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dodecagon

File:Regular_polygon_12_annotated.svg · Wikimedia Commons · See Wikimedia Commons

EntityQ212074· pop 48· linked from 245 articles

Also known as 12-gon

In geometry, a dodecagon, or 12-gon, is any twelve-sided polygon.

~9 min read

Encyclopedic overview

15 sections
Contents
  • Regular dodecagon
  • Area
  • Perimeter
  • Dodecagon construction
  • Dissection
  • Symmetry
  • Occurrence
  • Tiling
  • Skew dodecagon
  • Petrie polygons
  • Related figures
  • Examples in use
  • See also
  • Notes
  • External links

In geometry, a dodecagon, or 12-gon, is any twelve-sided polygon.

==Regular dodecagon== thumb|upright=1.5|Three squares of sides R can be cut and rearranged into a dodecagon of circumscribed circle|circumradius R, yielding a that its area is 3R2 A regular dodecagon is a figure with sides of the same length and internal angles of the same size. It has twelve lines of reflective symmetry and rotational symmetry of order 12. A regular dodecagon is represented by the Schläfli symbol {12} and can be constructed as a truncated hexagon, t{6}, or a twice-truncated triangle, tt{3}. The internal angle at each vertex of a regular dodecagon is 150°.

Excerpted from Wikipedia’s “dodecagon” article, available under the CC BY-SA 4.0 licence.

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