U-tiling: UQC2356
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2003 |
*222222 |
(2,6,4) |
{3,12} |
{4.4.8}{8.4.4.8.4.4.8.4.4.8.4.4} |
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
|
True
|
|
sqc547
|
|
Pmmm |
47 |
orthorhombic |
{3,10} |
5 |
(2,6) |
G
|
False
|
|
sqc4786
|
|
C2/c |
15 |
monoclinic |
{12,3,3} |
10 |
(3,7) |
D
|
False
|
|
sqc726
|
|
Cmmm |
65 |
orthorhombic |
{12,3} |
5 |
(2,6) |
Topological data
Vertex degrees | {12,3} |
2D vertex symbol | {4.4.8}{8.4.4.8.4.4.8.4.4.8.4.4} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<6.2:96:49 62 63 6 7 56 57 34 35 36 73 86 87 18 19 80 81 46 47 48 85 74 75 30 31 92 93 61 50 51 42 43 68 69 54 55 94 95 96 66 67 82 83 84 78 79 90 91,2 4 12 8 11 10 14 16 24 20 23 22 26 28 36 32 35 34 38 40 48 44 47 46 50 52 60 56 59 58 62 64 72 68 71 70 74 76 84 80 83 82 86 88 96 92 95 94,25 3 5 7 9 11 24 37 15 17 19 21 23 27 29 31 33 35 48 39 41 43 45 47 85 51 53 55 57 59 84 73 63 65 67 69 71 96 75 77 79 81 83 87 89 91 93 95:4 8 4 4 4 8 4 4 4 4,12 3 3 3 3 12 3 3 3 3> {(0, 48): 't3*tau2', (2, 59): 'tau1', (0, 14): 't2', (0, 60): 't3^-1*tau2^-1', (0, 50): 't3', (2, 95): 'tau1', (0, 62): 't3^-1', (0, 61): 't3^-1', (0, 13): 't2', (2, 48): 't3*tau2*t1^-1*tau3^-1*t2', (0, 12): 'tau3*t2^-1', (0, 25): 't2^-1', (2, 36): 't1', (0, 24): 'tau3^-1*t2', (0, 26): 't2^-1', (2, 24): 't1', (0, 49): 't3', (2, 60): 't3^-1*tau2^-1*t1*tau3*t2^-1', }