U-tiling: UQC2614
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1957 |
*2626 |
(2,5,5) |
{4,4} |
{12.8.3.4}{3.8.6.8} |
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
|
|
sqc9146
|
|
R-3m |
166 |
rhombohedral |
{4,4} |
18 |
(2,5) |
|
G
|
False
|
|
sqc9143
|
|
R-3 |
148 |
rhombohedral |
{4,4,4} |
18 |
(3,6) |
|
D
|
False
|
|
sqc9142
|
|
R-3m |
166 |
rhombohedral |
{4,4} |
18 |
(2,5) |
Topological data
| Vertex degrees | {4,4} |
| 2D vertex symbol | {12.8.3.4}{3.8.6.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<23.2:144:13 14 5 6 127 128 117 118 35 36 17 18 139 140 105 106 47 48 49 50 29 30 91 92 141 142 61 62 41 42 79 80 129 130 53 54 115 116 69 70 83 84 65 66 103 104 95 96 97 98 77 78 93 94 109 110 89 90 101 102 131 132 113 114 143 144 133 134 125 126 137 138,25 3 28 7 12 9 11 37 15 40 19 24 21 23 27 31 36 33 35 39 43 48 45 47 73 51 76 55 60 57 59 85 63 88 67 72 69 71 75 79 84 81 83 87 91 96 93 95 121 99 124 103 108 105 107 133 111 136 115 120 117 119 123 127 132 129 131 135 139 144 141 143,2 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 8 3 12 4 3 4 8 8 3 4 3 3 3,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(0, 103): 't2^-1', (0, 18): 't1^-1', (0, 8): 'tau2^-1', (0, 55): 't3', (0, 45): 'tau3', (0, 19): 't1^-1', (0, 92): 'tau1^-1', (0, 9): 'tau2^-1', (0, 30): 't3', (0, 42): 't2', (0, 56): 'tau1', (0, 93): 'tau1^-1', (0, 6): 't1^-1', (0, 31): 't3', (0, 43): 't2', (0, 20): 'tau3', (0, 32): 'tau2^-1', (0, 57): 'tau1', (0, 7): 't1^-1', (0, 102): 't2^-1', (0, 21): 'tau3', (0, 33): 'tau2^-1', (0, 54): 't3', (0, 44): 'tau3', }