List of two-dimensional geometric shapes

List of two-dimensional geometric shapes
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
Henagon – 1 side
Digon – 2 sides
Triangle – 3 sides
Acute triangle
Equilateral triangle
Heptagonal triangle
Isosceles triangle
Golden Triangle
Obtuse triangle
Rational triangle
Right triangle
30-60-90 triangle
Isosceles right triangle
Kepler triangle
Scalene triangle
Quadrilateral – 4 sides
Cyclic quadrilateral
Kite
Parallelogram
Rhombus (equilateral parallelogram)
Lozenge
Rhomboid
Rectangle
Square (regular quadrilateral)
Tangential quadrilateral
Trapezoid
Isosceles trapezoid
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
Enneadecagon – 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
Pentacontagon - 50 sides
Hexacontagon - 60 sides
Heptacontagon - 70 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
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
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
Tomahawk
Trefoil
Triquetra
Heart
Not composed of circular arcs
Archimedean spiral
Astroid
Cardioid
Deltoid
Ellipse
Heartagon
Various lemniscates
Oval
Cartesian oval
Cassini oval
Oval of Booth
Ovoid – similar to an oval
Superellipse
Taijitu
Tomoe
Magatama
See also
List of triangle topics
List of circle topics
Glossary of shapes with metaphorical names
References
2
two-dimensional
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