U-tiling: UQC4263
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1095 |
*2244 |
(4,5,2) |
{4,8,4,4} |
{6.6.6.6}{6.6.6.6.6.6.6.6}{6.3.3... |
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
|
|
sqc8337
|
|
P42/mmc |
131 |
tetragonal |
{3,8,4,4} |
16 |
(4,5) |
|
G
|
False
|
|
sqc8758
|
|
I-42d |
122 |
tetragonal |
{4,8,4,4} |
16 |
(4,5) |
|
D
|
False
|
|
sqc2901
|
|
P-42m |
111 |
tetragonal |
{4,4,4,8} |
8 |
(4,5) |
Topological data
| Vertex degrees | {4,8,4,4} |
| 2D vertex symbol | {6.6.6.6}{6.6.6.6.6.6.6.6}{6.3.3.6}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<72.1:144:55 3 5 60 61 9 64 12 14 69 70 18 28 21 23 33 34 27 30 32 36 46 39 41 51 52 45 48 50 54 57 59 63 66 68 72 127 75 77 132 133 81 136 84 86 141 142 90 100 93 95 105 106 99 102 104 108 118 111 113 123 124 117 120 122 126 129 131 135 138 140 144,2 4 6 8 63 11 13 15 17 72 20 22 24 26 36 29 31 33 35 38 40 42 44 54 47 49 51 53 56 58 60 62 65 67 69 71 74 76 78 80 135 83 85 87 89 144 92 94 96 98 108 101 103 105 107 110 112 114 116 126 119 121 123 125 128 130 132 134 137 139 141 143,73 11 12 22 23 7 26 27 82 31 32 16 35 36 91 38 39 25 100 47 48 34 109 58 59 43 62 63 118 67 68 52 71 72 127 65 66 61 136 70 83 84 94 95 79 98 99 103 104 88 107 108 110 111 97 119 120 106 130 131 115 134 135 139 140 124 143 144 137 138 133 142:6 3 6 3 6 3 6 3 6 3 6 3 6 3 6 3,4 8 4 4 4 4 4 4 4 4 8 4 4 4 4 4> {(2, 61): 't3^-1', (2, 62): 't3^-1', (2, 57): 't3^-1', (2, 58): 't3^-1', (2, 52): 't3*tau2*t3', (2, 53): 't3*tau2*t3', (2, 48): 't3*tau2*t3', (2, 49): 't3*tau2*t3', (2, 46): 't3*tau2*t1^-1', (2, 47): 't3*tau2*t1^-1', (2, 34): 't1', (0, 63): 't3^-1*tau2^-1*t1', (1, 89): 't1^-1*tau2*t3', (2, 30): 't1', (2, 31): 't1', (2, 142): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 143): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 14): 't1^-1*tau2*t3', (0, 15): 't1^-1*tau2*t3', (0, 140): 't3^-1*tau2^-1*t1', (0, 141): 't3^-1*tau2^-1*t1', (2, 134): 'tau1^-1', (2, 35): 't1', (2, 129): 'tau1^-1', (2, 130): 'tau1^-1', (2, 119): 't3*tau2*t1^-1', (2, 120): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (2, 118): 't3*tau2*t1^-1', (2, 139): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 115): 'tau1', (2, 106): 'tau3^-1', (2, 107): 'tau3^-1', (2, 103): 'tau3^-1', (2, 98): 't2^-1', (2, 93): 't2^-1', (2, 94): 't2^-1', (2, 84): 'tau3', (0, 81): 't1^-1*tau2*t3', (1, 17): 't1^-1*tau2*t3', (2, 79): 't2'}