U-tiling: UQC4031
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
|
True
|
|
sqc8323
|
|
P4/mmm |
123 |
tetragonal |
{3,4,3} |
20 |
(3,5) |
|
G
|
False
|
|
sqc8795
|
|
I4122 |
98 |
tetragonal |
{4,4,3} |
20 |
(3,6) |
|
D
|
False
|
|
sqc2501
|
|
P4222 |
93 |
tetragonal |
{4,4,3} |
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
<47.2:144:37 3 5 7 17 18 46 12 14 16 55 21 23 25 35 36 73 30 32 34 39 41 43 71 72 48 50 52 89 90 57 59 61 98 99 109 66 68 70 75 77 79 107 108 118 84 86 88 127 93 95 97 136 102 104 106 111 113 115 125 126 120 122 124 129 131 133 143 144 138 140 142,2 4 23 8 9 11 13 32 17 18 20 22 26 27 29 31 35 36 38 40 59 44 45 47 49 77 53 54 56 58 62 63 65 67 95 71 72 74 76 80 81 83 85 104 89 90 92 94 98 99 101 103 107 108 110 112 131 116 117 119 121 140 125 126 128 130 134 135 137 139 143 144,82 20 21 6 7 26 27 64 29 30 15 16 35 36 100 24 25 91 33 34 118 56 57 42 43 62 63 109 74 75 51 52 80 81 136 60 61 92 93 69 70 98 99 127 78 79 101 102 87 88 107 108 96 97 105 106 128 129 114 115 134 135 137 138 123 124 143 144 132 133 141 142:10 4 10 4 4 4 4 10 4 10 4 4,4 4 3 4 4 3 4 4 3 4 4 3 4 3 4 3 4 3 4 3> {(1, 121): 't2^-1*tau3*t1', (2, 61): 'tau2^-1*t3^-1', (0, 62): 'tau2^-1', (0, 61): 'tau2^-1', (2, 52): 't2*tau3^-1', (1, 112): 't3^-1*tau2^-1', (2, 55): 'tau2^-1*t3^-1', (0, 52): 't2', (0, 53): 't2', (0, 43): 't3', (2, 56): 'tau2^-1*t3^-1', (2, 47): 't2*tau3^-1', (0, 44): 't3', (0, 34): 't1', (0, 35): 't1', (1, 103): 'tau3^-1*t2', (2, 35): 't1', (0, 27): 't1', (2, 25): 't1^-1', (1, 94): 'tau2*t3', (2, 20): 't1^-1', (2, 18): 't1^-1', (2, 19): 't1^-1', (2, 142): 'tau2^-1*t3^-1', (2, 143): 't1^-1*tau3^-1*t2', (2, 136): 'tau2^-1*t3^-1', (2, 137): 'tau2^-1*t3^-1', (2, 133): 't1*tau3*t2^-1', (2, 128): 't1*tau3*t2^-1', (0, 143): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 126): 't1', (2, 127): 't1*tau3*t2^-1', (0, 124): 'tau1', (0, 125): 'tau1', (2, 116): 't3^-1*tau2^-1', (2, 107): 'tau3^-1*t2', (0, 106): 'tau3^-1', (0, 107): 'tau3^-1', (0, 142): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 99): 't1', (2, 98): 'tau2*t3', (1, 31): 't1', (2, 46): 't2*tau3^-1'}