U-tiling: UQC3144
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2396 |
*222222 |
(2,7,6) |
{9,3} |
{4.4.4.4.6.4.4.4.4}{4.4.6} |
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) |
|
G
|
False
|
|
sqc7014
|
|
I212121 |
24 |
orthorhombic |
{9,3,3} |
12 |
(3,8) |
|
D
|
False
|
|
sqc1472
|
|
P222 |
16 |
orthorhombic |
{3,9} |
6 |
(2,7) |
Topological data
| Vertex degrees | {9,3} |
| 2D vertex symbol | {4.4.4.4.6.4.4.4.4}{4.4.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<39.1:120:31 62 63 19 20 36 37 10 11 42 43 74 75 46 77 78 51 52 25 26 57 58 89 90 92 93 49 50 40 41 104 105 107 108 55 56 119 120 91 79 80 96 97 70 71 102 103 106 111 112 85 86 117 118 109 110 100 101 115 116,2 4 6 8 24 12 15 14 17 19 21 23 27 30 29 32 34 36 38 54 42 45 44 47 49 51 53 57 60 59 62 64 66 68 84 72 75 74 77 79 81 83 87 90 89 92 94 96 98 114 102 105 104 107 109 111 113 117 120 119,16 3 5 7 9 11 13 15 18 20 22 24 26 28 30 46 33 35 37 39 41 43 45 48 50 52 54 56 58 60 76 63 65 67 69 71 73 75 78 80 82 84 86 88 90 106 93 95 97 99 101 103 105 108 110 112 114 116 118 120:4 4 4 4 6 4 4 4 4 4 6 4 4 4,9 3 3 9 3 3 9 3 3 9 3 3> {(0, 16): 't1^-1', (0, 29): 'tau3', (0, 51): 'tau2^-1*t1', (0, 41): 't3', (0, 18): 't1^-1', (0, 95): 'tau1*t2', (0, 117): 'tau2^-1*t3^-1*tau1*t2', (0, 43): 't3*tau1^-1', (0, 116): 'tau2^-1*t3^-1*tau1*t2', (0, 96): 'tau1*t2', (0, 109): 'tau2^-1*t3^-1', (1, 83): 'tau3^-1*t2', (0, 57): 'tau2^-1*t1', (0, 14): 't2', (0, 59): 't3*tau1^-1*t2^-1*tau3*t1', (0, 36): 't3', (0, 17): 't1^-1', (2, 90): 't2^-1*tau3*t1', (0, 105): 't1^-1', (0, 48): 'tau2^-1*t3^-1', (0, 110): 'tau2^-1*t3^-1*tau1*t2', (0, 19): 't1^-1', (0, 28): 'tau3', (0, 81): 't2^-1*tau1^-1*t3*tau2', (0, 50): 'tau2^-1*t1', (0, 108): 'tau2^-1*t3^-1', (0, 102): 'tau1*t2', (1, 113): 't1^-1*tau3^-1*t2', (0, 42): 't3', (0, 13): 't2', (0, 35): 't3', (0, 44): 't3*tau1^-1', (0, 56): 'tau2^-1*t1', (0, 101): 'tau1*t2', (2, 60): 't2^-1*tau3', (0, 49): 'tau2^-1*t3^-1', (0, 58): 't3*tau1^-1*t2^-1*tau3*t1', }