WikiDer > Kantik sakkiz qirrali plitka
Cantic octagonal tiling
| Kantik sakkiz qirrali plitka | |
|---|---|
 Poincaré disk modeli ning giperbolik tekislik | |
| Turi | Giperbolik bir xil plitka |
| Vertex konfiguratsiyasi | 3.6.4.6 |
| Schläfli belgisi | h2{8,3} |
| Wythoff belgisi | 4 3 | 3 |
| Kokseter diagrammasi |     =     |
| Simmetriya guruhi | [(4,3,3)], (*433) |
| Ikki tomonlama | Buyurtma-4-3-3 t12 dual plitka |
| Xususiyatlari | Vertex-tranzitiv |
Yilda geometriya, tritetratrigonal plitka yoki shieldotritetragonal plitka a bir xil plitka giperbolik tekislik. Unda bor Schläfli belgisi t ning1,2(4,3,3). Bundan tashqari, a deb nomlanishi mumkin mantiqiy sakkiz burchakli plitka, h2{8,3}.
Ikkita plitka
Tegishli polyhedra va plitkalar
| Yagona (4,3,3) plitkalar | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Simmetriya: [(4,3,3)], (*433) | [(4,3,3)]+, (433) | ||||||||||
 |  | | |  | | |   | ||||
|  | | | | | | | ||||
 |  |  | |  |  |  |  | ||||
| soat {8,3} t0(4,3,3) | r {3,8}1/2 t0,1(4,3,3) | soat {8,3} t1(4,3,3) | h2{8,3} t1,2(4,3,3) | {3,8}1/2 t2(4,3,3) | h2{8,3} t0,2(4,3,3) | t {3,8}1/2 t0,1,2(4,3,3) | lar {3,8}1/2 s (4,3,3) | ||||
| Yagona duallar | |||||||||||
 |  | | |  | |  |  | ||||
| V (3,4)3 | V3.8.3.8 | V (3,4)3 | V3.6.4.6 | V (3.3)4 | V3.6.4.6 | V6.6.8 | V3.3.3.3.3.4 | ||||
| Simmetriya * n32 [1+, 2n, 3] = [(n, 3,3)] | Sharsimon | Evklid | Yilni giperbolik | Parakompakt | ||
|---|---|---|---|---|---|---|
| *233 [1+,4,3] = [3,3] | *333 [1+,6,3] = [(3,3,3)] | *433 [1+,8,3] = [(4,3,3)] | *533 [1+,10,3] = [(5,3,3)] | *633... [1+,12,3] = [(6,3,3)] | *∞33 [1+,∞,3] = [(∞,3,3)] | |
| Kokseter Schläfli |  =  h2{4,3} |  = h2{6,3} | = h2{8,3} |  =  h2{10,3} |  =  h2{12,3} |  =  h2{∞,3} |
| Kantik shakl |  |  | |  |  |  |
| Tepalik | 3.6.2.6 | 3.6.3.6 | 3.6.4.6 | 3.6.5.6 | 3.6.6.6 | 3.6.∞.6 |
 Domen |  |  |  |  |  |  |
| Wythoff | 2 3 | 3 | 3 3 | 3 | 4 3 | 3 | 5 3 | 3 | 6 3 | 3 | ∞ 3 | 3 |
| Ikki tomonlama shakl |  |  | | |||
| Yuz | V3.6.2.6 | V3.6.3.6 | V3.6.4.6 | V3.6.5.6 | V3.6.6.6 | V3.6.∞.6 |
Adabiyotlar
- John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, Narsalarning simmetriyalari 2008, ISBN 978-1-56881-220-5 (19-bob, Giperbolik Arximed Tessellations)
- "10-bob: giperbolik bo'shliqda muntazam chuqurchalar". Geometriya go'zalligi: o'n ikkita esse. Dover nashrlari. 1999 yil. ISBN 0-486-40919-8. LCCN 99035678.
Shuningdek qarang
 | Vikimedia Commons-ga tegishli ommaviy axborot vositalari mavjud Bir xil plitka 3-6-4-6. |
Tashqi havolalar
- Vayshteyn, Erik V. "Giperbolik plitka". MathWorld.
- Vayshteyn, Erik V. "Poincaré giperbolik disk". MathWorld.
- Giperbolik va sferik plitkalar galereyasi
- KaleidoTile 3: sharsimon, tekis va giperbolik qoplamalarni yaratish uchun o'quv dasturi
- Giperbolik planar tessellations, Don Xet
 | Bu geometriya bilan bog'liq maqola a naycha. Siz Vikipediyaga yordam berishingiz mumkin uni kengaytirish. |