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List of two-dimensional geometric shapes

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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

Main article: Polygon

  • 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

  • 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
    • Scalene triangle
  • Quadrilateral – 4 sides
    • Cyclic quadrilateral
    • Kite
      • Rectangle
      • Rhomboid
      • Rhombus
      • Square (regular quadrilateral)
    • Tangential quadrilateral
    • Trapezoid
      • Isosceles trapezoid
    • Trapezus
  • Pentagon – 5 sides
  • Hexagon – 6 sides
    • Lemoine hexagon
  • Heptagon – 7 sides
  • Octagon – 8 sides
  • Nonagon – 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
  • Myriagon - 10,000 sides
  • Megagon - 1,000,000 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

Main article: List of curves

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
  • 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

References

ar:قائمة الأشكال الهندسية it:Elenco strutturato di forme geometriche sv:Geometrisk figur

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