U-tiling: UQC5245
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1554 |
*2244 |
(5,4,2) |
{4,3,3,4,4} |
{8.8.8.8}{8.6.8}{8.6.6}{6.6.6.6}... |
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
|
|
sqc9897
|
|
P42/mmc |
131 |
tetragonal |
{4,3,3,4,4} |
24 |
(5,4) |
|
G
|
False
|
|
sqc9885
|
|
I-42d |
122 |
tetragonal |
{4,3,3,4,4} |
24 |
(5,5) |
|
D
|
False
|
|
sqc3888
|
|
P-42m |
111 |
tetragonal |
{3,3,4,4,4} |
12 |
(5,4) |
Topological data
| Vertex degrees | {4,3,3,4,4} |
| 2D vertex symbol | {8.8.8.8}{8.6.8}{8.6.6}{6.6.6.6}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<112.1:160:2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160,61 3 84 25 7 9 30 71 13 94 35 17 19 40 31 23 104 27 29 33 114 37 39 51 43 124 65 47 49 70 53 134 75 57 59 80 63 144 67 69 73 154 77 79 141 83 105 87 89 110 151 93 115 97 99 120 111 103 107 109 113 117 119 131 123 145 127 129 150 133 155 137 139 160 143 147 149 153 157 159,21 22 5 6 87 88 19 20 31 32 15 16 97 98 25 26 107 108 49 50 35 36 117 118 59 60 61 62 45 46 127 128 71 72 55 56 137 138 65 66 147 148 79 80 75 76 157 158 101 102 85 86 99 100 111 112 95 96 105 106 129 130 115 116 139 140 141 142 125 126 151 152 135 136 145 146 159 160 155 156:8 6 8 6 8 8 6 6 6 6 6 6,4 3 3 4 4 3 3 3 4 3 4 3 3 3 3 3 4 3 4 3 4 3 3 3> {(2, 60): 't3^-1', (2, 61): 't3^-1', (1, 124): 'tau1', (2, 58): 't3*tau2*t1^-1', (2, 59): 't3*tau2*t1^-1', (1, 114): 'tau3^-1', (1, 119): 'tau3^-1', (2, 51): 't3*tau2*t3', (1, 104): 't2^-1', (1, 89): 't2', (2, 30): 't1', (1, 90): 't1^-1*tau2*t3', (2, 150): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 151): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 140): 'tau1^-1', (1, 74): 't3^-1*tau2^-1*t3^-1', (2, 11): 't1^-1', (1, 64): 't3^-1', (1, 69): 't3^-1', (1, 59): 't3*tau2*t3', (2, 121): 'tau1', (2, 118): 't1*tau2^-1*t3^-1', (2, 139): 't3*tau2*t1^-1', (2, 110): 'tau3^-1', (2, 50): 't3*tau2*t3', (2, 100): 't2^-1', (2, 101): 't2^-1', (1, 34): 't1', (1, 39): 't1', (1, 154): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 159): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 91): 'tau3', (1, 149): 'tau1^-1', (1, 10): 't1^-1*tau2*t3'}