超無限面形
{{Infobox polyhedron | name = 雙曲無限面形 | imagename = H2 tiling 22i-4.png | caption = 龐加萊圓盤模型 | Type = 雙曲鑲嵌 | Coxeter_diagram = | Schläfli = {2,iπ/λ} | Wythoff = 2 | iπ/λ 22 2 | iπ/λ | Symmetry_group = [iπ/λ,2], (∞22) | Rot…
标签：#雙曲面鑲嵌
共 41 篇文章
四階無限邊形鑲嵌
{{Infobox polyhedron | name = 四階無限邊形鑲嵌 | imagename = H2 tiling 24i-1.png | caption = 龐加萊圓盤模型 | Type = 雙曲正鑲嵌 | Coxeter_diagram = | Schläfli = {∞,4} r{∞,∞}t{(∞,∞,∞)} t0,1,2,3{(∞,∞,∞,∞)} | Wythoff = 4 | ∞ 22 | ∞ ∞∞ ∞ | ∞ | …
四階六邊形鑲嵌
{{Infobox polyhedron | name = 四階六邊形鑲嵌 | imagename = H2 tiling 246-1.png | caption = 龐加萊圓盤模型 | Type = 雙曲正鑲嵌 | Coxeter_diagram = | Vertice_type = 64 | Schläfli = {6,4} | Wythoff = 4 | 6 2 | Rotation_group = [6,4]+, (642) |…
四階五邊形鑲嵌
{{Infobox polyhedron | name = 四階五邊形鑲嵌 | imagename = H2 tiling 245-1.png | caption = 龐加萊圓盤模型 | Type = 雙曲正鑲嵌 | Coxeter_diagram = | Vertice_type = 5.5.5.5 | Schläfli = {5,4}r{5,5} | Wythoff = 4 | 5 22 | 5 5| | Rotation_grou…
七階三角形鑲嵌
{{Infobox polyhedron | name = 七階三角形鑲嵌 | imagename = Order-7 triangular tiling.svg | caption = 龐加萊圓盤模型 | Type = 雙曲正鑲嵌 | Coxeter_diagram = | Vertice_type = 37 | Schläfli = {3,7} | Wythoff = 7 | 3 2 | Symmetry_group = [7,3]…
過截角超無限邊形鑲嵌
{{Infobox polyhedron | name = 過截角超無限邊形鑲嵌 | polyhedron = 過截角超無限邊形鑲嵌 | imagename = H2_tiling_22i-6.png | caption = 龐加萊圓盤模型 | Type = 半正鑲嵌雙曲面鑲嵌 | Coxeter_diagram = 視為柱體： | Face_type = 2個超無限邊形 無窮個正方形 | Vertice_type = 4.4.∞ | …
五階六邊形鑲嵌
{{Infobox polyhedron | name = 五階六邊形鑲嵌 | imagename = H2 tiling 256-1.png | caption = 龐加萊圓盤模型 | Type = 雙曲正鑲嵌 | Coxeter_diagram = | Vertice_type = 65 | Schläfli = {6,5} | Wythoff = 5 | 6 2| | Rotation_group = [6,5]+, (652) …
二分之七階七邊形鑲嵌
{{Infobox polyhedron | name = 二分之七階七邊形鑲嵌 | imagename = Hyperbolic_tiling_7_7-2.png | caption = 龐加萊圓盤模型 | Type = 雙曲正星形鑲嵌 | Coxeter_diagram = | Vertice_type = 77/2 | Schläfli = {7,7/2} | Wythoff = 7/2 | 7 2 | Symmetry_grou…
交錯八邊形鑲嵌
{{Infobox polyhedron | name = 交錯八邊形鑲嵌 | polyhedron = 交錯八邊形鑲嵌 | imagename = Uniform tiling 433-t0.png | caption = 龐加萊圓盤模型 | Type = 雙曲半正鑲嵌 雙曲鑲嵌 | Coxeter_diagram = | Face_type = 三角形 正方形 | Vertice_type = | Vertice_configura…
正八邊形鑲嵌
{{Infobox polyhedron | name = 正八邊形鑲嵌 | polyhedron = 正八邊形鑲嵌 | imagename = H2 tiling 238-1.png | caption = 龐加萊圓盤模型 | Type = 雙曲正鑲嵌 雙曲鑲嵌 | Coxeter_diagram = | Face_type = 正八邊形 | Vertice_type = 8.8.8 83 | Vertice_configuratio…
