U-tiling: UQC2593
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1943 |
*2626 |
(2,5,5) |
{4,8} |
{4.4.3.12}{3.4.6.4.3.4.6.4} |
s-nets
3 records listed.
| Surface |
Edge collapse |
Image |
s-net name |
Other names |
Space group |
Space group number |
Symmetry class |
Vertex degree(s) |
Vertices per primitive unit cell |
Transitivity (Vertex, Edge) |
|
P
|
False
|
|
sqc8900
|
|
R-3m |
166 |
rhombohedral |
{8,4} |
15 |
(2,5) |
|
G
|
False
|
|
sqc8898
|
|
R-3 |
148 |
rhombohedral |
{8,4,4} |
15 |
(3,6) |
|
D
|
False
|
|
sqc8904
|
|
R-3m |
166 |
rhombohedral |
{8,4} |
15 |
(2,5) |
Topological data
| Vertex degrees | {8,4} |
| 2D vertex symbol | {4.4.3.12}{3.4.6.4.3.4.6.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<24.2:144:13 14 5 6 19 20 129 130 119 120 17 18 141 142 107 108 49 50 29 30 55 56 93 94 143 144 61 62 41 42 67 68 81 82 131 132 53 54 117 118 71 72 65 66 105 106 97 98 77 78 103 104 95 96 109 110 89 90 115 116 101 102 113 114 133 134 125 126 139 140 137 138,25 3 112 7 12 9 11 37 15 100 19 24 21 23 27 136 31 36 33 35 39 124 43 48 45 47 73 51 64 55 60 57 59 85 63 67 72 69 71 75 88 79 84 81 83 87 91 96 93 95 121 99 103 108 105 107 133 111 115 120 117 119 123 127 132 129 131 135 139 144 141 143,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144:6 4 3 4 12 3 4 3 4 4 3 4 3 4 3 4 4,8 4 8 4 4 4 8 4 4 4 4 4 4 4 4> {(0, 94): 'tau1^-1', (0, 95): 'tau1^-1', (0, 8): 't1^-1', (1, 123): 'tau3^-1', (0, 45): 't2', (0, 22): 'tau3', (0, 34): 'tau2^-1', (0, 59): 'tau1', (1, 99): 'tau3^-1', (0, 9): 't1^-1', (0, 104): 't2^-1', (1, 111): 'tau2', (0, 23): 'tau3', (0, 35): 'tau2^-1', (0, 56): 't3', (0, 46): 'tau3', (1, 63): 'tau1^-1', (0, 105): 't2^-1', (0, 20): 't1^-1', (0, 10): 'tau2^-1', (0, 32): 't3', (0, 57): 't3', (0, 47): 'tau3', (1, 75): 'tau1', (0, 21): 't1^-1', (1, 27): 'tau2^-1', (0, 11): 'tau2^-1', (0, 33): 't3', (0, 44): 't2', (0, 58): 'tau1', }