U-tiling: UQC1427
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc921 |
*22222 |
(2,4,4) |
{7,4} |
{4.4.3.4.3.4.4}{3.4.3.4} |
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
|
|
sqc1714
|
|
P4/mmm |
123 |
tetragonal |
{4,6} |
6 |
(2,3) |
|
G
|
False
|
|
sqc8412
|
|
I4122 |
98 |
tetragonal |
{7,4} |
12 |
(2,5) |
|
D
|
False
|
|
sqc2364
|
|
P4222 |
93 |
tetragonal |
{7,4} |
6 |
(2,4) |
Topological data
| Vertex degrees | {7,4} |
| 2D vertex symbol | {4.4.3.4.3.4.4}{3.4.3.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<48.1:144:37 83 84 22 23 8 9 46 65 66 31 32 17 18 55 101 102 26 27 73 92 93 35 36 119 120 58 59 44 45 110 111 76 77 53 54 137 138 62 63 109 94 95 71 72 128 129 80 81 118 103 104 89 90 127 98 99 136 107 108 130 131 116 117 139 140 125 126 134 135 143 144,2 4 6 25 26 18 11 13 15 34 35 20 22 24 36 29 31 33 38 40 42 61 62 72 47 49 51 79 80 90 56 58 60 99 65 67 69 97 98 74 76 78 108 83 85 87 106 107 92 94 96 101 103 105 110 112 114 133 134 126 119 121 123 142 143 128 130 132 144 137 139 141,19 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 99 102 104 106 108 127 111 113 115 117 136 120 122 124 126 129 131 133 135 138 140 142 144:4 4 3 4 4 4 3 4 4 4 3 4 4 3 4 3 3 3 4 3,7 4 7 7 4 7 4 7 7 7 4 7> {(1, 98): 'tau2', (0, 39): 't3*tau2', (2, 27): 't1', (2, 117): 't2^-1*tau3*t1', (1, 124): 't3*tau2', (1, 44): 't3', (1, 123): 't2^-1*tau3*t1', (0, 20): 't1^-1', (0, 129): 't1*tau3*t2^-1', (0, 138): 'tau2^-1*t3^-1', (1, 114): 't3^-1*tau2^-1', (0, 22): 't1^-1', (0, 3): 't1', (1, 52): 't2*tau3^-1', (2, 63): 't3^-1*tau2^-1', (1, 61): 'tau2^-1*t3^-1', (1, 143): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 99): 'tau3^-1*t2', (1, 33): 't1', (1, 25): 't1^-1', (0, 135): 't1^-1', (0, 48): 't2*tau3^-1', (1, 35): 't1', (0, 19): 't1^-1', (1, 89): 't2^-1', (0, 127): 't1', (0, 139): 'tau2^-1*t3^-1', (2, 108): 't3^-1*tau2^-1', (0, 128): 't1', (1, 115): 't2*tau3^-1*t1^-1', (1, 105): 'tau3^-1*t2', (0, 130): 't1*tau3*t2^-1', (1, 125): 'tau1', (1, 96): 'tau2*t3', (1, 107): 'tau3^-1', (0, 27): 't1', (0, 49): 't2*tau3^-1', (0, 58): 'tau2^-1*t3^-1', }