U-tiling: UQC447
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc215 |
*2323 |
(2,3,3) |
{3,6} |
{3.8.8}{8.3.8.8.3.8} |
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
|
|
sqc8996
|
|
P4232 |
208 |
cubic |
{3,6} |
18 |
(2,3) |
|
G
|
False
|
|
sqc8995
|
|
I213 |
199 |
cubic |
{3,6} |
18 |
(2,3) |
|
D
|
False
|
|
sqc8986
|
|
F-43m |
216 |
cubic |
{3,6} |
18 |
(2,3) |
Topological data
| Vertex degrees | {3,6} |
| 2D vertex symbol | {3.8.8}{8.3.8.8.3.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<15.1:144:3 44 16 17 48 9 92 40 41 96 15 68 72 21 86 82 83 90 27 122 52 53 126 33 110 100 101 114 39 116 120 45 70 71 51 62 66 57 134 130 131 138 63 124 125 69 75 128 136 137 132 81 104 108 87 106 107 93 118 119 99 140 144 105 111 142 143 117 123 129 135 141,2 4 11 24 8 10 36 14 16 29 78 20 22 35 26 28 114 32 34 38 40 53 132 44 46 59 66 50 52 90 56 58 102 62 64 101 68 70 107 120 74 76 113 80 82 125 138 86 88 131 92 94 137 126 98 100 104 106 144 110 112 116 118 143 122 124 128 130 134 136 140 142,19 6 21 5 31 12 33 11 73 18 75 17 24 23 109 30 111 29 36 35 127 42 129 41 61 48 63 47 85 54 87 53 97 60 99 59 66 65 115 72 117 71 78 77 133 84 135 83 90 89 121 96 123 95 102 101 139 108 141 107 114 113 120 119 126 125 132 131 138 137 144 143:8 3 3 8 3 3 8 3 8 8 3 8 3 3,3 6 3 3 6 3 3 6 3 6 3 3 3 6 3 6 3 3> {(0, 103): 'tau3*t1', (2, 120): 't3^-1', (2, 122): 't3^-1', (0, 105): 'tau3', (0, 31): 't3', (2, 78): 'tau2^-1*t3^-1*tau1', (2, 56): 'tau3^-1*t1^-1', (0, 107): 'tau3*t1', (0, 127): 't2^-1', (2, 140): 't2^-1', (0, 55): 't2^-1', (1, 101): 't1*tau3', (0, 34): 'tau2^-1', (0, 131): 't2^-1', (2, 138): 't2^-1', (1, 124): 'tau2', (1, 125): 't3^-1', (0, 142): 'tau1', (0, 59): 't2^-1', (2, 54): 'tau3^-1*t1^-1', (0, 19): 't1^-1', (1, 119): 't2^-1', (1, 58): 'tau3^-1', (2, 116): 't2^-1', (0, 139): 'tau1*t3^-1*tau2^-1', (2, 114): 't2^-1', (0, 33): 'tau2^-1', (0, 106): 'tau3', (0, 23): 't1^-1', (2, 134): 'tau1^-1*t3*tau2', (0, 141): 'tau1', (1, 83): 'tau2^-1*t3^-1*tau1', (0, 35): 't3', (0, 143): 'tau1*t3^-1*tau2^-1', (2, 62): 't1', (1, 107): 't2', (1, 94): 'tau1', (1, 65): 't1', (2, 60): 't1', }