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Midsphere

In geometry, the midsphere or intersphere of a convex polyhedron is a sphere which is tangent to every edge of the polyhedron. Not every polyhedron has a midsphere, but the uniform polyhedra, including the regular, quasiregular and semiregular polyhedra and their duals (Catalan solids) all have midspheres. The radius of the midsphere is called the…

Canonical polyhedron, Definition and examples & Properties

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Overview

Definition and examples

Properties

Canonical polyhedron

Advanced semantic analysis

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Map overview Semantic statistics

Midsphere

Nodes62
Edges61
Triples44
Avg. degree1.97
Density0.032258
Components1

How this topic connects Entity context

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Midsphere

Top relations

related to Canonical polyhedron · 10
Midsphere → Although, Any, Equivalently, Euclidean, For, It, Möbius, One, The, This
related to Definition and examples · 10
Midsphere → Cartesian, Equivalently, For, More, Not, Platonic, That, Therefore, This, When
related to Edge lengths · 6
Midsphere → As, Crelle's, For, The, These, Three
related to Tangent circles · 6
Midsphere → Dually, If, Not, That, The, Thus
has application · 5
Midsphere → For, It, The, Then, This
related to Caging an egg · 4
Midsphere → Given, Moreover, The, This
related to Duality · 2
Midsphere → If, The
is a · 1
Midsphere → unit sphere

Important terminology Word statistics

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Important terminology

polyhedron edge canonical tangent sphere points edges circle every two circles vertices form one convex combinatorially equivalent polar face polyhedra

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Midsphereis aunit sphere0.90text
Midspherehas applicationThe0.60section
Midspherehas applicationIt0.60section
Midspherehas applicationFor0.60section
Midspherehas applicationThis0.60section
Midspherehas applicationThen0.60section
Midsphererelated to Caging an eggThe0.60section
Midsphererelated to Caging an eggGiven0.60section
Midsphererelated to Caging an eggThis0.60section
Midsphererelated to Caging an eggMoreover0.60section
Midsphererelated to Canonical polyhedronOne0.60section
Midsphererelated to Canonical polyhedronEquivalently0.60section

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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