U-tiling: UQC1102
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1003 |
*22222 |
(2,4,3) |
{3,6} |
{4.8.6}{6.8.8.6.8.8} |
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
|
|
sqc9042
|
|
P4/mmm |
123 |
tetragonal |
{6,3} |
20 |
(2,4) |
|
G
|
False
|
|
sqc9043
|
|
I4122 |
98 |
tetragonal |
{6,3,3} |
20 |
(3,5) |
|
D
|
False
|
|
sqc2986
|
|
P4222 |
93 |
tetragonal |
{3,6} |
10 |
(2,4) |
Topological data
| Vertex degrees | {6,3} |
| 2D vertex symbol | {4.8.6}{6.8.8.6.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<1.1:144:37 4 5 87 88 26 27 46 13 14 69 70 35 36 55 22 23 105 106 73 31 32 96 97 40 41 123 124 62 63 49 50 114 115 80 81 58 59 141 142 109 67 68 98 99 76 77 132 133 118 85 86 107 108 127 94 95 136 103 104 112 113 134 135 121 122 143 144 130 131 139 140,2 12 6 9 8 11 15 18 17 20 30 24 27 26 29 33 36 35 38 66 42 45 44 47 84 51 54 53 56 93 60 63 62 65 69 72 71 74 102 78 81 80 83 87 90 89 92 96 99 98 101 105 108 107 110 120 114 117 116 119 123 126 125 128 138 132 135 134 137 141 144 143,19 3 5 7 9 28 12 14 16 18 21 23 25 27 30 32 34 36 55 39 41 43 45 73 48 50 52 54 57 59 61 63 91 66 68 70 72 75 77 79 81 100 84 86 88 90 93 95 97 99 102 104 106 108 127 111 113 115 117 136 120 122 124 126 129 131 133 135 138 140 142 144:8 6 4 8 4 8 8 6 4 6 4 6,6 3 3 3 3 6 3 6 3 3 3 3 3 3 3 6 3 3 3 3> {(2, 27): 't1', (0, 62): 'tau2^-1*t3^-1', (2, 135): 't1^-1*tau3^-1*t2', (1, 83): 't2^-1', (1, 29): 't1', (0, 133): 't1*tau3*t2^-1', (2, 108): 't3^-1*tau2^-1', (0, 26): 't1^-1', (1, 56): 'tau2^-1', (0, 52): 't2*tau3^-1', (0, 23): 't1^-1', (2, 99): 'tau3^-1*t2', (0, 27): 't1', (0, 134): 't1*tau3*t2^-1', (0, 53): 't2*tau3^-1', (1, 101): 'tau3^-1', (1, 137): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 63): 't3^-1*tau2^-1', (0, 24): 't1^-1', (0, 142): 'tau2^-1*t3^-1', (0, 61): 'tau2^-1*t3^-1', (1, 119): 'tau1', (1, 65): 't3^-1', (0, 77): 't1^-1', (0, 99): 't1', (0, 25): 't1^-1', (0, 143): 'tau2^-1*t3^-1', (0, 132): 't1', }