U-tiling: UQC1020
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc32 |
*2223 |
(1,2,2) |
{6} |
{3.4.4.3.4.4} |
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
|
|
sqc8329
|
|
P4/mmm |
123 |
tetragonal |
{5,6} |
12 |
(2,5) |
|
G
|
False
|
|
sqc8692
|
|
I4122 |
98 |
tetragonal |
{6,6} |
12 |
(2,6) |
|
D
|
False
|
|
sqc2455
|
|
P4222 |
93 |
tetragonal |
{6,6} |
6 |
(2,5) |
Topological data
| Vertex degrees | {6,6} |
| 2D vertex symbol | {4.3.4.4.3.4}{3.4.4.3.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<39.3:144:19 4 5 24 43 44 27 28 13 14 33 52 53 36 22 23 61 62 31 32 79 80 55 40 41 60 63 73 49 50 78 81 58 59 91 67 68 96 115 116 99 76 77 100 85 86 105 124 125 108 94 95 133 134 103 104 142 143 127 112 113 132 135 136 121 122 141 144 130 131 139 140,2 39 6 7 9 11 48 15 16 18 20 57 24 25 27 29 75 33 34 36 38 42 43 45 47 51 52 54 56 60 61 63 65 111 69 70 72 74 78 79 81 83 120 87 88 90 92 129 96 97 99 101 138 105 106 108 110 114 115 117 119 123 124 126 128 132 133 135 137 141 142 144,82 3 5 15 8 18 64 12 14 17 100 21 23 33 26 36 91 30 32 35 118 39 41 69 44 72 109 48 50 87 53 90 136 57 59 96 62 99 66 68 71 127 75 77 105 80 108 84 86 89 93 95 98 102 104 107 111 113 123 116 126 120 122 125 129 131 141 134 144 138 140 143:4 3 4 4 3 4 3 3 4 4 4 3 4 4 3 4 3 3 4 4,6 6 6 6 6 6 6 6 6 6 6 6> {(0, 134): 'tau2*t3', (2, 53): 't2', (2, 122): 'tau1', (0, 18): 't1^-1', (2, 107): 'tau3^-1', (0, 126): 't1*tau3*t2^-1', (0, 107): 'tau3^-1*t2', (2, 18): 't1^-1', (2, 140): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (1, 101): 't1', (0, 45): 't2*tau3^-1', (0, 131): 't1*tau3*t2^-1', (0, 140): 'tau2^-1*t3^-1', (0, 98): 'tau2*t3', (0, 34): 't1', (2, 41): 't3', (1, 29): 't1', (0, 142): 't1^-1', (0, 59): 'tau2^-1*t3^-1', (0, 17): 't1^-1', (0, 135): 'tau2^-1*t3^-1', (2, 59): 'tau2^-1', (2, 32): 't1', (2, 143): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 50): 't2*tau3^-1', (2, 125): 'tau1', (2, 50): 't2', (0, 33): 't1', (2, 44): 't3', (0, 23): 't1^-1', (0, 141): 't1^-1', (0, 54): 'tau2^-1*t3^-1', (0, 143): 't1^-1*tau3^-1*t2', (2, 62): 'tau2^-1', (2, 35): 't1', (2, 104): 'tau3^-1', (2, 72): 't1^-1', }