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Rhombus

In geometry, a rhombus (pl.: rhombi or rhombuses) is an equilateral quadrilateral, a quadrilateral whose four sides all have the same length. Other names for rhombus include diamond, lozenge, and calisson.

Characters, Other properties & Etymology

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

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Key facts & relationships

High-confidence facts extracted from structured source data. Use them as anchors for further research.

Area
K = p ⋅ q 2 {\displaystyle K={\frac {p\cdot q}{2}}} (half the product of the diagonals)
Dual polygon
rectangle
Edges and vertices
4
Properties
convex, isotoxal
Schläfli symbol
{ } + { } {2α}
Symmetry group
Dihedral (D2), , (*22), order 4

Topics to explore

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Overview

Etymology

Characterizations

Basic properties

Diagonals

Inradius

Area

Dual properties

Cartesian equation

Other properties

Advanced semantic analysis

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Map overview Semantic statistics

Rhombus

Nodes94
Edges93
Triples58
Avg. degree1.98
Density0.021277
Components1

How this topic connects Entity context

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Rhombus

Top relations

related to Characterizations · 9
Rhombus → ABC, ABCD, ABP, BCD, BCP, CDA, CDP, DAB, DAP
is a · 7
Rhombus → cross section of a bicone.The name diamond comes from the shape of an octahedral diamond gemstone, kite, orthodiagonal quadrilateral.Its diagonals bisect opposite angles.The first property implies that every rhombus is a parallelogram, product of its base and its height, rectangle, simple polygon, special case of a parallelogram and a kite
related to Basic properties · 6
Rhombus → Every, It, Its, Opposite, The, Using
related to Etymology · 6
Rhombus → Archimedes, Euclid, French, Greek, In, The
related to External links · 6
Rhombus → Animated, Area, Circumference, Construction, Math Open Reference, Parallelogram
see also · 5
Rhombus → ChessFlag, Colombia, Department, Michaelis, North Santander
related to Diagonals · 3
Rhombus → AC, BD, The
related to Other properties · 3
Rhombus → One, Rhombi, Three-dimensional
related to Area · 2
Rhombus → As, The
related to Cartesian equation · 2
Rhombus → The, This

Important terminology Word statistics

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Important terminology

diagonals angles faces parallelogram rhombic sides rectangle area quadrilateral rhombi two polyhedron opposite angle vertex length kite one four every

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
RhombusAreaK = p ⋅ q 2 {\displaystyle K={\frac {p\cdot q}{2}}} (half the product of the diagonals)1.00infobox
RhombusDual polygonrectangle1.00infobox
RhombusEdges and vertices41.00infobox
RhombusPropertiesconvex, isotoxal1.00infobox
RhombusSchläfli symbol{ } + { } {2α}1.00infobox
RhombusSymmetry groupDihedral (D2), , (*22), order 41.00infobox
RhombusTypequadrilateral, trapezoid, parallelogram, kite1.00infobox
Rhombusis asimple polygon0.90text
Rhombusis aspecial case of a parallelogram and a kite0.90text
Rhombusis across section of a bicone.The name diamond comes from the shape of an octahedral diamond gemstone0.90text
Rhombusis aorthodiagonal quadrilateral.Its diagonals bisect opposite angles.The first property implies that every rhombus is a parallelogram0.90text
Rhombusis akite0.90text
Rhombusis aproduct of its base and its height0.90text
Rhombusis arectangle0.90text

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