Tetradecagon facts for kids
Quick facts for kids Regular tetradecagon |
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A regular tetradecagon
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| Type | Regular polygon |
| Edges and vertices | 14 |
| Schläfli symbol | {14}, t{7} |
| Coxeter diagram |     |
| Symmetry group | Dihedral (D14), order 2×14 |
| Internal angle (degrees) | ≈154.2857° |
| Dual polygon | Self |
| Properties | Convex, cyclic, equilateral, isogonal, isotoxal |
A tetradecagon or 14-gon is a shape with 14 sides and 14 corners.
Regular tetradecagon
A regular tetradecagon has Schläfli symbol {14} and can be constructed as a quasiregular truncated heptagon, t{7}, which alternates two types of edges.
Area
The amount of space a regular tetradecagon takes up is
The area of a regular tetradecagon of side length a is given by
a is the length of one of its sides.
Dissection
Coxeter states that every parallel-sided 2m-gon can be divided into m(m-1)/2 rhombs. For the regular tetradecagon, m=7, and it can be divided into 21: 3 sets of 7 rhombs. This decomposition is based on a Petrie polygon projection of a 7-cube, with 21 of 672 faces. The list A006245 defines the number of solutions as 24698, including up to 14-fold rotations and chiral forms in reflection.
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Numismatic use
The regular tetradecagon is used as the shape of some commemorative gold and silver Malaysian coins, the number of sides representing the 14 states of the Malaysian Federation.
- Eric W. Weisstein, Tetradecagon at MathWorld.
Images for kids
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Regular tetradecagon, approximation construction as an animation (3 min 16 s), pause at the end of 25 s
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Symmetries of a regular tetradecagon. Vertices are colored by their symmetry positions. Blue mirrors are drawn through vertices, and purple mirrors are drawn through edge. Gyration orders are given in the center.
See also
In Spanish: Tetradecágono para niños
