U-tiling: UQC3870
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1103 |
*22222 |
(3,5,2) |
{8,3,4} |
{3.6.6.3.3.6.6.3}{3.6.6}{6.6.6.6} |
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
|
True
|
|
sqc8267
|
|
P4/mmm |
123 |
tetragonal |
{8,3,3} |
16 |
(3,5) |
|
G
|
False
|
|
sqc8418
|
|
I4122 |
98 |
tetragonal |
{8,3,4} |
16 |
(3,6) |
|
D
|
False
|
|
sqc2502
|
|
P4222 |
93 |
tetragonal |
{4,3,8} |
8 |
(3,5) |
Topological data
| Vertex degrees | {8,3,4} |
| 2D vertex symbol | {3.6.6.3.3.6.6.3}{3.6.6}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<37.4:144:19 3 5 42 8 45 28 12 14 51 17 54 21 23 60 26 63 30 32 78 35 81 55 39 41 44 73 48 50 53 57 59 62 91 66 68 114 71 117 75 77 80 100 84 86 123 89 126 93 95 132 98 135 102 104 141 107 144 127 111 113 116 136 120 122 125 129 131 134 138 140 143,2 21 6 7 9 11 30 15 16 18 20 24 25 27 29 33 34 36 38 57 42 43 45 47 75 51 52 54 56 60 61 63 65 93 69 70 72 74 78 79 81 83 102 87 88 90 92 96 97 99 101 105 106 108 110 129 114 115 117 119 138 123 124 126 128 132 133 135 137 141 142 144,10 4 5 24 25 26 90 13 14 33 34 35 72 28 22 23 108 31 32 99 64 40 41 60 61 62 126 82 49 50 78 79 80 117 91 58 59 144 67 68 96 97 98 100 76 77 135 85 86 105 106 107 94 95 103 104 118 112 113 132 133 134 121 122 141 142 143 136 130 131 139 140:3 6 3 6 6 6 3 3 3 6 3 6 6 6 3 3,8 3 4 3 4 8 3 4 8 3 4 3 3 8 3 3> {(2, 60): 'tau2^-1*t3^-1', (2, 61): 'tau2^-1*t3^-1', (2, 63): 't3^-1', (2, 52): 't2*tau3^-1', (2, 54): 'tau2^-1', (1, 110): 't2*tau3^-1*t1^-1', (0, 54): 'tau2^-1*t3^-1', (1, 119): 't3*tau2', (2, 51): 't2*tau3^-1', (2, 45): 't2', (0, 45): 't2*tau3^-1', (0, 35): 't1', (0, 32): 't1', (2, 32): 't1', (2, 24): 't1^-1', (2, 25): 't1^-1', (2, 26): 't1^-1', (2, 27): 't1', (0, 18): 't1^-1', (2, 140): 't1^-1*tau3^-1*t2', (2, 141): 'tau2^-1*t3^-1', (0, 143): 't1^-1', (0, 140): 't1^-1', (2, 133): 't1*tau3*t2^-1', (2, 134): 't1', (0, 135): 'tau2^-1*t3^-1', (2, 131): 'tau2*t3', (2, 124): 't3*tau2', (1, 56): 'tau2^-1*t3^-1', (2, 126): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (0, 126): 't1*tau3*t2^-1', (2, 117): 'tau1', (2, 114): 't2*tau3^-1*t1^-1', (2, 104): 'tau3^-1*t2', (1, 47): 't2*tau3^-1', (2, 99): 'tau3^-1', (2, 95): 'tau2*t3', (1, 20): 't1^-1'}