U-tiling: UQC459
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc228 |
*2323 |
(2,2,3) |
{8,4} |
{3.3.6.3.3.3.6.3}{3.6.3.6} |
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
|
|
sqc8959
|
|
P4232 |
208 |
cubic |
{4,8} |
12 |
(2,2) |
|
G
|
False
|
|
sqc8970
|
|
I213 |
199 |
cubic |
{4,8} |
12 |
(2,3) |
|
D
|
False
|
|
sqc8971
|
xbi
|
Fm-3m |
225 |
cubic |
{4,8} |
12 |
(2,2) |
Topological data
| Vertex degrees | {8,4} |
| 2D vertex symbol | {3.3.6.3.3.3.6.3}{3.6.3.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<16.1:144:3 4 11 12 9 10 15 16 29 30 21 22 35 36 27 28 33 34 39 40 53 54 45 46 59 60 51 52 57 58 63 64 101 102 69 70 107 108 75 76 113 114 81 82 125 126 87 88 131 132 93 94 137 138 99 100 105 106 111 112 117 118 143 144 123 124 129 130 135 136 141 142,19 8 45 5 18 31 93 11 42 73 26 69 17 32 87 23 84 109 123 29 54 111 35 102 127 50 117 41 61 56 47 72 85 63 53 97 135 59 132 98 65 126 115 104 71 110 129 77 138 133 122 105 83 128 89 108 121 134 95 120 141 101 139 107 113 144 140 119 125 131 137 143,2 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 3 3 6 6 3 3 3 3 3 3 6 3 3 3 3 3 3 3 3,4 8 8 4 8 8 8 4 4 8 4 4> {(0, 124): 'tau2', (0, 136): 'tau1^-1', (1, 114): 't2^-1', (1, 104): 'tau3*t1', (1, 60): 't1', (0, 59): 'tau3^-1', (1, 20): 't1^-1', (0, 125): 'tau2', (0, 137): 'tau1^-1', (1, 55): 'tau3^-1', (1, 91): 'tau1', (1, 113): 'tau1^-1', (1, 102): 't2', (1, 107): 'tau3', (1, 98): 'tau2*t3*tau1^-1', (1, 121): 'tau2', (1, 110): 't3^-1', (1, 56): 't2^-1', (1, 101): 'tau2', (1, 120): 't3^-1', (1, 78): 'tau2^-1*t3^-1*tau1', (1, 74): 't2', (1, 96): 't1*tau3', (0, 58): 'tau3^-1', }