U-tiling: UQC4151
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1512 |
*2244 |
(3,5,2) |
{4,16,8} |
{4.3.3.4}{4.4.3.3.4.4.3.3.4.4.3.... |
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
|
|
sqc9276
|
|
P42/mmc |
131 |
tetragonal |
{4,14,8} |
12 |
(3,5) |
|
G
|
False
|
|
sqc9397
|
|
I-42d |
122 |
tetragonal |
{4,16,8} |
12 |
(3,6) |
|
D
|
False
|
|
sqc3342
|
|
P-42m |
111 |
tetragonal |
{4,8,16} |
6 |
(3,5) |
Topological data
| Vertex degrees | {4,16,8} |
| 2D vertex symbol | {4.3.3.4}{4.4.3.3.4.4.3.3.4.4.3.3.4.4.3.3}{3.3.3.3.3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<9.1:160:81 3 5 7 9 90 91 13 15 17 19 100 101 23 25 27 29 110 111 33 35 37 39 120 121 43 45 47 49 130 131 53 55 57 59 140 141 63 65 67 69 150 151 73 75 77 79 160 83 85 87 89 93 95 97 99 103 105 107 109 113 115 117 119 123 125 127 129 133 135 137 139 143 145 147 149 153 155 157 159,2 10 6 9 8 12 20 16 19 18 22 30 26 29 28 32 40 36 39 38 42 50 46 49 48 52 60 56 59 58 62 70 66 69 68 72 80 76 79 78 82 90 86 89 88 92 100 96 99 98 102 110 106 109 108 112 120 116 119 118 122 130 126 129 128 132 140 136 139 138 142 150 146 149 148 152 160 156 159 158,11 4 5 16 17 28 29 70 14 15 38 39 80 41 24 25 46 47 40 51 34 35 56 57 44 45 68 69 60 54 55 78 79 71 64 65 76 77 74 75 91 84 85 96 97 108 109 150 94 95 118 119 160 121 104 105 126 127 120 131 114 115 136 137 124 125 148 149 140 134 135 158 159 151 144 145 156 157 154 155:4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 3 3 3 3 3 3 3 3,4 16 8 4 4 4 4 16 8 4 4 4> {(2, 56): 't3*tau2*t1^-1', (2, 57): 't3*tau2*t3', (2, 58): 't3*tau2*t3', (2, 55): 't3*tau2*t1^-1', (2, 48): 't3', (2, 50): 't3*tau2*t1^-1', (2, 47): 't3', (2, 37): 't1', (2, 38): 't1', (2, 19): 't1^-1*tau2*t3', (2, 157): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 159): 't3^-1*tau2^-1*t1', (2, 148): 'tau1^-1', (2, 147): 'tau1^-1', (2, 136): 't3*tau2*t1^-1', (2, 138): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (2, 135): 't3*tau2*t1^-1', (2, 130): 't3*tau2*t1^-1', (2, 117): 'tau3^-1', (2, 118): 'tau3^-1', (2, 108): 't2^-1', (2, 107): 't2^-1'}