Nondeterministic finite automaton - Revision history

en>Jochen Burghardt: /* Closure properties */ emphasize use of eps.-trns. / nondet. e.g. for union automaton construction

2014-11-26T10:14:13Z

Closure properties: emphasize use of eps.-trns. / nondet. e.g. for union automaton construction

← Older revision		Revision as of 12:14, 26 November 2014
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	In ~~[[geometry]], a '''tridecagon''' (or '''triskaidecagon''') is a [[polygon]] with 13 sides and angles.~~

	~~==Regular tridecagon==~~
	~~The measure of each internal angle~~ of a ~~[[Regular polygon\|regular]] tridecagon is approximately 152.308 [[degree (angle)\|degree]]s~~, ~~and~~ the ~~area with side length ''a'' is given by~~
	~~:<math>A = \frac{13}{4}a^2 \cot \frac{\pi}{13} \simeq 13~~.~~1858\,~~a^2.~~</math>~~

	~~===Numismatic use===~~
	~~The regular tridecagon is used~~ as the ~~shape of~~ the ~~[[Coins~~ of ~~the Czech koruna\|Czech 20 korun coin]]~~.<~~ref~~>~~Colin R~~. ~~Bruce, II~~, ~~George Cuhaj, and Thomas Michael, ''2007 Standard Catalog~~ of ~~World Coins'', Krause Publications, 2006, ISBN 0896894290, p. 81.</ref>~~

	~~==Related polygons==~~
	~~A tridecagram is a 13-sided [~~[~~star polygon]]. There are 5 regular forms given by [[Schläfli symbol]]s~~: ~~{13/2}, {13/3}, {13/4}, {13~~/~~5}, {13~~/6}.
	~~:[[Image:Triskaidecagrams~~.~~svg\|360px]]~~

	==~~Construction~~==
	~~A regular tridecagon is not [[constructible polygon\|constructible]~~] with ~~[[compass~~ and ~~straightedge]]~~. ~~However~~, it is ~~constructible using a [[Neusis construction]]~~.~~<ref>{{citation~~
	~~\| last = Gleason \| first = Andrew M~~. ~~\| authorlink = Andrew Gleason~~
	~~\| doi = 10~~.~~2307/2323624~~
	~~\| issue = 3~~
	~~\| journal = [[American Mathematical Monthly]]~~
	~~\| mr = 935432~~
	~~\| pages = 185–194~~
	~~\| title = Angle trisection,~~ the ~~heptagon~~, ~~and the triskaidecagon~~
	~~\| volume = 95~~
	~~\| year = 1988}}~~.<~~/ref~~>

	~~===Petrie polygons===~~
	The ~~regular tridecagon is~~ the ~~[[Petrie polygon]] for a number~~ of ~~higher dimensional polytope, projected in a skew [[orthogonal projection]], including from the A~~<~~sub~~>12<~~/sub~~>, ~~[[12~~-~~simplex]] family:~~

	~~{\| class=wikitable width=750~~
	\|- ~~align=center~~
	~~!A<sub>12</sub>~~
	~~\|[[File:~~12-~~simplex t0~~.~~svg\|125px]]~~<br>~~[[12-simplex]]~~
	~~\|[[File:12-simplex t1.svg\|125px]]~~<br>~~[[Rectified 12~~-~~simplex]]~~
	~~\|[[File:12-simplex t2~~.~~svg\|125px]]~~<br>~~[[Birectified 12-simplex]]~~
	~~\|[[File:12-simplex t3.svg\|125px]]~~<br>[~~[trirectified 12-simplex]]~~
	~~\|[[File~~:~~12-simplex t4~~.~~svg\|125px]~~]~~<br>~~[~~[quadrirectified 12-simplex]]~~
	~~\|[[File~~:~~12-simplex t5~~.~~svg\|125px]]<br>[[quintirectified 12-simplex]]~~
	\|}

	~~==References==~~
	~~{{reflist}}~~

	~~==External links=~~=
	*{{MathWorld \|title=Tridecagon \|urlname=Tridecagon}}

	~~{{Polygons}}~~
	~~[[Category:Polygons~~]]

