Vibrating string - Revision history

81.242.194.5: /* Frequency of the wave */

2015-01-03T18:49:16Z

Frequency of the wave

← Older revision		Revision as of 20:49, 3 January 2015
Line 1:		Line 1:
	~~{{Even polygon db\|Even polygon stat table\|p30}}~~		Greetings. The writer's title is Phebe and she feels comfy when people use the full name. Since she was 18 she's been working as a receptionist but her marketing by no means comes. South Dakota is where me and my husband live. Body building is what my family members and I appreciate.<br><br>Here is my blog ... [http://www.missdica.com/a_gallery/1866456 at home std testing]
	~~In [[geometry]], an '''triacontagon''' is a thirty-sided [[polygon]]~~. The ~~sum of any triacontagon~~'s ~~interior angles~~ is ~~5040 degrees~~.

	~~One interior angle in~~ a ~~[[regular polygon\|regular]] triacontagon is 168°, meaning that one exterior angle would be 12°~~. ~~The triacontagon~~ is ~~the largest regular polygon whose interior angle is the sum of the interior angles of smaller polygons: 168° is the sum of the interior angles of the [[equilateral triangle]] (60°)~~ and ~~the [[regular pentagon]] (108°)~~.

	~~The regular triacontagon~~ is ~~a [[constructible polygon]], by an edge-[[bisection]] of a regular [[pentadecagon]],~~ and ~~can be seen as a [[Truncation (geometry)\|truncated]] pentadecagon.~~

	~~==Area==~~
	~~The [[area]] of a regular triacontangon is (with {{nowrap\|''t'' {{=}} edge length}})~~
	~~:<math>A = \frac{15}{2} t^2 \cot \frac{\pi}{30}</math>~~

	~~===Petrie polygons===~~
	~~The regular triacontagon is the [[Petrie polygon]] for a number of higher dimensional polytopes with E<sub>8</sub> symmetry, shown in [[orthogonal projection]]s in the E<sub>8</sub> [[Coxeter plane]]:~~

	~~{\| class=wikitable~~
	~~\|- align=center valign=top~~
	~~\|[[File:4_21_t0_E8.svg\|100px]]<BR>[[4 21 polytope\|(4<sub>21</sub>)]]~~
	~~\|[[File:4_21_t1_E8.svg\|100px]]<BR>[[Rectified 4 21 polytope\|t<sub>1</sub>(4<sub>21</sub>)]]~~
	~~\|[[File:4_21_t2_E8.svg\|100px]]<BR>t<sub>2</sub>(4<sub>21</sub>)~~
	~~<!--\|[[File:4_21_t3_E8.svg\|100px]]<BR>t<sub>3</sub>(4<sub>21</sub>)-->~~
	~~<!--\|[[File:4_21_t4_E8.svg\|100px]]<BR>t<sub>4</sub>(4<sub>21</sub>)-->~~
	~~\|[[File:2_41_t0_E8.svg\|100px]]<BR>[[2_41 polytope\|(2<sub>41</sub>)]]~~
	~~\|[[File:2_41_t1_E8~~.~~svg\|100px]]<BR>[[Rectified 2_41 polytope\|t<sub>1</sub>(2<sub>41</sub>)]]~~
	~~<!--\|[[File:1_42_t0_E8.svg\|100px]]<BR>[[2_41 polytope\|(1~~<~~sub~~>42<~~/sub~~>~~)]]-->~~
	\|}

	It is ~~also the Petrie polygon for some higher dimensional polytopes with H<sub>4</sub> symmetry, shown in [[orthogonal projection]]s in the H<sub>4</sub> [[Coxeter plane]]:~~

	~~{\| class=wikitable~~
	~~\|- align=center valign=top~~
	~~\|[[File:120-cell graph H4.svg\|100px]]<BR>[[120-cell]]~~
	~~\|[[File:120-cell_t1_H4~~.~~svg\|100px]]<BR>[[Rectified 120-cell]]~~
	~~\|[[File:600-cell_t1_H4~~.~~svg\|100px]]<BR>[[Rectified 600-cell]]~~
	~~\|[[File:600-cell graph H4~~.~~svg\|100px]]<BR>[[600-cell]]~~
	\|}

	~~==References==~~
	~~{{Reflist}}~~
	*{{MathWorld\|title=Triacontagon\|urlname=Triacontagon}}
	*[http://~~mathforum~~.~~org/dr~~.~~math~~/~~faq~~/~~faq.polygon.names.html Naming Polygons and Polyhedra]~~

	~~{{Clear}}~~
	~~{{polygons}}~~

	~~[[Category:Polygons]~~]

