WikiDer > Snub order-6 kvadrat plitka
Snub order-6 square tiling
| Snub order-6 kvadrat plitka | |
|---|---|
 Poincaré disk modeli ning giperbolik tekislik | |
| Turi | Giperbolik bir xil plitka |
| Vertex konfiguratsiyasi | 3.3.3.4.3.4 |
| Schläfli belgisi | s (4,4,3) lar {4,6} |
| Wythoff belgisi | | 4 4 3 |
| Kokseter diagrammasi |       |
| Simmetriya guruhi | [(4,4,3)]+, (443) [6,4+], (4*3) |
| Ikki tomonlama | Buyurtma-4-4-3 snub ikki tomonlama plitka |
| Xususiyatlari | Vertex-tranzitiv |
Yilda geometriya, buyurtma-6 kvadrat plitka a bir xil plitka giperbolik tekislik. Unda bor Schläfli belgisi s {(4,4,3)} yoki s {4,6}.
Tasvirlar
Chiral juftlikda chizilgan:
Simmetriya
Simmetriya a ga tenglashtiriladi buyurtma-6 kvadrat plitka, kvadratning faqat bitta rangi bilan. Unda bor Schläfli belgisi {4,6} -dan.
Tegishli polyhedra va plitkalar
Shakl 3.3.3.4.3.4 yagona giperbolik plitka hosil qilmaydi. Boshqa bilan to'rtburchak asosiy domen (3 2 2 2) va 2 * 32 simmetriya hosil bo'ladi 
:
| Yagona (4,4,3) plitkalar | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Simmetriya: [(4,4,3)] (*443) | [(4,4,3)]+ (443) | [(4,4,3+)] (3*22) | [(4,1+,4,3)] (*3232) | |||||||
 |  |  |  | |  | | | | | |
| |  | | | | | | | |  |
 |  |  |  |  |  |  | |  |  |  |
| soat {6,4} t0(4,4,3) | h2{6,4} t0,1(4,4,3) | {4,6}1/2 t1(4,4,3) | h2{6,4} t1,2(4,4,3) | soat {6,4} t2(4,4,3) | r {6,4}1/2 t0,2(4,4,3) | t {4,6}1/2 t0,1,2(4,4,3) | lar {4,6}1/2 s (4,4,3) | soat {4,6}1/2 soat (4,3,4) | soat {4,6}1/2 h (4,3,4) | q {4,6} h1(4,3,4) |
| Yagona duallar | ||||||||||
 |  |  |  | |||||||
| V (3,4)4 | V3.8.4.8 | V (4.4)3 | V3.8.4.8 | V (3,4)4 | V4.6.4.6 | V6.8.8 | V3.3.3.4.3.4 | V (4.4.3)2 | V66 | V4.3.4.6.6 |
| Bir xil tetraheksagon plitkalar | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Simmetriya: [6,4], (*642) ([6,6] (* 662), [(4,3,3)] (* 443), [∞, 3, ∞] (* 3222) indeks 2 submetriyalari bilan) (Va [(∞, 3, ∞, 3)] (* 3232) indeks 4 submetriyasi) | |||||||||||
=    = =  | =  | = = = | = | = = =  | = | | |||||
 |  |  |  |  |  |  | |||||
| {6,4} | t {6,4} | r {6,4} | t {4,6} | {4,6} | rr {6,4} | tr {6,4} | |||||
| Yagona duallar | |||||||||||
 | | | | | | | |||||
 |  |  |  |  |  |  | |||||
| V64 | V4.12.12 | V (4.6)2 | V6.8.8 | V46 | V4.4.4.6 | V4.8.12 | |||||
| O'zgarishlar | |||||||||||
| [1+,6,4] (*443) | [6+,4] (6*2) | [6,1+,4] (*3222) | [6,4+] (4*3) | [6,4,1+] (*662) | [(6,4,2+)] (2*32) | [6,4]+ (642) | |||||
= | =  | =   | = | =  | =  | | |||||
|  | |  | |  |  | |||||
| soat {6,4} | s {6,4} | soat {6,4} | lar {4,6} | soat {4,6} | soat {6,4} | sr {6,4} | |||||
Shuningdek qarang
Izohlar
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.
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
