U-tiling: UQC4032
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1130 |
*22222 |
(3,5,2) |
{4,4,3} |
{10.10.10.10}{10.4.4.10}{10.4.4} |
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
|
|
sqc9153
|
|
P4/mmm |
123 |
tetragonal |
{4,4,3} |
20 |
(3,5) |
|
G
|
False
|
|
sqc9152
|
|
I4122 |
98 |
tetragonal |
{4,4,3} |
20 |
(3,6) |
|
D
|
False
|
|
sqc2936
|
|
P4222 |
93 |
tetragonal |
{4,3,4} |
10 |
(3,5) |
Topological data
| Vertex degrees | {4,4,3} |
| 2D vertex symbol | {10.10.10.10}{10.4.4.10}{10.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<47.3:144:82 3 5 7 26 27 64 12 14 16 35 36 100 21 23 25 91 30 32 34 118 39 41 43 62 63 109 48 50 52 80 81 136 57 59 61 66 68 70 98 99 127 75 77 79 84 86 88 107 108 93 95 97 102 104 106 111 113 115 134 135 120 122 124 143 144 129 131 133 138 140 142,2 4 41 8 9 11 13 50 17 18 20 22 59 26 27 29 31 77 35 36 38 40 44 45 47 49 53 54 56 58 62 63 65 67 113 71 72 74 76 80 81 83 85 122 89 90 92 94 131 98 99 101 103 140 107 108 110 112 116 117 119 121 125 126 128 130 134 135 137 139 143 144,19 11 12 6 7 17 45 28 15 16 54 29 30 24 25 35 63 33 34 81 55 65 66 42 43 71 73 83 84 51 52 89 92 93 60 61 98 91 69 70 117 101 102 78 79 107 100 87 88 126 96 97 135 105 106 144 127 119 120 114 115 125 136 123 124 137 138 132 133 143 141 142:10 4 10 4 10 10 4 4 4 4 4 4,4 4 3 3 4 3 3 4 4 4 4 4 3 4 3 3 3 4 4 4> {(2, 61): 'tau2^-1', (2, 56): 'tau2^-1', (2, 52): 't2', (2, 54): 'tau2^-1*t3^-1', (2, 55): 'tau2^-1', (2, 45): 't2*tau3^-1', (2, 46): 't2', (2, 47): 't2', (2, 43): 't3', (2, 37): 't3', (2, 38): 't3', (1, 103): 't1', (2, 35): 't1', (2, 28): 't1', (2, 29): 't1', (2, 25): 't1^-1', (0, 18): 't1^-1', (0, 16): 't1^-1', (0, 17): 't1^-1', (2, 18): 't1^-1', (2, 142): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 143): 't1^-1', (2, 136): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (1, 76): 't1^-1', (2, 135): 'tau2^-1*t3^-1', (0, 143): 't1^-1*tau3^-1*t2', (2, 124): 'tau1', (2, 126): 't1*tau3*t2^-1', (0, 124): 't2^-1*tau3*t1', (0, 115): 't3^-1*tau2^-1', (2, 118): 'tau1', (2, 119): 'tau1', (2, 137): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 116): 't3^-1*tau2^-1', (0, 106): 'tau3^-1*t2', (2, 106): 'tau3^-1', (2, 100): 'tau3^-1', (0, 89): 't2^-1*tau3', (0, 72): 't1^-1', (2, 74): 'tau3', (0, 70): 't3^-1*tau2^-1', (0, 71): 't3^-1*tau2^-1'}