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

en>Monkbot: /* References */Fix CS1 deprecated date parameter errors

2014-01-31T14:23:30Z

References: Fix CS1 deprecated date parameter errors

← Older revision		Revision as of 16:23, 31 January 2014
Line 1:		Line 1:
	~~Greetings! I am Marvella~~ and ~~I really feel comfy when individuals use~~ the ~~complete title~~. ~~Puerto Rico~~ is ~~exactly where he~~'s ~~always been living but she needs to move simply because of her family~~. ~~To collect coins~~ is ~~what his family and him appreciate~~. ~~Hiring is her day occupation now and she will not change it anytime soon~~.<br><br>~~my web~~-~~site~~: [~~https~~://~~www~~.~~Tumblr~~.~~com~~/~~blog~~/~~mmattchuu weight loss food delivery~~]		{{Even polygon db\|Even polygon stat table\|p30}}
			In [[geometry]], an '''triacontagon''' is a thirty-sided [[polygon]]. The sum of any triacontagon's interior angles is 5040 degrees.

			One interior angle in a [[regular polygon\|regular]] triacontagon is 168°, meaning that one exterior angle would be 12°. The triacontagon is the largest regular polygon whose interior angle is the sum of the interior angles of smaller polygons: 168° is the sum of the interior angles of the [[equilateral triangle]] (60°) and the [[regular pentagon]] (108°).

			The regular triacontagon is a [[constructible polygon]], by an edge-[[bisection]] of a regular [[pentadecagon]], and can be seen as a [[Truncation (geometry)\|truncated]] pentadecagon.

			==Area==
			The [[area]] of a regular triacontangon is (with {{nowrap\|''t'' {{=}} edge length}})
			:<math>A = \frac{15}{2} t^2 \cot \frac{\pi}{30}</math>

			===Petrie polygons===
			The regular triacontagon is the [[Petrie polygon]] for a number of higher dimensional polytopes with E<sub>8</sub> symmetry, shown in [[orthogonal projection]]s in the E<sub>8</sub> [[Coxeter plane]]:

			{\| class=wikitable
			\|- align=center valign=top
			\|[[File:4_21_t0_E8.svg\|100px]]<BR>[[4 21 polytope\|(4<sub>21</sub>)]]
			\|[[File:4_21_t1_E8.svg\|100px]]<BR>[[Rectified 4 21 polytope\|t<sub>1</sub>(4<sub>21</sub>)]]
			\|[[File:4_21_t2_E8.svg\|100px]]<BR>t<sub>2</sub>(4<sub>21</sub>)
			<!--\|[[File:4_21_t3_E8.svg\|100px]]<BR>t<sub>3</sub>(4<sub>21</sub>)-->
			<!--\|[[File:4_21_t4_E8.svg\|100px]]<BR>t<sub>4</sub>(4<sub>21</sub>)-->
			\|[[File:2_41_t0_E8.svg\|100px]]<BR>[[2_41 polytope\|(2<sub>41</sub>)]]
			\|[[File:2_41_t1_E8.svg\|100px]]<BR>[[Rectified 2_41 polytope\|t<sub>1</sub>(2<sub>41</sub>)]]
			<!--\|[[File:1_42_t0_E8.svg\|100px]]<BR>[[2_41 polytope\|(1<sub>42</sub>)]]-->
			\|}

			It is also the Petrie polygon for some higher dimensional polytopes with H<sub>4</sub> symmetry, shown in [[orthogonal projection]]s in the H<sub>4</sub> [[Coxeter plane]]:

			{\| class=wikitable
			\|- align=center valign=top
			\|[[File:120-cell graph H4.svg\|100px]]<BR>[[120-cell]]
			\|[[File:120-cell_t1_H4.svg\|100px]]<BR>[[Rectified 120-cell]]
			\|[[File:600-cell_t1_H4.svg\|100px]]<BR>[[Rectified 600-cell]]
			\|[[File:600-cell graph H4.svg\|100px]]<BR>[[600-cell]]
			\|}

			==References==
			{{Reflist}}
			*{{MathWorld\|title=Triacontagon\|urlname=Triacontagon}}
			*[http://mathforum.org/dr.math/faq/faq.polygon.names.html Naming Polygons and Polyhedra]

			{{Clear}}
			{{polygons}}

			[[Category:Polygons]]

			{{Elementary-geometry-stub}}

en>DVdm: Reverted edits by 115.147.106.212 (talk) to last revision by 199.46.199.231 (HG)

2012-05-02T08:44:39Z

Reverted edits by 115.147.106.212 (talk) to last revision by 199.46.199.231 (HG)

