U-tiling: UQC1193
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1043 |
*22222 |
(2,5,3) |
{5,4} |
{4.8.3.8.4}{8.8.3.3} |
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
|
|
sqc9083
|
|
P4/mmm |
123 |
tetragonal |
{5,4} |
16 |
(2,5) |
|
G
|
False
|
|
sqc9084
|
|
I4122 |
98 |
tetragonal |
{5,4} |
16 |
(2,6) |
|
D
|
False
|
|
sqc3005
|
|
P4222 |
93 |
tetragonal |
{5,4} |
8 |
(2,5) |
Topological data
| Vertex degrees | {5,4} |
| 2D vertex symbol | {4.8.3.8.4}{8.8.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<45.5:144:19 38 39 6 7 89 18 28 47 48 15 16 71 56 57 24 25 107 36 74 75 33 34 98 55 42 43 125 72 73 51 52 116 90 60 61 143 99 91 110 111 69 70 78 79 134 108 100 119 120 87 88 128 129 96 97 137 138 105 106 127 114 115 126 136 123 124 132 133 144 141 142,2 4 14 8 9 11 13 17 18 20 22 32 26 27 29 31 35 36 38 40 68 44 45 47 49 86 53 54 56 58 95 62 63 65 67 71 72 74 76 104 80 81 83 85 89 90 92 94 98 99 101 103 107 108 110 112 122 116 117 119 121 125 126 128 130 140 134 135 137 139 143 144,10 3 5 7 26 27 12 14 16 35 36 28 21 23 25 30 32 34 64 39 41 43 62 63 82 48 50 52 80 81 91 57 59 61 66 68 70 98 99 100 75 77 79 84 86 88 107 108 93 95 97 102 104 106 118 111 113 115 134 135 120 122 124 143 144 136 129 131 133 138 140 142:4 8 3 4 8 8 3 8 3 3 3 4 3 4 3 3,5 4 4 5 5 4 5 4 5 4 5 4 5 4 4 5> {(0, 99): 'tau3^-1*t2', (1, 85): 't2^-1', (0, 29): 't1', (0, 126): 'tau2*t3', (2, 53): 't2*tau3^-1', (1, 121): 'tau1', (2, 25): 't1^-1', (2, 45): 't2', (0, 53): 't2', (0, 62): 'tau2^-1', (0, 107): 'tau3^-1', (2, 18): 't1^-1', (0, 27): 't1', (1, 40): 't3', (0, 136): 't1^-1', (2, 63): 't3^-1', (1, 103): 'tau3^-1', (0, 133): 't1', (2, 8): 't1', (2, 61): 'tau2^-1*t3^-1', (0, 135): 't1^-1*tau3^-1*t2', (2, 54): 'tau2^-1', (0, 125): 'tau1', (1, 139): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (1, 22): 't1^-1', (0, 28): 't1', (0, 137): 't1^-1', (2, 52): 't2*tau3^-1', (0, 63): 't3^-1*tau2^-1', (2, 125): 't3*tau2', (2, 108): 'tau1^-1', (2, 126): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (2, 134): 't1*tau3*t2^-1', (0, 35): 't1', (0, 44): 't3', (0, 25): 't1^-1', (2, 142): 'tau2^-1*t3^-1', (0, 143): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 62): 'tau2^-1*t3^-1', (2, 99): 'tau3^-1', (1, 94): 'tau2', (2, 115): 't2*tau3^-1*t1^-1', }