Gyroelongated bikupola - Gyroelongated bicupola - Wikipedia

Giroelongated bikupolalar to'plami
Gyroelongated beshburchak bicupola.png
Masalan, beshburchak shakl
Yuzlar6n uchburchaklar
2n kvadratchalar
2 n-gon
Qirralar16n
Vertices6n
Simmetriya guruhiD.n, [n, 2]+, (n22)
Qaytish guruhiD.n, [n, 2]+, (n22)
Xususiyatlariqavariq, chiral

Yilda geometriya, gyroelongated bicupolae ning cheksiz to'plamlari polyhedra, ikkita n-gonalga tutashgan holda qurilgan kuboklar n-gonalgacha Antiprizm. Uchburchak, to'rtburchak va beshburchak gyroelongated bikupola beshtadan uchtasi Jonson qattiq moddalari qaysiki chiral, bu ularning "chap qo'l" va "o'ng qo'l" shakllariga ega ekanligini anglatadi.

Ikki qo'shni uchburchak prizmalar kubga ham ko'pburchak hosil bo'ladi, lekin yonma-yon parallel yuzlari bor, shuning uchun Jonsonning qattiq moddasi emas. Olti burchakli shakl ham ko'pburchakdir, lekin ega qo'shma plan yuzlar. Yuqori shakllarni oddiy yuzlarsiz qurish mumkin.

Rasm cwRasm ccwIsmYuzlar
Gyroelongated digonal bicupola cw.pngGyroelongated digonal bicupola ccw.pngGyroelongated digonal bikupola4 ta uchburchak, 4 ta kvadrat
Gyroelongated uchburchak bicupola cw.pngGyroelongated uchburchak bicupola ccw.pngGyroelongated uchburchak bikupola (J44)6 + 2 uchburchak, 6 kvadrat
Gyroelongated kvadrat bicupola cw.pngGyroelongated kvadrat bicupola ccw.pngGyroelongated kvadrat bikupola (J45)8 ta uchburchak, 8 + 2 kvadrat
Gyroelongated beshburchak bikupola cw.pngGyroelongated beshburchak bikupola ccw.pngGyroelongated beshburchak bikupola (J46)30 uchburchak, 10 kvadrat, 2 beshburchak
Gyroelongated olti burchakli bikupola12 uchburchak, 24 kvadrat, 2 olti burchak

Shuningdek qarang

Adabiyotlar

  • Norman V. Jonson, "Doimiy yuzlari bilan qavariq qattiq moddalar", Kanada matematik jurnali, 18, 1966, 169–200 betlar. 92 ta qattiq moddalarning asl ro'yxati va boshqalar yo'q degan taxminni o'z ichiga oladi.
  • Viktor A. Zalgaller (1969). Doimiy yuzlar bilan qavariq polyhedra. Maslahatchilar byurosi. ISBN yo'q. Jonsonning atigi 92 ta qattiq moddasi borligining birinchi isboti.