U-tiling: UQC34
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc4 |
*245 |
(1,1,1) |
{5} |
{4.4.4.4.4} |
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
|
False
|
|
sqc464
|
fee
|
P4/mmm |
123 |
tetragonal |
{5} |
4 |
(1,3) |
|
G
|
False
|
|
sqc9551
|
|
I41/acd |
142 |
tetragonal |
{5} |
16 |
(1,3) |
|
D
|
False
|
|
sqc3580
|
|
P42/nnm |
134 |
tetragonal |
{5} |
8 |
(1,3) |
Topological data
| Vertex degrees | {5} |
| 2D vertex symbol | {4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<5.1:160:6 12 13 24 25 17 18 29 30 16 34 35 44 45 36 32 33 46 42 43 51 52 53 119 120 61 62 63 139 140 149 150 66 72 73 84 85 159 160 87 88 99 100 86 109 110 96 102 103 114 115 91 107 108 129 130 122 123 134 135 127 128 126 144 145 121 131 142 143 136 147 148 154 155 152 153 157 158 151 156,2 4 60 7 9 70 12 14 75 17 19 90 22 24 80 27 29 95 32 34 105 37 39 100 42 44 125 47 49 85 52 54 130 57 59 62 64 110 67 69 72 74 77 79 82 84 87 89 92 94 97 99 102 104 107 109 112 114 140 117 119 135 122 124 127 129 132 134 137 139 142 144 160 147 149 155 152 154 157 159,56 3 5 66 8 10 71 13 15 86 18 20 76 23 25 91 28 30 101 33 35 96 38 40 121 43 45 81 48 50 126 53 55 58 60 106 63 65 68 70 73 75 78 80 83 85 88 90 93 95 98 100 103 105 108 110 136 113 115 131 118 120 123 125 128 130 133 135 138 140 156 143 145 151 148 150 153 155 158 160:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5> {(1, 54): 'tau2^-1', (1, 34): 'tau2^-1', (2, 120): 'tau3^-1', (0, 51): 't3', (0, 121): 't2^-1', (1, 159): 't2^-1*tau3*t1*tau2^-1', (0, 146): 't3', (0, 159): 't2^-1', (0, 62): 't2', (2, 140): 'tau2*t1^-1*tau3^-1*t2', (0, 45): 't2^-1', (0, 150): 'tau1^-1*t3', (2, 10): 't1^-1', (1, 124): 'tau3^-1', (2, 30): 'tau2^-1', (0, 142): 't3^-1', (0, 101): 't3^-1', (0, 154): 't2', (0, 135): 'tau1', (0, 80): 't2^-1', (0, 61): 't2', (0, 102): 't3^-1', (0, 147): 't3', (1, 89): 't1', (2, 15): 't1^-1', (0, 63): 't2', (1, 109): 'tau3^-1', (0, 95): 't3^-1', (2, 50): 'tau2^-1', (2, 145): 'tau2^-1*t1*tau3*t2^-1', (1, 154): 't2*tau3^-1*t1^-1*tau2', (0, 141): 't3^-1', (0, 35): 't3^-1', (0, 153): 't2', (0, 130): 'tau1^-1', (1, 74): 't1', (0, 37): 't3^-1', (0, 122): 't2^-1', (0, 155): 'tau1*t3^-1', (2, 60): 'tau3', }