U-tiling: UQC2735
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2143 |
*222222 |
(2,7,5) |
{9,4} |
{4.4.4.4.3.4.4.4.4}{4.4.3.3} |
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
|
|
sqc992
|
|
Pmmm |
47 |
orthorhombic |
{4,9} |
4 |
(2,7) |
|
G
|
False
|
|
sqc5632
|
|
C2/c |
15 |
monoclinic |
{9,4} |
8 |
(2,8) |
|
D
|
True
|
|
sqc741
|
|
Cmmm |
65 |
orthorhombic |
{4,8} |
4 |
(2,6) |
Topological data
| Vertex degrees | {9,4} |
| 2D vertex symbol | {4.4.4.4.3.4.4.4.4}{4.4.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<127.2:104:53 67 68 56 57 32 33 10 11 38 39 79 93 94 82 83 45 46 23 24 51 52 92 80 81 95 96 36 37 66 54 55 69 70 49 50 97 98 62 63 103 104 84 85 75 76 90 91 88 89 101 102,2 4 6 8 35 12 13 15 17 19 21 48 25 26 28 30 32 34 38 39 41 43 45 47 51 52 54 56 58 60 100 64 65 67 69 71 73 87 77 78 80 82 84 86 90 91 93 95 97 99 103 104,27 3 5 7 9 11 25 26 40 16 18 20 22 24 29 31 33 35 37 51 52 42 44 46 48 50 92 55 57 59 61 63 90 91 79 68 70 72 74 76 103 104 81 83 85 87 89 94 96 98 100 102:4 4 4 4 3 4 4 4 4 3 4 3 4 3,9 4 9 4 9 4 9 4> {(0, 103): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 51): 't1', (0, 1): 't3', (2, 102): 'tau1', (0, 26): 'tau3^-1*t2', (1, 99): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 86): 't2*tau3^-1*t1^-1*tau2*t3', (2, 90): 'tau1^-1', (0, 52): 't3*tau2', (2, 103): 'tau1', (0, 13): 'tau3*t2^-1', (0, 2): 't3', (0, 27): 't2^-1', (0, 39): 'tau2*t3', (2, 0): 't1^-1', (2, 78): 't2*tau3^-1*t1^-1*tau2*t3', (0, 53): 't3', (0, 38): 't1', (2, 63): 'tau1', (0, 14): 't2', (0, 90): 't2*tau3^-1*t1^-1*tau2*t3', (0, 28): 't2^-1', (2, 52): 't3*tau2*t1^-1*tau3^-1*t2', (2, 39): 't1', (1, 47): 't1', (1, 8): 't1^-1', (0, 54): 't3', (0, 15): 't2', }