U-tiling: UQC379
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc477 |
*22222 |
(2,4,2) |
{4,6} |
{6.4.4.6}{6.4.4.6.4.4} |
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
|
|
sqc1423
|
|
Fmmm |
69 |
orthorhombic |
{6,4} |
6 |
(2,4) |
|
G
|
False
|
|
sqc6743
|
|
Fddd |
70 |
orthorhombic |
{4,6} |
12 |
(2,5) |
|
D
|
False
|
|
sqc1408
|
|
Cmma |
67 |
orthorhombic |
{4,6} |
6 |
(2,4) |
Topological data
| Vertex degrees | {4,6} |
| 2D vertex symbol | {6.4.4.6}{6.4.4.6.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<14.1:112:15 3 5 62 63 22 10 12 76 77 17 19 90 91 24 26 104 105 43 31 33 83 84 50 38 40 69 70 45 47 111 112 52 54 97 98 85 59 61 92 66 68 99 73 75 106 80 82 87 89 94 96 101 103 108 110,2 10 6 7 9 13 14 16 24 20 21 23 27 28 30 38 34 35 37 41 42 44 52 48 49 51 55 56 58 73 62 63 65 80 69 70 72 76 77 79 83 84 86 101 90 91 93 108 97 98 100 104 105 107 111 112,64 4 5 69 35 78 11 12 83 42 92 18 19 97 49 106 25 26 111 56 71 32 33 76 57 39 40 62 99 46 47 104 85 53 54 90 60 61 84 67 68 77 74 75 81 82 88 89 112 95 96 105 102 103 109 110:6 4 4 4 4 6 4 4 4 4 6 6,4 6 4 4 6 4 4 4 4 4 6 6> {(2, 61): 't3', (0, 56): 't3', (2, 63): 't3^-1', (2, 56): 't3', (0, 63): 't3^-1', (0, 48): 'tau3^-1', (2, 55): 't1', (0, 54): 'tau2', (0, 55): 'tau2', (1, 107): 't2*tau1*t3^-1', (0, 47): 'tau3^-1', (2, 33): 't2^-1', (0, 26): 'tau3', (0, 27): 'tau3', (2, 20): 't1^-1', (0, 19): 'tau2^-1', (0, 20): 'tau2^-1', (1, 86): 't3^-1*tau1*t2', (1, 72): 'tau1^-1', (1, 79): 'tau1', (2, 5): 't3', (2, 7): 't2', (2, 28): 't2^-1', (2, 111): 'tau3*t1*tau2^-1', (0, 98): 't2^-1', (2, 97): 'tau2^-1*t1*tau3', (2, 82): 't2^-1', (0, 77): 't2^-1'}