U-tiling: UQC2665
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc219 |
*446 |
(2,3,3) |
{3,12} |
{4.4.4}{4.6.4.4.6.4.4.6.4.4.6.4} |
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
|
|
sqc8540
|
|
Pm-3m |
221 |
cubic |
{3,12} |
15 |
(2,3) |
|
G
|
False
|
|
sqc8534
|
|
R-3 |
148 |
rhombohedral |
{12,3,3} |
15 |
(3,6) |
|
D
|
False
|
|
sqc8540
|
|
Pm-3m |
221 |
cubic |
{3,12} |
15 |
(2,3) |
Topological data
| Vertex degrees | {12,3} |
| 2D vertex symbol | {4.4.4}{4.6.4.4.6.4.4.6.4.4.6.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<28.1:144:121 122 5 6 127 128 21 22 23 24 133 134 17 18 139 140 85 86 29 30 91 92 57 58 59 60 73 74 41 42 79 80 69 70 71 72 109 110 53 54 115 116 97 98 65 66 103 104 77 78 105 106 107 108 89 90 117 118 119 120 101 102 113 114 125 126 141 142 143 144 137 138,109 3 11 7 10 9 36 97 15 23 19 22 21 48 133 27 35 31 34 33 121 39 47 43 46 45 61 51 59 55 58 57 84 63 71 67 70 69 96 85 75 83 79 82 81 87 95 91 94 93 99 107 103 106 105 132 111 119 115 118 117 144 123 131 127 130 129 135 143 139 142 141,2 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 4 4 6 4 4 4 4 4 4 4 4 4 4 4 4,12 3 12 3 3 3 12 3 3 3 3 3 3 3 3> {(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', }