New page

Greetings! I am Marvella and I really feel comfy when individuals use the complete title. Puerto Rico is exactly where he's always been living but she needs to move simply because of her family. To collect coins is what his family and him appreciate. Hiring is her day occupation now and she will not change it anytime soon.<br><br>my web-site: [https://www.Tumblr.com/blog/mmattchuu weight loss food delivery]

← Older revision		Revision as of 20:49, 3 January 2015
Line 1:		Line 1:
	~~{{Even polygon db\|Even polygon stat table\|p30}}~~		Greetings. The writer's title is Phebe and she feels comfy when people use the full name. Since she was 18 she's been working as a receptionist but her marketing by no means comes. South Dakota is where me and my husband live. Body building is what my family members and I appreciate.<br><br>Here is my blog ... [http://www.missdica.com/a_gallery/1866456 at home std testing]
	~~In [[geometry]], an '''triacontagon''' is a thirty-sided [[polygon]]~~. The ~~sum of any triacontagon~~'s ~~interior angles~~ is ~~5040 degrees~~.

	~~One interior angle in~~ a ~~[[regular polygon\|regular]] triacontagon is 168°, meaning that one exterior angle would be 12°~~. ~~The triacontagon~~ is ~~the largest regular polygon whose interior angle is the sum of the interior angles of smaller polygons: 168° is the sum of the interior angles of the [[equilateral triangle]] (60°)~~ and ~~the [[regular pentagon]] (108°)~~.

	~~The regular triacontagon~~ is ~~a [[constructible polygon]], by an edge-[[bisection]] of a regular [[pentadecagon]],~~ and ~~can be seen as a [[Truncation (geometry)\|truncated]] pentadecagon.~~

	~~==Area==~~
	~~The [[area]] of a regular triacontangon is (with {{nowrap\|''t'' {{=}} edge length}})~~
	~~:<math>A = \frac{15}{2} t^2 \cot \frac{\pi}{30}</math>~~

	~~===Petrie polygons===~~
	~~The regular triacontagon is the [[Petrie polygon]] for a number of higher dimensional polytopes with E<sub>8</sub> symmetry, shown in [[orthogonal projection]]s in the E<sub>8</sub> [[Coxeter plane]]:~~

	~~{\| class=wikitable~~
	~~\|- align=center valign=top~~
	~~\|[[File:4_21_t0_E8.svg\|100px]]<BR>[[4 21 polytope\|(4<sub>21</sub>)]]~~
	~~\|[[File:4_21_t1_E8.svg\|100px]]<BR>[[Rectified 4 21 polytope\|t<sub>1</sub>(4<sub>21</sub>)]]~~
	~~\|[[File:4_21_t2_E8.svg\|100px]]<BR>t<sub>2</sub>(4<sub>21</sub>)~~
	~~<!--\|[[File:4_21_t3_E8.svg\|100px]]<BR>t<sub>3</sub>(4<sub>21</sub>)-->~~
	~~<!--\|[[File:4_21_t4_E8.svg\|100px]]<BR>t<sub>4</sub>(4<sub>21</sub>)-->~~
	~~\|[[File:2_41_t0_E8.svg\|100px]]<BR>[[2_41 polytope\|(2<sub>41</sub>)]]~~
	~~\|[[File:2_41_t1_E8~~.~~svg\|100px]]<BR>[[Rectified 2_41 polytope\|t<sub>1</sub>(2<sub>41</sub>)]]~~
	~~<!--\|[[File:1_42_t0_E8.svg\|100px]]<BR>[[2_41 polytope\|(1~~<~~sub~~>42<~~/sub~~>~~)]]-->~~
	\|}

	It is ~~also the Petrie polygon for some higher dimensional polytopes with H<sub>4</sub> symmetry, shown in [[orthogonal projection]]s in the H<sub>4</sub> [[Coxeter plane]]:~~

	~~{\| class=wikitable~~
	~~\|- align=center valign=top~~
	~~\|[[File:120-cell graph H4.svg\|100px]]<BR>[[120-cell]]~~
	~~\|[[File:120-cell_t1_H4~~.~~svg\|100px]]<BR>[[Rectified 120-cell]]~~
	~~\|[[File:600-cell_t1_H4~~.~~svg\|100px]]<BR>[[Rectified 600-cell]]~~
	~~\|[[File:600-cell graph H4~~.~~svg\|100px]]<BR>[[600-cell]]~~
	\|}

	~~==References==~~
	~~{{Reflist}}~~
	*{{MathWorld\|title=Triacontagon\|urlname=Triacontagon}}
	*[http://~~mathforum~~.~~org/dr~~.~~math~~/~~faq~~/~~faq.polygon.names.html Naming Polygons and Polyhedra]~~

	~~{{Clear}}~~
	~~{{polygons}}~~

	~~[[Category:Polygons]~~]

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