in der ebenen Geometrie. Der Mittelpunkt einer Kantenkugel muss von allen Kanten gleichen Abstand haben. Nur spezielle Polyeder haben eine Kantenkugel, darunter unter anderem die fünf platonischen Körper, die Archimedischen Körper, uniforme Prismen und uniforme Antiprismen.
Abstract from DBpedia / Wikipedia · CC BY-SA