圓極限IV
圓極限IV又稱天堂和地獄（）是M. C. 埃舍爾（M. C. Escher，又譯艾雪）在1960年7月完成的木刻版畫。是艾雪一系列圓極限題作的四樣作品的其中之一，表達了對於龐加萊所描述的雙曲空間的感受。荷蘭數學物理學家布魯諾·恩斯特稱它是“最好的四個”，其中圓極限IV被認為是埃舍爾最具有大師風範的作品之一。 該作品中包含了天使與蝙蝠，天使代表了天堂，蝙蝠象徵著惡魔，代表地獄，並以八角化六階正方形鑲嵌的對稱性繪製重複無窮次於雙曲龐加萊圓盤…
七階七角星鑲嵌
{{Infobox polyhedron | name = 七階七角星鑲嵌 | imagename = Hyperbolic_tiling_7-2_7.png | caption = 龐加萊圓盤模型 | Type = 雙曲正星形鑲嵌 | Coxeter_diagram = | Vertice_type = (7/2)7 | Schläfli = {7/2,7} | Wythoff = 7 | 7/2 2 | Symmetry_group…
正七邊形鑲嵌
{{Infobox polyhedron | name = 正七邊形鑲嵌 | imagename = H2 tiling 237-1.png | caption = 龐加萊圓盤模型 | Type = 雙曲正鑲嵌 | Coxeter_diagram = | Vertice_type = 73 | Schläfli = {7,3} | Wythoff = 3 | 7 2 | Symmetry_group = [7,3], (732) | d…
五階正方形鑲嵌
{{Infobox polyhedron | name = 五階正方形鑲嵌 | imagename = H2-5-4-primal.svg | caption = 龐加萊圓盤模型 | Type = 雙曲正鑲嵌 | Coxeter_diagram = | Vertice_type = 45 | Schläfli = {4,5} | Wythoff = 5 | 4 2 | Rotation_group = [5,4]+, (542) | S…
七階正方形鑲嵌
{{Infobox polyhedron | name = 七階正方形鑲嵌 | imagename = H2_tiling_247-4.png | caption = 龐加萊圓盤模型 | Type = 雙曲正鑲嵌 | Coxeter_diagram = | Vertice_type = 47 | Schläfli = {4,7} | Wythoff = 7 | 4 2 | Rotation_group = [7,4]+, (742) |…
無限階五邊形鑲嵌
{{Infobox polyhedron | name = 無限階五邊形鑲嵌 | imagename = H2 tiling 25i-4.png | caption = 龐加萊圓盤模型 | Type = 雙曲正鑲嵌 | Coxeter_diagram = | Vertice_type = 5∞ | Schläfli = {5,∞} | Wythoff = ∞ | 5 2 | Symmetry_group = [∞,5], (∞52) |…
無限階無限邊形鑲嵌
{{Infobox polyhedron | name = 無限階無限邊形鑲嵌 | imagename = H2 tiling 2ii-1.png | caption = 龐加萊圓盤模型 | Type = 雙曲正鑲嵌 | Coxeter_diagram = | Schläfli = {∞,∞} | Wythoff = ∞ | ∞ 2 ∞ ∞ | ∞ | Symmetry_group = [∞,∞], (∞∞2) [(∞,∞,∞)] ,(…
三階無限邊形鑲嵌
{{Infobox polyhedron | name = 三階無限邊形鑲嵌 | imagename = H2 tiling 23i-1.png | caption = 龐加萊圓盤模型 | Type = 雙曲正鑲嵌 | Coxeter_diagram = | Schläfli = {∞,3} t{∞,∞} tr(∞,∞,∞) | Wythoff = 3 | ∞ 2 2 ∞ | ∞ ∞ ∞ ∞ | | Symmetry_group = […
無限階三角形鑲嵌
{{Infobox polyhedron | name = 無限階三角形鑲嵌 | imagename = H2 tiling 23i-4.png | caption = 龐加萊圓盤模型 | Type = 雙曲正鑲嵌 | Coxeter_diagram = | Vertice_type = 3∞ | Schläfli = {3,∞} | Wythoff = ∞ | 3 2 | Symmetry_group = [∞,3], (∞32) |…
五階五邊形鑲嵌
{{Infobox polyhedron | name = 五階五邊形鑲嵌 | imagename = H2 tiling 255-1.png | caption = 龐加萊圓盤模型 | Type = 雙曲正鑲嵌 | Coxeter_diagram = | Vertice_type = 55 | Schläfli = {5,5} | Wythoff = 5 | 5 2| | Rotation_group = [5,5]+, (552) …