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Small ditrigonal icosidodecahedron - Wikipedia
Kichik ditrigonal ikosidodekaedr
Kichik ditrigonal icosidodecahedron.png
TuriYagona yulduzli ko'pburchak
ElementlarF = 32, E = 60
V = 20 (χ = -8)
Yuzlar yonma-yon20{3}+12{5/2}
Wythoff belgisi3 | 5/2 3
Simmetriya guruhiMenh, [5,3], *532
Indeks ma'lumotnomalariU30, C39, V70
Ikki tomonlama ko'pburchakKichik triambik ikosaedr
Tepalik shakliKichik ditrigonal icosidodecahedron vertfig.png
(3.5/2)3
Bowers qisqartmasiSidtid
Kichik ditrigonal ikosidodekaedrning 3D modeli

Yilda geometriya, kichik ditrigonal ikosidodekaedr (yoki kichik ditrigonar ikosidodekaedr) a konveks bo'lmagan bir xil ko'pburchak, U sifatida indekslangan30. Uning 32 yuzi bor (20 uchburchaklar va 12 pentagramlar), 60 chekka va 20 ta tepalik.[1] U uzaytirildi Schläfli belgisi a {5,3}, an o'zgartirilgan dodekaedrva Kokseter diagrammasi CDel tugun h3.pngCDel 5.pngCDel node.pngCDel 3.pngCDel node.png yoki CDel label5-2.pngCDel filiali 10ru.pngCDel split2.pngCDel node.png.

U qurilgan Shvarts uchburchagi (3 3 ​52) bilan Wythoff belgisi 3 | ​52 3. Uning olti burchakli tepalik shakli o'zgarib turadi teng qirrali uchburchak va pentagram yuzlar.

Bilan bog'liq polyhedra

Uning qavariq korpus odatiy hisoblanadi dodekaedr. U qo'shimcha ravishda o'z ulushini baham ko'radi chekka tartib bilan katta ditrigonal ikosidodekaedr (umumiy uchburchak yuzlarga ega), ditrigonal dodekadodekaedr (pentagrammik yuzlar umumiy) va odatiy besh kubikdan iborat birikma. Oddiy ko'pburchak sifatida, u ham hexakis qisqartirilgan ikosaedr bu erda beshburchaklarga tegib turgan uchburchaklar koplanar hosil bo'lib, boshqalari konkavga aylanadi.

a {5,3}a {5 / 2,3}b {5,5 / 2}
CDel label5-2.pngCDel filiali 10ru.pngCDel split2.pngCDel node.png = CDel tugun h3.pngCDel 5.pngCDel node.pngCDel 3.pngCDel node.pngCDel label5-4.pngCDel filiali 10ru.pngCDel split2.pngCDel node.png = CDel tugun h3.pngCDel 5-2.pngCDel node.pngCDel 3.pngCDel node.pngCDel node.pngCDel 5.pngCDel tugun h3.pngCDel 5-2.pngCDel node.png
Kichik ditrigonal icosidodecahedron.png
Kichik ditrigonal ikosidodekaedr
Ajoyib ditrigonal icosidodecahedron.png
Ditrigonal ikosidodekaedr
Ditrigonal dodecadodecahedron.png
Ditrigonal dodekadodekaedr
Dodecahedron.png
Dodekaedr (qavariq korpus)
Besh kubik birikmasi.png
Besh kubik aralashmasi
Besh kubikdan iborat sferik birikma.png
5 kubikdan iborat sferik birikma

Adabiyotlar

  1. ^ Maeder, Rim. "30: kichik ditrigonal ikosidodekaedr". MathConsult.

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