U-tiling: UQC2255
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1740 |
*222222 |
(2,6,4) |
{10,6} |
{4.4.3.4.4.4.4.3.4.4}{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
|
True
|
|
sqc406
|
|
Pmmm |
47 |
orthorhombic |
{6,8} |
3 |
(2,6) |
|
G
|
False
|
|
sqc4206
|
|
C2/c |
15 |
monoclinic |
{6,10} |
6 |
(2,7) |
|
D
|
False
|
|
sqc4205
|
|
Imma |
74 |
orthorhombic |
{6,10} |
6 |
(2,6) |
Topological data
| Vertex degrees | {10,6} |
| 2D vertex symbol | {4.4.3.4.4.4.4.3.4.4}{4.4.4.4.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<93.3:88:56 4 5 17 18 30 20 21 33 78 15 16 41 44 67 26 27 39 40 42 43 45 37 38 48 49 72 73 85 75 76 88 59 60 83 84 74 86 87 77 70 71 81 82,2 9 59 6 8 11 13 20 81 17 19 22 24 31 70 28 30 33 35 42 48 39 41 44 46 53 50 52 55 57 64 61 63 66 68 75 72 74 77 79 86 83 85 88,45 3 5 7 52 10 55 67 14 16 18 74 21 77 78 25 27 29 85 32 88 56 36 38 40 63 43 66 47 49 51 54 58 60 62 65 69 71 73 76 80 82 84 87:3 4 4 4 3 3 4 3 4 4 4 4,6 10 6 10 6 6> {(0, 55): 't3^-1', (2, 43): 'tau2*t3', (0, 22): 't2^-1', (2, 54): 't3*tau2', (2, 32): 'tau3^-1*t2', (2, 21): 'tau3*t2^-1', (0, 63): 'tau1^-1', (1, 14): 't2', (0, 52): 'tau1', (2, 44): 't3*tau2', (2, 11): 'tau3*t2^-1', (0, 49): 'tau1', (2, 33): 'tau2*t3', (2, 22): 'tau3^-1*t2', (0, 60): 'tau1^-1', (0, 53): 'tau1', (0, 43): 't1', (0, 32): 't1', (0, 86): 'tau1', (0, 76): 't2*tau3^-1*t1^-1*tau2*t3', (0, 61): 'tau1^-1', (0, 50): 'tau1', (1, 58): 't3^-1', (0, 11): 't2', (1, 47): 't3', (1, 69): 't2', (0, 54): 't3*tau2*t1^-1*tau3^-1*t2', (0, 44): 't3', }