U-tiling: UQC3661
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
|
|
sqc2056
|
|
Fmmm |
69 |
orthorhombic |
{6,4,3} |
8 |
(3,4) |
|
G
|
False
|
|
sqc7778
|
|
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
<27.3:128:65 3 5 7 40 81 11 13 15 48 97 19 21 23 56 113 27 29 31 64 89 35 37 39 73 43 45 47 121 51 53 55 105 59 61 63 67 69 71 96 75 77 79 88 83 85 87 91 93 95 99 101 103 128 107 109 111 120 115 117 119 123 125 127,2 75 36 6 8 10 91 44 14 16 18 107 52 22 24 26 123 60 30 32 34 83 38 40 42 67 46 48 50 115 54 56 58 99 62 64 66 92 70 72 74 84 78 80 82 86 88 90 94 96 98 124 102 104 106 116 110 112 114 118 120 122 126 128,33 4 5 22 23 16 41 12 13 30 31 49 20 21 32 57 28 29 36 37 54 55 48 44 45 62 63 52 53 64 60 61 89 68 69 102 103 88 81 76 77 110 111 96 84 85 118 119 92 93 126 127 121 100 101 120 113 108 109 128 116 117 124 125:6 5 6 5 6 5 6 5 5 5 5 5,3 6 4 3 6 3 3 6 4 6 3 4 3 4 3 3> {(0, 56): 'tau2', (2, 56): 't1', (0, 63): 't1', (1, 115): 'tau3^-1*t1^-1*tau2', (2, 48): 't1', (1, 123): 'tau3*t1*tau2^-1', (0, 24): 'tau3', (0, 16): 'tau2^-1', (0, 23): 't1^-1', (1, 74): 't3^-1', (1, 66): 't3', (0, 48): 'tau3^-1', (2, 125): 't2', (2, 126): 't2', (2, 127): 't2*tau1*t3^-1', (2, 120): 'tau3*t1*tau2^-1', (0, 127): 'tau3*t1*tau2^-1', (2, 118): 't2^-1', (2, 117): 't2^-1', (1, 51): 't1', (2, 119): 't2^-1*tau1^-1*t3', (2, 112): 'tau3^-1*t1^-1*tau2', (0, 119): 'tau3^-1*t1^-1*tau2', (2, 109): 't3', (2, 110): 't3', (2, 101): 't3^-1', (2, 102): 't3^-1', (1, 34): 't2^-1', (1, 27): 't1^-1', (2, 95): 'tau1', (1, 10): 't2', (2, 71): 'tau1'}