U-tiling: UQC1058
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc990 |
*22222 |
(2,5,3) |
{6,3} |
{4.6.4.4.6.4}{6.4.4} |
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
|
|
sqc2115
|
|
P4/mmm |
123 |
tetragonal |
{5,3} |
8 |
(2,4) |
|
G
|
False
|
|
sqc8614
|
|
I4122 |
98 |
tetragonal |
{3,6} |
16 |
(2,6) |
|
D
|
False
|
|
sqc2667
|
|
P4222 |
93 |
tetragonal |
{3,6} |
8 |
(2,5) |
Topological data
| Vertex degrees | {6,3} |
| 2D vertex symbol | {4.6.4.4.6.4}{6.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<36.4:144:10 4 5 15 88 89 45 13 14 70 71 54 28 22 23 33 106 107 63 31 32 97 98 81 64 40 41 69 124 125 82 49 50 87 115 116 91 58 59 96 142 143 67 68 117 100 76 77 105 133 134 85 86 126 94 95 135 103 104 144 118 112 113 123 121 122 136 130 131 141 139 140,2 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 99 101 105 106 108 110 129 114 115 117 119 138 123 124 126 128 132 133 135 137 141 142 144,19 3 5 24 8 27 28 12 14 33 17 36 21 23 26 30 32 35 55 39 41 60 44 63 73 48 50 78 53 81 57 59 62 91 66 68 96 71 99 75 77 80 100 84 86 105 89 108 93 95 98 102 104 107 127 111 113 132 116 135 136 120 122 141 125 144 129 131 134 138 140 143:4 6 4 6 4 4 4 4 4 6 4 6 4 4 4 4,3 6 3 6 3 6 3 6 3 6 3 6 3 6 3 6> {(0, 99): 'tau3^-1', (2, 86): 't2^-1*tau3', (0, 107): 't1', (0, 41): 't3', (2, 45): 't2*tau3^-1', (0, 117): 'tau1', (1, 110): 't2*tau3^-1*t1^-1', (2, 18): 't1^-1', (2, 135): 'tau2^-1*t3^-1', (2, 140): 't1^-1*tau3^-1*t2', (0, 32): 't1', (0, 45): 't2', (0, 140): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 24): 't1^-1', (2, 131): 'tau2*t3', (0, 78): 't1^-1', (0, 59): 'tau2^-1', (0, 133): 't1', (1, 20): 't1^-1', (0, 135): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 54): 'tau2^-1*t3^-1', (1, 56): 'tau2^-1*t3^-1', (2, 32): 't1', (2, 143): 't1^-1*tau3^-1*t2', (0, 50): 't2', (0, 63): 't3^-1', (0, 104): 'tau3^-1', (1, 119): 't3*tau2', (2, 98): 'tau2*t3', (2, 107): 'tau3^-1*t2', (0, 106): 't1', (2, 134): 'tau2*t3', (0, 54): 'tau2^-1', (0, 35): 't1', (2, 95): 'tau2*t3', (1, 74): 'tau3*t2^-1', (2, 126): 't1*tau3*t2^-1', (2, 35): 't1', (0, 27): 't1', (0, 122): 'tau1', }