U-tiling: UQC4306
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1158 |
*2244 |
(4,4,2) |
{4,8,4,4} |
{3.6.6.3}{3.6.3.6.3.6.3.6}{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
|
|
sqc2648
|
|
P4/mmm |
123 |
tetragonal |
{4,8,4,4} |
8 |
(4,4) |
|
G
|
False
|
|
sqc8964
|
|
I41/a |
88 |
tetragonal |
{4,8,4,4} |
16 |
(4,5) |
|
D
|
False
|
|
sqc8965
|
|
I41/amd |
141 |
tetragonal |
{4,8,4,4} |
16 |
(4,4) |
Topological data
| Vertex degrees | {4,8,4,4} |
| 2D vertex symbol | {3.6.6.3}{3.6.3.6.3.6.3.6}{6.6.6.6}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<80.1:144:55 3 5 7 9 64 12 14 16 18 73 21 23 25 27 91 30 32 34 36 100 39 41 43 45 82 48 50 52 54 57 59 61 63 66 68 70 72 75 77 79 81 84 86 88 90 93 95 97 99 102 104 106 108 136 111 113 115 117 127 120 122 124 126 129 131 133 135 138 140 142 144,2 57 6 23 8 27 11 66 15 32 17 36 20 75 24 26 29 93 33 35 38 102 42 122 44 126 47 84 51 140 53 144 56 60 86 62 90 65 69 104 71 108 74 78 113 80 117 83 87 89 92 96 131 98 135 101 105 107 110 138 114 116 119 129 123 125 128 132 134 137 141 143,10 4 5 15 16 62 63 13 14 71 72 37 22 23 42 43 80 81 46 31 32 51 52 98 99 40 41 107 108 49 50 89 90 64 58 59 69 70 67 68 100 76 77 105 106 91 85 86 96 97 94 95 103 104 127 112 113 132 133 143 144 136 121 122 141 142 134 135 130 131 139 140:3 6 3 6 3 3 3 6 3 6 6 6 6 6 3 3,4 8 4 4 8 4 4 4 4 4 4 4 4 4 4 4> {(2, 61): 't1', (2, 62): 't1', (2, 52): 't2^-1*tau3', (2, 53): 't2^-1*tau3', (2, 50): 't2^-1', (2, 51): 't2^-1', (2, 44): 't3^-1*tau2^-1', (2, 45): 't2^-1', (2, 41): 't3^-1', (2, 42): 't3^-1', (2, 43): 't3^-1*tau2^-1', (2, 36): 't3^-1', (2, 34): 'tau3*t2^-1', (2, 35): 'tau3*t2^-1', (2, 25): 'tau2^-1*t3^-1', (2, 26): 'tau2^-1*t3^-1', (2, 16): 't1^-1', (2, 17): 't1^-1', (2, 140): 'tau1', (2, 141): 'tau1', (2, 142): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 143): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 132): 'tau1^-1', (2, 133): 't2*tau3^-1*t1^-1*tau2*t3', (2, 134): 't2*tau3^-1*t1^-1*tau2*t3', (2, 131): 'tau1^-1', (2, 126): 'tau1^-1', (2, 117): 'tau1^-1', (2, 104): 't3^-1', (2, 105): 't3^-1', (2, 96): 't2', (2, 99): 't3^-1', (2, 95): 't2', (2, 90): 't2'}