Changes: Tetradecagon

Latest revision as of 17:03, 12 December 2017

A Tetradecagon is a 14-sided polygon with 14 angles.

$14-gon 37390 lg$

Petrie polygons

Regular skew tetradecagons exist as Petrie polygon for many higher-dimensional polytopes, shown in these skew orthogonal projections, including:

A₁₃	13-simplex
BC₇	7-orthoplex	Rectified 7-orthoplex	Birectified 7-orthoplex	Trirectified 7-cube	Birectified 7-cube	Rectified 7-cube	7-cube
BC₇	(4₂₁)	t₁(4₂₁)	t₂(4₂₁)	t₃(4₂₁)	(2₄₁)	t₁(2₄₁)	(1₄₂)
D₈	t₆(1₅₁)	t₅(1₅₁)	t₄(1₅₁)	t₃(1₅₁)	t₂(1₅₁)	t₁(1₅₁)	(1₅₁)

This article is a stub. You can help Math Wiki by expanding it.

@@ Line 1: / Line 1: @@
-A Tetradecagon is a 14-sided [[Polygon|polygon]]
+A '''Tetradecagon''' is a 14-sided [[polygon]] with 14 angles.
 [[File:14-gon_37390_lg.gif|250 px|right]]
+==Petrie polygons==
+[[Regular skew polygon|Regular skew]] tetradecagons exist as [[Petrie polygon]] for many higher-dimensional polytopes, shown in these skew [[orthogonal projection]]s, including:
+{| class=wikitable width=450
+|- align=center valign=center
+!valign=center|A<sub>13</sub>
+|[[File:13-simplex_t0.svg|100px]]<br>[[13-simplex]]
+|- align=center valign=center
+!valign=center|BC<sub>7</sub>
+|[[File:7-cube_t6.svg|100px]]<br>[[7-orthoplex]]
+|[[File:7-cube_t5.svg|100px]]<br>[[Rectified 7-orthoplex]]
+|[[File:7-cube_t4.svg|100px]]<br>[[Birectified 7-orthoplex]]
+|[[File:7-cube_t3.svg|100px]]<br>[[Trirectified 7-cube]]
+|[[File:7-cube_t2.svg|100px]]<br>[[Birectified 7-cube]]
+|[[File:7-cube_t1.svg|100px]]<br>[[Rectified 7-cube]]
+|[[File:7-cube_t0.svg|100px]]<br>[[7-cube]]
+|- align=center valign=top
+!valign=center|BC<sub>7</sub>
+|[[File:4 21 t0 B7.svg|100px]]<br>[[4 21 polytope|(4<sub>21</sub>)]]
+|[[File:4 21 t1 B7.svg|100px]]<br>[[4 21 polytope|t<sub>1</sub>(4<sub>21</sub>)]]
+|[[File:4 21 t2 B7.svg|100px]]<br>[[4 21 polytope|t<sub>2</sub>(4<sub>21</sub>)]]
+|[[File:4 21 t3 B7.svg|100px]]<br>[[4 21 polytope|t<sub>3</sub>(4<sub>21</sub>)]]
+<!--|[[File:4 21 t4 B7.svg|100px]]<br>[[4 21 polytope|t<sub>4</sub>(4<sub>21</sub>)]]-->
+|[[File:2 41 t0 B7.svg|100px]]<br>[[2 41 polytope|(2<sub>41</sub>)]]
+|[[File:2 41 t1 B7.svg|100px]]<br>[[2 41 polytope|t<sub>1</sub>(2<sub>41</sub>)]]
+|[[File:1 42 t0 B7.svg|100px]]<br>[[1 42 polytope|(1<sub>42</sub>)]]
+|- align=center valign=center
+!valign=center|D<sub>8</sub>
+|[[File:8-cube_t7_B7.svg|100px]]<br>[[8-orthoplex|t<sub>6</sub>(1<sub>51</sub>)]]
+|[[File:8-cube_t6_B7.svg|100px]]<br>[[Rectified 8-orthoplex|t<sub>5</sub>(1<sub>51</sub>)]]
+|[[File:8-cube_t5_B7.svg|100px]]<br>[[Birectified 8-orthoplex|t<sub>4</sub>(1<sub>51</sub>)]]
+|[[File:8-cube_t4_B7.svg|100px]]<br>[[Trirectified 8-orthoplex|t<sub>3</sub>(1<sub>51</sub>)]]
+|[[File:8-cube_t3_B7.svg|100px]]<br>[[Trirectified 8-cube|t<sub>2</sub>(1<sub>51</sub>)]]
+|[[File:8-demicube_t1_D8.svg|100px]]<br>[[Birectified 8-cube|t<sub>1</sub>(1<sub>51</sub>)]]
+|[[File:8-demicube_t0_D8.svg|100px]]<br>[[8-demicube|(1<sub>51</sub>)]]
+|}
@@ Line 8: / Line 43: @@
+{{Polygons}}
 {{stub}}
+[[Category:Geometry]]
+[[Category:Polygons]]