U-tiling: UQC5377
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2031 |
*222222 |
(5,6,2) |
{4,4,4,4,4} |
{5.5.5.5}{5.7.7.5}{5.7.5.7}{7.7.... |
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
|
|
sqc5563
|
|
Cmma |
67 |
orthorhombic |
{4,4,4,4,4} |
12 |
(5,6) |
|
G
|
False
|
|
sqc5242
|
|
C2/c |
15 |
monoclinic |
{4,4,4,4,4} |
12 |
(5,7) |
|
D
|
False
|
|
sqc5243
|
|
Imma |
74 |
orthorhombic |
{4,4,4,4,4} |
12 |
(5,6) |
Topological data
| Vertex degrees | {4,4,4,4,4} |
| 2D vertex symbol | {5.5.5.5}{5.7.7.5}{5.7.5.7}{7.7.7.7}{7.7.7.7} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<115.2:96:25 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 95,2 4 29 8 19 10 12 14 16 41 20 22 24 26 28 32 43 34 36 38 40 44 46 48 50 52 89 56 79 58 60 62 64 77 68 91 70 72 74 76 80 82 84 86 88 92 94 96,49 62 63 6 7 68 69 58 59 36 73 86 87 18 19 92 93 82 83 48 85 74 75 30 31 80 81 94 95 61 50 51 42 43 56 57 70 71 54 55 96 66 67 84 78 79 90 91:5 7 5 7 5 7 5 7,4 4 4 4 4 4 4 4 4 4 4 4> {(2, 60): 't3^-1*tau2^-1', (0, 59): 'tau1', (2, 62): 't3^-1', (2, 56): 't3', (0, 60): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 61): 't3^-1', (0, 48): 't3*tau2*t1^-1*tau3^-1*t2', (2, 55): 't3', (2, 48): 't3*tau2', (2, 49): 't3', (2, 50): 't3', (2, 32): 't2^-1', (0, 36): 't1', (1, 88): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 24): 't1', (2, 31): 't2^-1', (2, 24): 'tau3^-1*t2', (2, 25): 't2^-1', (2, 26): 't2^-1', (2, 20): 't2', (2, 19): 't2', (2, 12): 'tau3*t2^-1', (2, 13): 't2', (2, 14): 't2', (2, 8): 't3', (1, 76): 't2*tau3^-1*t1^-1*tau2*t3', (1, 78): 'tau1^-1', (2, 7): 't3', (1, 40): 't1', (1, 90): 'tau1', (0, 95): 'tau1', (1, 28): 't1'}