五角柱

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正五角柱
五角柱
半正七面體、正五角柱
類別 柱體
7
15
頂點 10
歐拉特徵數 F=7, E=15, V=10 (χ=2)
面的種類 五邊形×2
正方形×5
面的佈局英语Face configuration 5{4}+2{5}
頂點圖英语Vertex figure 4.4.5
考克斯特符號英语Coxeter-Dynkin diagram CDel node 1.pngCDel 2.pngCDel node 1.pngCDel 5.pngCDel node.png
施萊夫利符號 t{2,5} or {5}x{}
威佐夫符號英语Wythoff symbol 2 5 | 2
康威表示法 P5
對稱群 D5h, [5,2], (*522), order 20
參考索引 U76(c)
對偶 雙五角錐
Rotation group D5, [5,2]+, (522), order 10
特性
立體圖 Pentagonal prism vertfig.png
4.4.5
(頂點圖)
Pentagonale bipiramide.png
雙五角錐
(對偶多面體)
Net of pentagonal prism.svg
(展開圖)

幾何學中,五角柱是一種多面體,是柱體的一種,是指底面是五邊形柱體。當它底面正五邊形時,則稱為正五角柱,若一正五角柱側面是正方形,則他就屬於半正多面體均勻多面體,因此有時稱為半正七面體

所有五角柱都是七面體,並且擁有71510頂點

在其他領域中[编辑]

相關多面體與鑲嵌[编辑]

