Geometric shapes

From Wikinfo

A 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

References

• Adapted from the Wikipedia article, "Geometric shape" http://www.wikipedia.org/wiki/Geometric_shape July 31, 2003