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Parallelepiped: Parallelotope, Properties & Overview

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.

Language: English [EN]
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Parallelepiped topic overview

The analysis highlights Parallelotope, Properties and Overview as prominent areas in the source structure around Parallelepiped.

Related topics
50
Source areas
7
Connected nodes
57
Extracted relationships
51
Concept neighborhoods
21
Bridge connections
57

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

Overview · 16 topics
Parallelotope · 10 topics
Properties · 7 topics
Etymology · 6 topics
Volume · 6 topics
Perfect parallelepiped · 3 topics
Special cases by symmetry · 2 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. 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.

How Parallelepiped connects Entity context

The extracted context around Parallelepiped shows recurring relationship patterns in the source. For example, Parallelepiped → C2h, D2h, D3d, D4h, For, Oblique, Oh, Rectangular, Right, The Another extracted example is Parallelepiped → Ancient Greek, Euclid's Elements, Henry Billingsley, In, In English, Pierre Hérigone's Cursus, The, Thus, Walter Charleton's Chorea. Use these groups to spot repeated connection types before inspecting the individual relationships.

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

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

Parallelepiped relationships Subject–Predicate–Object triples

TTTA extracted 51 structured relationships around Parallelepiped. Examples in this analysis include Parallelepiped → is a → three-dimensional figure formed by six parallelograms and Parallelepiped → is a → zonohedron. The table shows each extracted connection, where it came from and its confidence.

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

The concept neighborhoods around Parallelepiped bring nearby vocabulary together. In this analysis, examples include Faces, Six and Symmetry. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • Parallelepiped
    • Faces
    • Six
    • Symmetry
    • Parallel
    • Also
    • Congruent
    • See
    • Base
    • Cuboid
    • Parallelogram
    • Three
    • Called
  • parallelepiped
    • Faces
    • Six
    • Symmetry
    • Parallel
    • Also
    • Congruent
    • See
    • Base
    • Cuboid
    • Parallelogram
    • Three
    • Called
  • volume
    • Displaystyle
    • Left
    • Right
    • Mathbf
    • See
    • Cdot
    • Gamma
    • Base
    • Equal
    • Three
    • Edges
    • One
  • special cases by symmetry
    • Congruent
    • Parallelepipeds
    • Known
    • Prism
    • Rhombic
    • Symmetry
    • Cube
    • Four
    • Rectangular
    • Cuboid
    • See
    • Two
  • perfect parallelepiped
    • Faces
    • Six
    • Known
    • Symmetry
    • Parallel
    • Parallelepipeds
    • Also
    • Congruent
    • See
    • Rectangular
    • Base
    • Cuboid
  • congruent
    • Symmetry
    • Known
    • Rhombic
    • Four
    • Six
    • Two
    • Faces
    • Rectangular
    • Square
    • Right
    • Cuboid
    • Called
  • perfect cuboid
    • Rectangular
    • Six
    • Faces
    • Square
    • Cases
    • Known
    • Called
    • Congruent
    • Four
    • Parallelepipeds
    • Two
    • Symmetry
  • point symmetry
    • Congruent
    • Known
    • Rhombic
    • Four
    • See
    • Two
    • Right
    • Square
    • Called
    • Parallelepipeds
    • Times
    • Cdot

Connections between topic areas Semantic bridges

For Parallelepiped, one of the stronger structural bridges in this analysis connects Parallelepiped with Overview. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
ParallelepipedOverview · splits 41 ⟂ 17
ParallelepipedParallelotope · splits 47 ⟂ 11
ParallelepipedProperties · splits 50 ⟂ 8
ParallelepipedVolume · splits 51 ⟂ 7
ParallelepipedEtymology · splits 51 ⟂ 7
ParallelepipedPerfect parallelepiped · splits 54 ⟂ 4
ParallelepipedSpecial cases by symmetry · splits 55 ⟂ 3

Map overview Semantic statistics

Parallelepiped

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

Source & methodology

TTTA analyzes the structure around Parallelepiped to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Parallelotope, Properties & Overview, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Parallelepiped · EN edition · Analysis: TopicsToTalkAbout

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