U-tiling: UQC1954
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1627 |
*222222 |
(2,6,4) |
{16,3} |
{4.4.3.4.4.3.4.4.4.4.3.4.4.3.4.4... |
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
|
|
sqc14544
|
|
P4/mmm |
123 |
tetragonal |
{3,14} |
3 |
(2,5) |
|
G
|
True
|
|
sqc2362
|
|
C2/c |
15 |
monoclinic |
{3,12} |
6 |
(2,6) |
|
D
|
True
|
|
sqc213
|
|
Cmmm |
65 |
orthorhombic |
{12,3} |
3 |
(2,5) |
Topological data
| Vertex degrees | {16,3} |
| 2D vertex symbol | {4.4.3.4.4.3.4.4.4.4.3.4.4.3.4.4}{3.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<77.2:88:45 4 5 50 29 30 20 21 33 67 15 16 72 40 41 44 78 26 27 83 42 43 56 37 38 61 48 49 84 85 75 76 88 59 60 73 74 86 87 77 70 71 81 82,2 25 6 7 9 11 13 36 17 18 20 22 24 28 29 31 33 35 39 40 42 44 46 80 50 51 53 55 57 69 61 62 64 66 68 72 73 75 77 79 83 84 86 88,23 3 5 61 8 10 55 34 14 16 83 19 21 77 25 27 72 30 32 88 36 38 50 41 43 66 78 47 49 52 54 67 58 60 63 65 69 71 74 76 80 82 85 87:4 3 4 4 4 3 4 4 3 4 4 3,3 16 3 16 3 3> {(2, 33): 't1', (0, 39): 't1', (2, 27): 't2^-1', (0, 51): 't3*tau2*t1^-1*tau3^-1*t2', (0, 60): 't3^-1*tau2^-1', (2, 22): 't1', (1, 13): 't1^-1', (0, 53): 'tau1', (0, 62): 't3^-1*tau2^-1*t1*tau3*t2^-1', (1, 24): 't1', (1, 68): 't2*tau3^-1*t1^-1*tau2*t3', (1, 79): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 49): 't3', (0, 22): 'tau3^-1*t2', (0, 5): 'tau2^-1*t3^-1', (0, 7): 't1^-1', (0, 61): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 28): 't1', (0, 50): 't3*tau2*t1^-1*tau3^-1*t2', (0, 63): 'tau1^-1', (0, 40): 't1', (0, 11): 'tau3*t2^-1', (0, 52): 'tau1', (0, 33): 'tau2*t3', (2, 44): 't3*tau2*t1^-1*tau3^-1*t2', (0, 16): 'tau3*t2^-1', (0, 86): 'tau1', (0, 44): 't3*tau2', (2, 82): 't2^-1', (0, 27): 'tau3^-1*t2', (2, 55): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 60): 't3^-1', }