U-tiling: UQC3868
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1103 |
*22222 |
(3,5,2) |
{8,3,4} |
{3.6.6.3.3.6.6.3}{3.6.6}{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
|
True
|
|
sqc8342
|
|
P4/mmm |
123 |
tetragonal |
{7,3,4} |
16 |
(3,5) |
|
G
|
False
|
|
sqc8653
|
|
I4122 |
98 |
tetragonal |
{8,3,4} |
16 |
(3,6) |
|
D
|
False
|
|
sqc2424
|
|
P4222 |
93 |
tetragonal |
{3,4,8} |
8 |
(3,5) |
Topological data
| Vertex degrees | {8,3,4} |
| 2D vertex symbol | {3.6.6.3.3.6.6.3}{3.6.6}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<37.5:144:10 3 5 87 8 90 12 14 69 17 72 28 21 23 105 26 108 30 32 96 35 99 64 39 41 123 44 126 82 48 50 114 53 117 91 57 59 141 62 144 66 68 71 100 75 77 132 80 135 84 86 89 93 95 98 102 104 107 118 111 113 116 120 122 125 136 129 131 134 138 140 143,2 12 6 7 9 11 15 16 18 20 30 24 25 27 29 33 34 36 38 66 42 43 45 47 84 51 52 54 56 93 60 61 63 65 69 70 72 74 102 78 79 81 83 87 88 90 92 96 97 99 101 105 106 108 110 120 114 115 117 119 123 124 126 128 138 132 133 135 137 141 142 144,19 4 5 42 16 17 27 28 13 14 51 36 22 23 60 34 35 31 32 78 55 40 41 70 71 63 73 49 50 88 89 81 58 59 97 98 91 67 68 114 99 76 77 106 107 100 85 86 123 108 94 95 132 103 104 141 127 112 113 124 125 135 136 121 122 144 130 131 142 143 139 140:3 6 6 3 6 6 3 6 3 6 3 6 3 6 3 3,8 3 4 8 3 3 4 3 4 3 8 3 8 3 4 3> {(2, 60): 'tau2^-1', (2, 61): 'tau2^-1', (2, 62): 'tau2^-1*t3^-1', (2, 63): 't3^-1*tau2^-1', (0, 63): 't3^-1', (2, 52): 't2', (2, 53): 't2*tau3^-1', (2, 43): 't3', (0, 54): 'tau2^-1', (1, 119): 'tau1', (2, 51): 't2', (2, 42): 't3', (0, 45): 't2', (1, 101): 'tau3^-1', (2, 33): 't1', (2, 34): 't1', (0, 26): 't1^-1', (0, 27): 't1', (1, 92): 'tau2', (2, 26): 't1^-1', (2, 27): 't1', (2, 32): 't1', (1, 83): 't2^-1', (0, 23): 't1^-1', (2, 140): 't1^-1', (2, 141): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 142): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 143): 'tau2^-1*t3^-1', (1, 65): 't3^-1', (2, 134): 't1*tau3*t2^-1', (2, 135): 't1^-1*tau3^-1*t2', (2, 124): 'tau1', (2, 126): 'tau2*t3', (0, 126): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (2, 123): 'tau1', (0, 117): 'tau1', (2, 105): 'tau3^-1', (2, 106): 'tau3^-1', (0, 99): 'tau3^-1', (2, 99): 'tau3^-1*t2', (1, 29): 't1', (0, 80): 't1^-1', (1, 137): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 77): 't1^-1'}