List of two-dimensional geometric 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
• *** Lozenge
• ** Rhomboid
• ** Rectangle
• ** Square
• * 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
• * Swastika
• Star polygon – there are multiple types of stars
• * Pentagram - star polygon with 5 sides
• * Hexagram – star polygon with 6 sides
• ** Star of David
• * Heptagram – star polygon with 7 sides
• * Octagram – star polygon with 8 sides
• ** Star of Lakshmi
• * Decagram - star polygon with 10 sides
• Apeirogon - generalized polygon with countably infinite set of sides

  Curved

Composed of circular arcs

• Annulus
• Arbelos
• Circle
• * Archimedes' twin circles
• * Bankoff circle
• * Circumcircle
• * Disc
• * Incircle and excircles of a triangle
• * Nine-point circle
• Circular sector
• Circular segment
• Crescent
• Lens, vesica piscis
• 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