This is a list of two-dimensional geometric shapes in Euclidean and other geometries. For mathematical objects in more dimensions, see list of mathematical shapes. For a broader scope, see list of shapes.

Generally composed of straight line segments

  • Angle
  • Balbis
  • Concave polygon
  • Constructible polygon
  • Convex polygon
  • Cyclic polygon
  • Equiangular polygon
  • Equilateral polygon
  • Penrose tile
  • Polyform
  • Regular polygon
  • Simple polygon
  • Tangential polygon

Polygons with specific numbers of sides

  • Monogon - 1 side
  • Digon/Bigon - 2 sides
  • Triangle – 3 sides
  • Acute triangle
  • Equilateral triangle
  • Heptagonal triangle
  • Isosceles triangle
  • Golden Triangle
  • Obtuse triangle
  • Rational triangle
  • Heronian triangle
  • Pythagorean triangle
  • Isosceles heronian triangle
  • Primitive Heronian triangle
  • Right triangle
  • 30-60-90 triangle
  • Isosceles right triangle
  • Kepler triangle
  • Scalene triangle
  • Quadrilateral – 4 sides
  • Cyclic quadrilateral
  • Kite
  • Rectangle
  • Rhomboid
  • Rhombus
  • Square (regular quadrilateral)
  • Tangential quadrilateral
  • Trapezoid
  • Isosceles trapezoid
  • Pentagon – 5 sides
  • Hexagon – 6 sides
  • Lemoine hexagon
  • Heptagon/Septagon – 7 sides
  • Octagon – 8 sides
  • Nonagon/Enneagon – 9 sides
  • Decagon – 10 sides
  • Hendecagon – 11 sides
  • Dodecagon – 12 sides
  • Tridecagon – 13 sides
  • Tetradecagon – 14 sides
  • Pentadecagon – 15 sides
  • Hexadecagon – 16 sides
  • Heptadecagon – 17 sides
  • Octadecagon – 18 sides
  • – 19 sides
  • Icosagon – 20 sides
  • Icosikaihenagon - 21 sides
  • Icosikaidigon - 22 sides
  • Icositrigon - 23 sides
  • Icositetragon - 24 sides
  • Icosikaipentagon - 25 sides
  • Icosikaihexagon - 26 sides
  • Icosikaiheptagon - 27 sides
  • Icosikaioctagon - 28 sides
  • Icosikaienneagon - 29 sides
  • Triacontagon - 30 sides
  • Tetracontagon - 40 sides
  • Tetracontakaienneagon 49 sides
  • Pentacontagon - 50 sides
  • Hexacontagon - 60 sides
  • Heptacontagon - 70 sides
  • Heptacontapentagon - 75 sides
  • Octacontagon - 80 sides
  • Enneacontagon - 90 sides
  • Hectogon - 100 sides
  • Dihectogon - 200 sides
  • Trihectogon - 300 sides
  • Tetrahectogon - 400 sides
  • Pentahectogon - 500 sides
  • Hexahectogon - 600 sides
  • Heptahectogon - 700 sides
  • Octahectogon - 800 sides
  • Enneahectogon - 900 sides
  • Chiliagon - 1,000 sides
  • Dischiliagon - 2,000 sides
  • Trischiliagon - 3,000 sides
  • Nonanonacontanonactanonaliagon - 9,999 sides
  • Myriagon - 10,000 sides
  • Megagon - 1,000,000 sides
  • Cross - 12 sides
  • Star polygon – there are multiple types of stars
  • Pentagram - star polygon with 5 sides
  • Hexagram – star polygon with 6 sides
  • Star of David (example)
  • Heptagram – star polygon with 7 sides
  • Octagram – star polygon with 8 sides
  • Star of Lakshmi (example)
  • Enneagram - star polygon with 9 sides
  • Decagram - star polygon with 10 sides
  • Hendecagram - star polygon with 11 sides
  • Dodecagram - star polygon with 12 sides
  • Apeirogon - generalized polygon with countably infinite set of sides

Curved

Composed of circular arcs

  • Annulus
  • Arbelos
  • Circle
  • Archimedes' twin circles
  • Bankoff circle
  • Circular triangle
  • Reuleaux triangle
  • Circumcircle
  • Disc
  • Incircle and excircles of a triangle
  • Nine-point circle
  • Circular sector
  • Circular segment
  • Crescent
  • Heart
  • Lens, vesica piscis (fish bladder)
  • Lune
  • Quatrefoil
  • Reuleaux polygon
  • Reuleaux triangle
  • Salinon
  • Semicircle
  • Stadium
  • Tomahawk
  • Trefoil
  • Triquetra

Not composed of circular arcs

  • Archimedean spiral
  • Astroid
  • Cardioid
  • Deltoid
  • Ellipse
  • Various lemniscates
  • Oval
  • Cartesian oval
  • Cassini oval
  • Oval of Booth
  • Superellipse
  • Taijitu
  • Tomoe
  • Magatama

See also

  • List of triangle topics
  • List of circle topics
  • Glossary of shapes with metaphorical names

References

ar:قائمة الأشكال الهندسية

it:Elenco strutturato di forme geometriche

sv:Geometrisk figur