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Truncation (geometry)

In geometry, a truncation is an operation in any dimension that cuts polytope vertices, creating a new facet in place of each vertex. The term originates from Kepler's names for the Archimedean solids.

Uniform truncation, Uniform truncation in regular polyhedra and tilings and higher & Truncation of polygons

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Topic orientation

Truncation (geometry) at a glance

The strongest research directions include Uniform truncation and Uniform truncation in regular polyhedra and tilings and higher. Use the connected concepts below as starting points, not as a keyword checklist.

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Explore the main themes, entities and connections around Truncation (geometry). Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Uniform truncation

12 related topics

Uniform truncation in regular polyhedra and tilings and higher

12 related topics

Truncation of polygons

10 related topics

Alternation or partial truncation

8 related topics

Topics to explore

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Overview

Uniform truncation

Truncation of polygons

Uniform truncation in regular polyhedra and tilings and higher

Edge-truncation

Alternation or partial truncation

Generalized truncations

Advanced semantic analysis

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How this topic connects Entity context

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Truncation (geometry)

Top relations

see also · 6
Truncation (geometry) → Alternation, Bitruncation, Cantellation, Chamfer, Conway, RuncinationTruncated

Important terminology Word statistics

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Important terminology

truncation edges truncated uniform regular original faces vertices cube example polyhedra polytope polytopes polyhedron alternation polygon rectification dual cuts another

Entity relationships Subject–Predicate–Object triples

Extracted RDF-like relationships with confidence and source. The table includes structured facts and lower-confidence contextual relations.
SubjectPredicateObjectConfidenceSrc
Truncation (geometry)see alsoAlternation0.60section
Truncation (geometry)see alsoBitruncation0.60section
Truncation (geometry)see alsoCantellation0.60section
Truncation (geometry)see alsoChamfer0.60section
Truncation (geometry)see alsoConway0.60section
Truncation (geometry)see alsoRuncinationTruncated0.60section

Related concept clusters Concept neighborhoods

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    Connections between topic areas Semantic bridges

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    Map overview Semantic statistics

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    Truncation (geometry)

    Nodes66
    Edges65
    Triples6
    Avg. degree1.97
    Density0.030303
    Components1
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