Research any topic before you write.

Find related topics. | Discover entities. | See connections. | Build a topical map.

Rectification (geometry)

In Euclidean geometry, rectification, also known as critical truncation or complete-truncation, is the process of truncating a polytope by marking the midpoints of all its edges, and cutting off its vertices at those points. The resulting polytope will be bounded by vertex figure facets and the rectified facets of the original polytope.

Overview, In polyhedra and plane tilings & Degrees of rectification

Use the mouse wheel or two fingers (on touchscreens) to zoom in and out of the map.

Research this topic

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

Explore this topic

Start with a few of the strongest sections from the source topic. These are research directions, not a list of keywords you must use.

Overview

Euclidean geometryPolytopeEdgesVerticesVertex figure
24 related topics

In polyhedra and plane tilings

Platonic solidDualIcosahedronDodecahedronIcosidodecahedron
10 related topics

Degrees of rectification

RegularFacesPolyhedra
3 related topics

In 4-polytopes and 3D honeycomb tessellations

Convex regular 4-polytopeBitruncation
2 related topics

Topics to explore

Browse the full topic structure. Each item opens a new analysis centered on that subject.

Overview

Higher degree rectifications

In polyhedra and plane tilings

In 4-polytopes and 3D honeycomb tessellations

Degrees of rectification

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

Map overview Semantic statistics

Rectification (geometry)

Nodes46
Edges45
Triples0
Avg. degree1.96
Density0.043478
Components1

How this topic connects Entity context

See the strongest relationship patterns around the current topic before diving into the raw triples.

Important terminology Word statistics

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

rectification regular rectified polyhedron dual facets points original polytope polytopes represented uniform truncation also edges example cube truncates notation cuboctahedron

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc

Related concept clusters Concept neighborhoods

These clusters group vocabulary that occurs around closely connected concepts in the source material.

    Connections between topic areas Semantic bridges

    Bridges can reveal useful research angles that are easy to miss in a flat list of related terms.

    Min side: 3
    For writers, content strategists, SEOs, marketers and creators — from quick topic research to advanced semantic analysis.