半正五邊形二面體球面多面體
對稱群英语List of spherical symmetry groups[5,2], (*522) [5,2]+, (622)
CDel node 1.pngCDel 5.pngCDel node.pngCDel 2.pngCDel node.png CDel node 1.pngCDel 5.pngCDel node 1.pngCDel 2.pngCDel node.png CDel node.pngCDel 5.pngCDel node 1.pngCDel 2.pngCDel node.png CDel node.pngCDel 5.pngCDel node 1.pngCDel 2.pngCDel node 1.png CDel node.pngCDel 5.pngCDel node.pngCDel 2.pngCDel node 1.png CDel node 1.pngCDel 5.pngCDel node.pngCDel 2.pngCDel node 1.png CDel node 1.pngCDel 5.pngCDel node 1.pngCDel 2.pngCDel node 1.png CDel node h.pngCDel 5.pngCDel node h.pngCDel 2x.pngCDel node h.png
Pentagon.svg Regular decagon.svg Pentagon.svg Spherical pentagonal prism.png Spherical pentagonal hosohedron.png Spherical hexagonal antiprism.png
{5,2} t{5,2} r{5,2} 2t{5,2}=t{2,5} 2r{5,2}={2,5} rr{5,2} tr{5,2} sr{5,2}
半正對偶
CDel node f1.pngCDel 5.pngCDel node.pngCDel 2.pngCDel node.png CDel node f1.pngCDel 5.pngCDel node f1.pngCDel 2.pngCDel node.png CDel node.pngCDel 5.pngCDel node f1.pngCDel 2.pngCDel node.png CDel node.pngCDel 5.pngCDel node f1.pngCDel 2.pngCDel node f1.png CDel node.pngCDel 5.pngCDel node.pngCDel 2.pngCDel node f1.png CDel node f1.pngCDel 5.pngCDel node.pngCDel 2.pngCDel node f1.png CDel node f1.pngCDel 5.pngCDel node f1.pngCDel 2.pngCDel node f1.png CDel node fh.pngCDel 5.pngCDel node fh.pngCDel 2x.pngCDel node fh.png
Spherical pentagonal hosohedron.png Spherical decagonal hosohedron.png Spherical pentagonal hosohedron.png Spherical pentagonal bipyramid.png Pentagon.svg Spherical pentagonal bipyramid.png Spherical decagonal bipyramid.png Spherical pentagonal trapezohedron.png
V52 V102 V52 V4.4.5 V25 V4.4.5 V4.4.10 V3.3.3.5
正多邊形柱體系列
對稱群英语List of spherical symmetry groups 3 4 5 6 7 8 9 10 11 12
[2n,2]
[n,2]
[2n,2+]
CDel node 1.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node 1.png CDel node 1.pngCDel 4.pngCDel node.pngCDel 2.pngCDel node 1.png
CDel node 1.pngCDel 2.pngCDel node 1.pngCDel 2.pngCDel node 1.png
CDel node 1.pngCDel 4.pngCDel node h.pngCDel 2.pngCDel node h.png
CDel node 1.pngCDel 5.pngCDel node.pngCDel 2.pngCDel node 1.png CDel node 1.pngCDel 6.pngCDel node.pngCDel 2.pngCDel node 1.png
CDel node 1.pngCDel 3.pngCDel node 1.pngCDel 2.pngCDel node 1.png
CDel node 1.pngCDel 6.pngCDel node h.pngCDel 2.pngCDel node h.png
CDel node 1.pngCDel 7.pngCDel node.pngCDel 2.pngCDel node 1.png CDel node 1.pngCDel 8.pngCDel node.pngCDel 2.pngCDel node 1.png
CDel node 1.pngCDel 4.pngCDel node 1.pngCDel 2.pngCDel node 1.png
CDel node 1.pngCDel 8.pngCDel node h.pngCDel 2.pngCDel node h.png
CDel node 1.pngCDel 9.pngCDel node.pngCDel 2.pngCDel node 1.png CDel node 1.pngCDel 10.pngCDel node.pngCDel 2.pngCDel node 1.png
CDel node 1.pngCDel 5.pngCDel node 1.pngCDel 2.pngCDel node 1.png
CDel node 1.pngCDel 10.pngCDel node h.pngCDel 2.pngCDel node h.png
CDel node 1.pngCDel 11.pngCDel node.pngCDel 2.pngCDel node 1.png CDel node 1.pngCDel 12.pngCDel node.pngCDel 2.pngCDel node 1.png
CDel node 1.pngCDel 6.pngCDel node 1.pngCDel 2.pngCDel node 1.png
CDel node 1.pngCDel 12.pngCDel node h.pngCDel 2.pngCDel node h.png
圖像 Triangular prism.png Tetragonal prism.png
Uniform polyhedron 222-t012.png
Cube rotorotational symmetry.png
Pentagonal prism.png Hexagonal prism.png
Truncated triangle prism.png
Cantic snub hexagonal hosohedron.png
Prism 7.png Octagonal prism.png
Truncated square prism.png
Cantic snub octagonal hosohedron.png
Prism 9.png Decagonal prism.png Hendecagonal prism.png Dodecagonal prism.png
球面多面體
圖像 Spherical triangular prism.png Spherical square prism.png
Spherical square prism2.png
Spherical pentagonal prism.png Spherical hexagonal prism.png
Spherical hexagonal prism2.png
Spherical heptagonal prism.png Spherical octagonal prism.png
Spherical octagonal prism2.png
Spherical decagonal prism.png
Spherical decagonal prism2.png
柱體形式半正鑲嵌系列:
球面鑲嵌 柱體 歐式鑲嵌
仿緊空間
雙曲鑲嵌
非緊空間
Henagonal hosohedron.png
t{2,1}
CDel node.pngCDel 2.pngCDel node 1.png
Spherical digonal hosohedron.PNG
t{2,2}
CDel node 1.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node 1.png
Spherical triangular prism.png
t{3,2}
CDel node 1.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node 1.png
Spherical square prism.png
{4,2}
CDel node 1.pngCDel 4.pngCDel node.pngCDel 2.pngCDel node 1.png
Spherical pentagonal prism.png
t{5,2}
CDel node 1.pngCDel 5.pngCDel node.pngCDel 2.pngCDel node 1.png
Spherical hexagonal prism.png
t{6,2}
CDel node 1.pngCDel 6.pngCDel node.pngCDel 2.pngCDel node 1.png
Spherical heptagonal prism.png
t{7,2}
CDel node 1.pngCDel 7.pngCDel node.pngCDel 2.pngCDel node 1.png
Spherical octagonal prism.png
t{8,2}
CDel node 1.pngCDel 8.pngCDel node.pngCDel 2.pngCDel node 1.png
...


E2 tiling 22i-6.png
t{2,∞}
CDel node 1.pngCDel infin.pngCDel node.pngCDel 2.pngCDel node 1.png
H2 tiling 22i-6.png
t{2,iπ/λ}
CDel node 1.pngCDel ultra.pngCDel node.pngCDel 2.pngCDel node 1.png

參見[编辑]

參考文獻[编辑]

  1. ^ The Pentagon – George Bergstrom – Great Buildings Online. Greatbuildings.com. [2008-10-26]. 

外部連結[编辑]