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
 * Heronian triangle
 * Pythagorean triangle
 * Isosceles heronian 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

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