	~~{{Elementary-geometry-stub}}~~

en>Monkbot: Fix CS1 deprecated date parameter errors

2014-01-27T17:29:06Z

Fix CS1 deprecated date parameter errors

← Older revision		Revision as of 19:29, 27 January 2014
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	~~Hello from Switzerland~~. I'~~m glad to came here~~. ~~My first name~~ is ~~Sebastian~~. <br>~~I live in~~ a ~~town called Gottschalkenberg in south Switzerland~~.<br>~~I was also born in Gottschalkenberg 25 years ago~~. ~~Married~~ in ~~December 2009~~. ~~I'm working at the post office~~.<br><br>~~Feel free to surf to my site~~: [~~http~~:~~//i~~-~~showad~~.~~com/xe/index~~.~~php?document_srl~~=~~1382958&mid~~=~~join Bookbyte Discount Coupons~~]		{{Odd polygon db\|Odd polygon stat table\|p13}}
			In [[geometry]], a '''tridecagon''' (or '''triskaidecagon''') is a [[polygon]] with 13 sides and angles.

			==Regular tridecagon==
			The measure of each internal angle of a [[Regular polygon\|regular]] tridecagon is approximately 152.308 [[degree (angle)\|degree]]s, and the area with side length ''a'' is given by
			:<math>A = \frac{13}{4}a^2 \cot \frac{\pi}{13} \simeq 13.1858\,a^2.</math>

			===Numismatic use===
			The regular tridecagon is used as the shape of the [[Coins of the Czech koruna\|Czech 20 korun coin]].<ref>Colin R. Bruce, II, George Cuhaj, and Thomas Michael, ''2007 Standard Catalog of World Coins'', Krause Publications, 2006, ISBN 0896894290, p. 81.</ref>

			==Related polygons==
			A tridecagram is a 13-sided [[star polygon]]. There are 5 regular forms given by [[Schläfli symbol]]s: {13/2}, {13/3}, {13/4}, {13/5}, {13/6}.
			:[[Image:Triskaidecagrams.svg\|360px]]

			==Construction==
			A regular tridecagon is not [[constructible polygon\|constructible]] with [[compass and straightedge]]. However, it is constructible using a [[Neusis construction]].<ref>{{citation
			\| last = Gleason \| first = Andrew M. \| authorlink = Andrew Gleason
			\| doi = 10.2307/2323624
			\| issue = 3
			\| journal = [[American Mathematical Monthly]]
			\| mr = 935432
			\| pages = 185–194
			\| title = Angle trisection, the heptagon, and the triskaidecagon
			\| volume = 95
			\| year = 1988}}.</ref>

			===Petrie polygons===
			The regular tridecagon is the [[Petrie polygon]] for a number of higher dimensional polytope, projected in a skew [[orthogonal projection]], including from the A<sub>12</sub>, [[12-simplex]] family:

			{\| class=wikitable width=750
			\|- align=center
			!A<sub>12</sub>
			\|[[File:12-simplex t0.svg\|125px]]<br>[[12-simplex]]
			\|[[File:12-simplex t1.svg\|125px]]<br>[[Rectified 12-simplex]]
			\|[[File:12-simplex t2.svg\|125px]]<br>[[Birectified 12-simplex]]
			\|[[File:12-simplex t3.svg\|125px]]<br>[[trirectified 12-simplex]]
			\|[[File:12-simplex t4.svg\|125px]]<br>[[quadrirectified 12-simplex]]
			\|[[File:12-simplex t5.svg\|125px]]<br>[[quintirectified 12-simplex]]
			\|}

			==References==
			{{reflist}}

			==External links==
			*{{MathWorld \|title=Tridecagon \|urlname=Tridecagon}}

			{{Polygons}}
			[[Category:Polygons]]

			{{Elementary-geometry-stub}}

27.4.224.148: /* Example */

2012-08-30T16:04:52Z

Example

New page

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