查看“︁五角帳塔柱”︁的源代码

{{noteTA
|T=zh-hans:五角台塔柱; zh-hant:五角帳塔柱;
|1=zh-hans:五角台塔柱; zh-hant:五角帳塔柱;
|2=zh-hans:五角台塔; zh-hant:五角帳塔;
|3=zh:Johnson多面體;zh-hans:约翰逊多面体; zh-hant:詹森多面體;
|4=zh-hans:台塔; zh-hant:帳塔;
|5=zh-hans:丸塔; zh-hant:罩帳;
|6=zh-hans:约翰逊; zh-hant:詹森;
|G1=Math
}}
{{Infobox polyhedron
| name = 五角帳塔柱
| polyhedron = 五角帳塔柱
| imagename = Elongated pentagonal cupola.png
| Type = [[Johnson多面體]] <br/> [[正四角帳塔柱|J<sub>19</sub>]] - '''J<sub>20</sub>''' - [[正五角罩帳柱|J<sub>21</sub>]]
| Coxeter_diagram =
| Face = 22
| Edge = 45
| Vertice = 25
| Face_type = [[三角形]]×5 <br> [[正方形]]×15 <br> [[五邊形]]×1 <br> [[十邊形]]×1
| Vertice_type = 
| Vertice_configuration = 10(4<sup>2</sup>.10)<br>10(3.4<sup>3</sup>)<br>5(3.4.5.4)
| Schläfli = 
| Wythoff = 
| Face_configuration = 
| Conway = 
| Symmetry_group = ''C''<sub>5v</sub> 
| Index_references = 
| dual =  [[五角半偏方面體錐柱]]
| Rotation_group = [[C45群|C<sub>5v</sub>群]]
| Dihedral_angle = 
| Properties = [[凸集|凸多面體]]
| 3d_image = 
| vfigimage = 
| dual_image = Dual elongated pentagonal cupola.png
| net_image = Johnson solid 19 net.png
}}
在[[幾何學]]中，'''五角帳塔柱'''是指底面為[[五邊形]]的[[帳塔柱]]。

== 正五角帳塔柱 ==
考慮一個正五角帳塔柱，當側面皆為正多邊形時則為92種[[Johnson多面體]]('''J<sub>20</sub>''')中的其中一個，顧名思義，它可由一個正十角柱在一個底面上連接一底面大小相同的[[正五角台塔]](J<sub>5</sub>)接合而成。或者也可以將[[同相雙五角帳塔柱]](J<sub>38</sub>)截去一個正五角帳塔而得到。這92種Johnson立體最早在1966年由Johnson Norman命名並給予描述。若邊長為a此時體積和表面積可以以特定的公式表示<ref>[[Stephen Wolfram]], "[http://www.wolframalpha.com/input/?i=Elongated+pentagonal+cupola Elongated pentagonal cupola] {{Wayback|url=http://www.wolframalpha.com/input/?i=Elongated+pentagonal+cupola |date=20160303175906 }}" from [[Wolfram Alpha]]. Retrieved July 22, 2010.</ref>：
:體積：<math>V=(\frac{1}{6}(5+4\sqrt{5}+15\sqrt{5+2\sqrt{5}}))a^3\approx10.0183...a^3</math>
:表面積：<math>A=(\frac{1}{4}(60+\sqrt{10(80+31\sqrt{5}+\sqrt{2175+930\sqrt{5}})}))a^2\approx26.5797...a^2</math>
=== 對偶多面體 ===
{| class=wikitable width=320
|- valign=top
!Dual elongated pentagonal cupola
!Net of dual
|- valign=top
|[[File:Dual elongated pentagonal cupola.png|160px]]
|[[File:Dual elongated pentagonal cupola net.png|160px]]
|}

==參見==
*[[Johnson多面體]]
*[[正五角帳塔]]
*[[同相雙五角帳塔柱]]

== 參考文獻 ==
<references/>
* {{mathworld | urlname =ElongatedTriangularCupola| title =Elongated pentagonal cupola}}
== 外部連結 ==
* {{mathworld | urlname = JohnsonSolid | title = Johnson solid}}

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{{詹森多面體}}
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[[Category:约翰逊多面体]]