Geometric shape

Geometric shape is a set of points on the plane R² closed with three or more sides[?], with one curve or with combinations of them (lines, arcs, circles, elliptical arcs[?], ellipses, hyperbolas, elliptic curves, ...).

Some geometric shapes are:

• polygon
  • bicentric polygon[?]
  • concave polygon[?]
  • constructible polygon[?]
  • convex polygon[?]
  • cyclic polygon
  • decagon[?]
  • dodecagon[?]
  • equiangular polygon[?]
  • equilateral polygon[?]
  • hendecagon[?]
  • hexagon
    • Lemoine hexagon[?]
    • Tucker hexagon[?]
  • icosagon[?]
    • swastika
  • octagon[?]
  • pentagon
    • cyclic pentagon[?]
  • regular polygon[?]
    • regular decagon[?]
    • regular dodecagon[?]
    • regular hendecagon[?]
    • regular hexagon[?]
    • regular icosagon[?]
    • regular octagon[?]
    • regular pentagon[?]
  • star figure[?]
    • star of Lakshmi[?]
  • star polygon[?]
    • decagram[?]
    • dodecagram[?]
    • octagram[?]
    • heptagram
    • star of David, hexagram[?]
    • star of Goliath[?], nonagram[?]
    • pentacle, pentagram
• triangle
  • acute triangle[?]
  • anticomplementary triangle[?]
  • equilateral triangle
  • excentral triangle[?], tritangent triangle[?]
  • isosceles triangle[?]
  • medial triangle[?], auxiliary triangle[?]
  • obtuse triangle[?]
  • rational triangle[?]
  • right triangle
    • 30-60-90 triangle[?]
    • isosceles right triangle[?]
  • scalene triangle[?]
• parallelogram
  • equilateral parallelogram[?]
    • Lozenge[?]
  • rhomboid[?]
  • Wittenbauer's parallelogram[?]
• Penrose tile[?]
  • Penrose dart[?]
  • Penrose kite[?]
• rectangle
• rhombus, diamond[?]
  • Harborth's tile[?]
• square
• trapezium
  • isosceles trapezium[?]
• quadrilateral
  • cyclic quadrilateral, tetrachord, chordal tetragon[?] ?
    • Brahmagupta's trapezium[?]
  • equilic quadrilateral[?]
  • kite
  • rational quadrilateral[?]
  • strombus[?]
  • tangential quadrilateral[?], tangential tetragon[?] ?
  • trapezoid
    • isosceles trapezoid[?]
• polydrafter[?]

• annulus[?]
• arbelos[?]
• circle
  • Archimedes' circle[?]
  • Bankoff circle[?]
  • circumcircle
  • excircle
  • incircle
  • nine point circle
• circular sector[?]
• circular segment[?]
• lune[?]
• Reuleaux polygon[?]
• rotor
  • lens[?], fish bladder[?], vesica piscis[?]
  • Reuleaux triangle[?]
• salinon[?]
• semicircle[?]
• triquetra[?]
• Yin-Yang[?]

• astroid[?], paracycle[?], cubocycloid[?]
• deltoid[?]
• ellipse
• smoothed octagon[?]
• super ellipse