U-tiling: UQC1575
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1079 |
*2244 |
(2,4,4) |
{4,10} |
{4.4.3.4}{4.4.4.3.3.4.4.4.3.3} |
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
|
True
|
|
sqc8289
|
|
P42/mmc |
131 |
tetragonal |
{9,4} |
12 |
(2,4) |
|
G
|
False
|
|
sqc8560
|
|
I-42d |
122 |
tetragonal |
{10,4} |
12 |
(2,5) |
|
D
|
False
|
|
sqc2527
|
|
P4/mmm |
123 |
tetragonal |
{10,4} |
6 |
(2,4) |
Topological data
| Vertex degrees | {4,10} |
| 2D vertex symbol | {4.4.3.4}{4.4.4.3.3.4.4.4.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<96.1:144:10 4 5 24 25 26 27 13 14 33 34 35 36 37 22 23 46 31 32 40 41 60 61 62 63 49 50 69 70 71 72 64 58 59 67 68 82 76 77 96 97 98 99 85 86 105 106 107 108 109 94 95 118 103 104 112 113 132 133 134 135 121 122 141 142 143 144 136 130 131 139 140,2 8 13 6 16 63 11 17 15 72 20 26 40 24 43 36 29 35 49 33 52 38 44 42 54 47 53 51 56 62 67 60 70 65 71 69 74 80 85 78 88 135 83 89 87 144 92 98 112 96 115 108 101 107 121 105 124 110 116 114 126 119 125 123 128 134 139 132 142 137 143 141,73 3 5 7 9 82 12 14 16 18 91 21 23 25 27 100 30 32 34 36 109 39 41 43 45 118 48 50 52 54 127 57 59 61 63 136 66 68 70 72 75 77 79 81 84 86 88 90 93 95 97 99 102 104 106 108 111 113 115 117 120 122 124 126 129 131 133 135 138 140 142 144:3 4 4 4 4 3 3 4 4 3 3 4 4 4 4 3 3 4 4 3,10 4 10 10 4 4 10 4 4 4 4 4> {(1, 123): 't3*tau2*t1^-1', (0, 51): 't3*tau2*t3', (0, 60): 't3^-1', (0, 41): 't3', (0, 95): 't2^-1', (0, 53): 't3*tau2*t3', (0, 62): 't3^-1', (0, 107): 'tau3^-1', (1, 120): 't3*tau2*t1^-1', (0, 32): 't1', (0, 45): 't3*tau2*t1^-1', (0, 134): 'tau1^-1', (0, 131): 'tau1^-1', (0, 140): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 98): 't2^-1', (0, 34): 't1', (0, 133): 'tau1^-1', (0, 106): 'tau3^-1', (0, 17): 't1^-1', (0, 124): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (0, 105): 'tau3^-1', (0, 61): 't3^-1', (0, 125): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (1, 89): 't1^-1*tau2*t3', (0, 50): 't3*tau2*t3', (0, 104): 'tau3^-1', (1, 48): 't3*tau2*t1^-1', (0, 96): 't2^-1', (0, 52): 't3*tau2*t3', (0, 33): 't1', (0, 132): 'tau1^-1', (0, 141): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 51): 't3*tau2*t1^-1', (1, 71): 't3^-1*tau2^-1*t1', (0, 79): 't2', (0, 117): 't3*tau2*t1^-1', }