U-tiling: UQC3662
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc803 |
*22222 |
(3,4,2) |
{3,6,4} |
{6.5.6}{6.5.5.6.5.5}{5.5.5.5} |
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
|
|
sqc1893
|
|
Fmmm |
69 |
orthorhombic |
{6,3,4} |
8 |
(3,4) |
|
G
|
False
|
|
sqc7970
|
|
Fddd |
70 |
orthorhombic |
{3,6,4} |
16 |
(3,5) |
|
D
|
False
|
|
sqc180
|
|
Pmmm |
47 |
orthorhombic |
{6,4,3} |
4 |
(3,4) |
Topological data
| Vertex degrees | {3,6,4} |
| 2D vertex symbol | {6.5.6}{6.5.5.6.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<27.2:128:73 3 5 7 72 89 11 13 15 88 105 19 21 23 104 121 27 29 31 120 81 35 37 39 96 65 43 45 47 80 113 51 53 55 128 97 59 61 63 112 67 69 71 75 77 79 83 85 87 91 93 95 99 101 103 107 109 111 115 117 119 123 125 127,2 19 68 6 8 10 27 84 14 16 18 100 22 24 26 116 30 32 34 51 92 38 40 42 59 76 46 48 50 124 54 56 58 108 62 64 66 99 70 72 74 107 78 80 82 115 86 88 90 123 94 96 98 102 104 106 110 112 114 118 120 122 126 128,65 4 5 14 15 40 81 12 13 48 97 20 21 30 31 56 113 28 29 64 89 36 37 46 47 73 44 45 121 52 53 62 63 105 60 61 68 69 86 87 96 76 77 94 95 88 84 85 92 93 100 101 118 119 128 108 109 126 127 120 116 117 124 125:6 5 6 5 5 5 6 5 6 5 5 5,3 6 4 3 3 4 3 3 6 3 3 3 6 4 6 4> {(1, 123): 'tau3', (2, 63): 't1', (2, 56): 'tau2', (0, 63): 'tau2', (1, 115): 'tau3^-1', (2, 55): 't1', (2, 48): 'tau3^-1', (0, 55): 'tau3^-1', (0, 40): 't3^-1', (1, 106): 't3', (0, 32): 't2^-1', (1, 98): 't3^-1', (1, 99): 'tau2', (1, 90): 't2^-1', (2, 24): 'tau3', (0, 31): 'tau3', (1, 82): 't2', (2, 16): 'tau2^-1', (0, 23): 'tau2^-1', (0, 8): 't2', (0, 0): 't3', (2, 125): 't2*tau1*t3^-1', (1, 59): 'tau2', (2, 117): 't2^-1*tau1^-1*t3', (2, 118): 't2^-1*tau1^-1*t3', (2, 119): 'tau3^-1*t1^-1*tau2', (2, 110): 't3*tau1^-1*t2^-1', (2, 103): 'tau2*t1^-1*tau3^-1', (2, 93): 'tau1', (2, 94): 'tau1', (2, 86): 'tau1^-1', (2, 69): 'tau1'}