U-tiling: UQC2592
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
|
|
sqc8904
|
|
R-3m |
166 |
rhombohedral |
{8,4} |
15 |
(2,5) |
|
G
|
False
|
|
sqc8901
|
|
R-3 |
148 |
rhombohedral |
{8,4,4} |
15 |
(3,6) |
|
D
|
False
|
|
sqc8900
|
|
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
<24.1:144:121 122 5 6 127 128 21 22 35 36 133 134 17 18 139 140 47 48 85 86 29 30 91 92 57 58 73 74 41 42 79 80 69 70 109 110 53 54 115 116 83 84 97 98 65 66 103 104 95 96 77 78 105 106 89 90 117 118 101 102 131 132 113 114 143 144 125 126 141 142 137 138,109 3 28 7 12 9 11 97 15 40 19 24 21 23 133 27 31 36 33 35 121 39 43 48 45 47 61 51 76 55 60 57 59 63 88 67 72 69 71 85 75 79 84 81 83 87 91 96 93 95 99 124 103 108 105 107 111 136 115 120 117 119 123 127 132 129 131 135 139 144 141 143,2 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 4 3 4 4 4 4 4 3 4 3 3 3,8 4 8 4 4 4 8 4 4 4 4 4 4 4 4> {(0, 103): 't2^-1', (1, 108): 'tau2', (0, 18): 't1^-1', (0, 1): 't1^-1', (0, 55): 't3', (0, 12): 't1^-1', (1, 60): 'tau1^-1', (0, 48): 't3', (0, 19): 't1^-1', (0, 30): 't3', (0, 42): 't2', (0, 13): 't1^-1', (0, 49): 't3', (1, 24): 'tau2^-1', (0, 6): 't1^-1', (0, 60): 't2', (0, 31): 't3', (0, 43): 't2', (1, 120): 'tau3^-1', (0, 24): 't3', (0, 36): 't2', (1, 84): 'tau1^-1', (0, 7): 't1^-1', (0, 61): 't2', (0, 102): 't2^-1', (1, 12): 'tau3', (0, 0): 't1^-1', (0, 54): 't3', (0, 25): 't3', (0, 37): 't2', }