Research any topic before you write.

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

Parallelepiped

In geometry, a parallelepiped is a three-dimensional figure formed by six parallelograms (the term rhomboid is also sometimes used with this meaning). By analogy, it relates to a parallelogram just as a cube relates to a square.

Parallelotope, Properties & Overview

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 Parallelepiped. 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.

Topics to explore

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

Overview

Properties

Volume

Special cases by symmetry

Perfect parallelepiped

Parallelotope

Etymology

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

Parallelepiped

Nodes58
Edges57
Triples51
Avg. degree1.97
Density0.034483
Components1

How this topic connects Entity context

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

Parallelepiped

Top relations

related to Special cases by symmetry · 10
Parallelepiped → C2h, D2h, D3d, D4h, For, Oblique, Oh, Rectangular, Right, The
related to Etymology · 9
Parallelepiped → Ancient Greek, Euclid's Elements, Henry Billingsley, In, In English, Pierre Hérigone's Cursus, The, Thus, Walter Charleton's Chorea
is a · 7
Parallelepiped → 3-parallelotope.The diagonals of an n-parallelotope intersect at one point and are bisected by this point, parallelepiped with integer-length edges, prism with a parallelogram as base, product of the base area B, sum of the areas of the bounding parallelograms, three-dimensional figure formed by six parallelograms, zonohedron
related to External links · 5
Parallelepiped → Eric, MathWorld, Paper, Parallelotope, Weisstein
related to Perfect parallelepiped · 5
Parallelepiped → But, In, One, Richard Guy, Some
related to References · 5
Parallelepiped → Coxeter, Dover, He, New York, Regular Polytopes
related to Parallelotope · 4
Parallelepiped → Coxeter, In, Specifically, Thus
related to Properties · 2
Parallelepiped → Any, Parallelepipeds
related to Surface area · 2
Parallelepiped → For, The
related to Volume · 2
Parallelepiped → Hence, With

Important terminology Word statistics

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

Important terminology

faces displaystyle prism right also rectangular six volume symmetry parallelotope parallel parallelogram mathbf congruent see cube left two parallelepipeds cases

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Parallelepipedis athree-dimensional figure formed by six parallelograms0.90text
Parallelepipedis azonohedron0.90text
Parallelepipedis aprism with a parallelogram as base0.90text
Parallelepipedis aproduct of the base area B0.90text
Parallelepipedis asum of the areas of the bounding parallelograms0.90text
Parallelepipedis aparallelepiped with integer-length edges0.90text
Parallelepipedis a3-parallelotope.The diagonals of an n-parallelotope intersect at one point and are bisected by this point0.90text
Parallelepipedrelated to EtymologyThe0.60section
Parallelepipedrelated to EtymologyAncient Greek0.60section
Parallelepipedrelated to EtymologyThus0.60section
Parallelepipedrelated to EtymologyIn English0.60section
Parallelepipedrelated to EtymologyEuclid's Elements0.60section

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.