Heksaeder: Forskelle mellem versioner
Content deleted Content added
No edit summary |
Tjalland (diskussion | bidrag) Indsætter illustrationer fra enwiki, men tilrettelser af sproget er nok nødvendigt, da jeg ikke er helt inde matematiske termer! |
||
Linje 1:
Et '''heksaeder''' (eller '''hexaeder''') er et [[polyeder]] med seks sider. Et velkendt hexaeder er [[terning]]en.
{| class="wikitable" width="770"
! colspan="7" |Firsidede heksaeder (Kasseformet) 6 sider, 12 kanter, 8 hjørner
|- align="center"
|[[File:Hexahedron.png|link=https://en.wikipedia.org/wiki/File:Hexahedron.png|110x110px]]
|[[File:Cuboid.png|link=https://en.wikipedia.org/wiki/File:Cuboid.png|110x110px]]
|[[File:Trigonal_trapezohedron.png|link=https://en.wikipedia.org/wiki/File:Trigonal_trapezohedron.png|117x117px]]
|[[File:Trigonal_trapezohedron_gyro-side.png|link=https://en.wikipedia.org/wiki/File:Trigonal_trapezohedron_gyro-side.png|133x133px]]
|[[File:Usech_kvadrat_piramid.png|link=https://en.wikipedia.org/wiki/File:Usech_kvadrat_piramid.png|110x110px]]
|[[File:Parallelepiped_2013-11-29.svg|link=https://en.wikipedia.org/wiki/File:Parallelepiped_2013-11-29.svg|110x110px]]
|[[File:Rhombohedron.svg|link=https://en.wikipedia.org/wiki/File:Rhombohedron.svg|110x110px]]
|-
|[[Terning]]([[kvadrat]])
|Rektangulær kasse
(tre par af
rektangler)
|Trigonal trapezohedron
(kongruent [[Rombe|romber]])
|Trigonal trapezohedron
(kongruent firkanter)
|Firsidede [[keglestub]]
(apeks-afkortet
kvadratisk [[pyramide]])
|[[Parallelepipedum]](tre par af
parallelogrammer)
|(tre par af
romber)
|-
!O<sub>h</sub>, [4,3], (*432)
order 48
!D<sub>2h</sub>, [2,2], (*222)
order 8
!''D''<sub>3''d''</sub>, [2<sup>+</sup>,6], (2*3)
order 12
!''D''<sub>3</sub>, [2,3]<sup>+</sup>, (223)
order 6
!C<sub>4v</sub>, [4], (*44)
order 8
! colspan="2" |''C<sub>i</sub>'', [2<sup>+</sup>,2<sup>+</sup>], (×)
order 2
|}
'''Andre'''
{| class="wikitable" width="700"
|[[File:Hexahedron5.svg|link=https://en.wikipedia.org/wiki/File:Hexahedron5.svg|100x100px]]Triangulært bipyramide
3<sup>6</sup> Sider
9 K, 5 H
|[[File:Hexahedron7.svg|link=https://en.wikipedia.org/wiki/File:Hexahedron7.svg|75x75px]][[File:Hexahedron7a.svg|link=https://en.wikipedia.org/wiki/File:Hexahedron7a.svg|75x75px]]Tetragonal antikile. Chiral – findes i "venstre-håndet" og "højre-håndet" spejlede former.
4.4.3.3.3.3 Sider
10 K, 6 H
|[[File:Hexahedron6.svg|link=https://en.wikipedia.org/wiki/File:Hexahedron6.svg|100x100px]]4.4.4.4.3.3 Sider
11 K, 7 H
|[[File:Hexahedron2.svg|link=https://en.wikipedia.org/wiki/File:Hexahedron2.svg|100x100px]]Pentagonal pyramide
5.3<sup>5</sup> Sider
10 K, 6 H
|[[File:Hexahedron3.svg|link=https://en.wikipedia.org/wiki/File:Hexahedron3.svg|100x100px]]5.4.4.3.3.3 Sider
11 K, 7 H
|[[File:Hexahedron4.svg|link=https://en.wikipedia.org/wiki/File:Hexahedron4.svg|100x100px]]5.5.4.4.3.3 Sider
12 K, 8 H
|}
Der er tre yderligere topologisk særskilte hexahedra, der kun kan realiseres som konkaviske figurer:
{| class="wikitable"
! colspan="3" |Konkav
|- valign="top"
|[[File:Hexahedron8.svg|link=https://en.wikipedia.org/wiki/File:Hexahedron8.svg|100x100px]]4.4.3.3.3.3 Sider
10 K, 6 H
|[[File:Hexahedron10.svg|link=https://en.wikipedia.org/wiki/File:Hexahedron10.svg|100x100px]]5.5.3.3.3.3 Sider
11 H, 7 K
|[[File:Hexahedron9.svg|link=https://en.wikipedia.org/wiki/File:Hexahedron9.svg|100x100px]]6.6.3.3.3.3 Sider
12 K, 8 H
|}
[[Kategori:Platoniske legemer]]
[[Kategori:Geometriske former]]
| |||