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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 is dual to the dual polyhedron's circumsphere.

Interpretations & Overview

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Explore the main themes, entities and connections around Inscribed sphere. Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Interpretations

Regular polyhedra Small stellated dodecahedron Archimedean polyhedra Catalan

4 related topics

Overview

Geometry Convex polyhedron Sphere Tangent Dual

7 related topics

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Overview

Interpretations

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Map overview Semantic statistics

Inscribed sphere

Nodes14

Edges13

Triples4

Avg. degree1.86

Density0.142857

Components1

How this topic connects Entity context

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Inscribed sphere

Top relations

related to Interpretations · 3

Inscribed sphere → All, For, The

Important terminology Word statistics

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Important terminology

sphere polyhedron tangent insphere faces inscribed contained regular polyhedra largest within polyhedron's dual one exists interpretations geometry circumsphere spheres still

Entity relationships Subject–Predicate–Object triples

Subject	Predicate	Object	Confidence	Src
Coxeter or Cundy	instance of	Important authorities	0.80	text
Inscribed sphere	related to Interpretations	All	0.60	section
Inscribed sphere	related to Interpretations	For	0.60	section
Inscribed sphere	related to Interpretations	The	0.60	section

Related concept clusters Concept neighborhoods

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Connections between topic areas Semantic bridges

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Min side: 3

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