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Kupola (geometrija)

Petstrana kupola
Pentagonal cupola
vrsta skupina kupol
stranske ploskve n trikotnikov,
n kvadratov1
n-kotnik,
1 2n-kotnik
robovi 5n
oglišča 3n
simetrijska grupa Cnv, [1,n], (*nn)
dualni polieder ?
lastnosti konveksni

Kupola je v geometriji telo, ki nastane z združevanjem dveh mnogokotnikov. Eden med njimi (osnova) ima dvakrat več robov kot drugi. Pri tem pa se se izmenjuje pas trikotnikov in pravokotnikov. Če so trikotniki enakostranični in so pravokotniki kvadrati in so osnova ter nasprotne stranske ploskve pravilni mnogokotniki ali tristrane, kvadratne ali petstrane kupole, ki jih prištevamo med Johnsonova telesa.

Zgledi

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Digonalna kupola (klin)
Tristrana kupola s pravilnimi stranskimi ploskvami (J3)
Kvadratna kupola s pravilnimi stranskimi ploskvami (J4)
Petstrana kupola s pravilnimi stranskimi ploskvami (J5)

Hiperkupole

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Hiperkupole so skupina neuniformnih polihoronov, ki so analogni kupolam

Tetraederska kupola Kubična kupola Oktaederska kupola Dodekaederska kupola Ikozaederska kupola
oglišča 16 32 30 80 72
robovi 42 84 84 210 210
stranske ploskve 42 24 trikotnikov
18 kvadratov
80 32 trikotnikov
48 kvadratov
82 40 trikotnikov
42 kvadratov
194 80 trikotnikov
90 kvadratov
24 petkotnikov
202 100 trikotnikov
90 kvadratov
12 petkotnikov
celice 16 1 tetraeder
4 tristrane prizme
6 tristranih prizem
4 trikotne piramide
1 kuooktaeder
28  1 kocka
 6 kvadratnih prizem
12 tristranih prizem
 8 trikotnih piramid
 1 rombikubooktaeder
28  1 oktaeder
 8 tristranih prizem
12 tristranih prizem
 6 kvadratnih piramid
1 rombikubooktseder
64  1 dodekaeder
12 petstranih prizem
30 tristranih prizem
20 trikotnih piramid
 1 rombiikozidodekaeder
64  1 ikozaeder
20 tristranih prizem
30 tristranih prizem
12 petkotne piramide
 1 rombiikozidodekaeder

Zunanje povezave

[uredi | uredi kodo]
  • Weisstein, Eric Wolfgang. »Cupola«. MathWorld.


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Kupola (geometrija)
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