U-tiling: UQC5003
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1830 |
*222222 |
(4,5,2) |
{8,6,4,4} |
{6.4.4.6.6.4.4.6}{6.4.4.6.4.4}{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
|
|
sqc254
|
|
P4/mmm |
123 |
tetragonal |
{4,6,4} |
4 |
(3,3) |
|
G
|
False
|
|
sqc4217
|
|
C2/c |
15 |
monoclinic |
{8,6,4,4} |
8 |
(4,6) |
|
D
|
False
|
|
sqc4267
|
|
Imma |
74 |
orthorhombic |
{8,6,4,4} |
8 |
(4,5) |
Topological data
| Vertex degrees | {8,6,4,4} |
| 2D vertex symbol | {6.4.4.6.6.4.4.6}{6.4.4.6.4.4}{4.4.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<2.1:88:12 3 5 7 9 11 14 16 18 20 22 34 25 27 29 31 33 36 38 40 42 44 67 47 49 51 53 55 78 58 60 62 64 66 69 71 73 75 77 80 82 84 86 88,2 25 6 11 8 10 13 36 17 22 19 21 24 28 33 30 32 35 39 44 41 43 46 80 50 55 52 54 57 69 61 66 63 65 68 72 77 74 76 79 83 88 85 87,23 4 5 50 51 63 64 54 55 34 15 16 72 73 85 86 76 77 26 27 83 84 74 75 87 88 37 38 61 62 52 53 65 66 78 48 49 67 59 60 70 71 81 82:6 4 4 4 4 6 4 4 4 4,8 6 4 4 8 6 4 4> {(2, 60): 't3^-1*tau2^-1', (2, 61): 't3^-1*tau2^-1', (2, 62): 't3^-1', (2, 63): 't3^-1', (2, 52): 't3', (2, 55): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 55): 'tau1^-1', (2, 50): 't3*tau2', (2, 51): 't3', (2, 44): 't3*tau2*t1^-1*tau3^-1*t2', (0, 44): 'tau1', (2, 33): 't1', (2, 28): 'tau3^-1*t2', (2, 29): 't2^-1', (2, 30): 't2^-1', (2, 27): 'tau3^-1*t2', (2, 22): 't1', (2, 16): 'tau3*t2^-1', (2, 17): 'tau3*t2^-1', (2, 18): 't2', (2, 19): 't2', (2, 5): 'tau2^-1*t3^-1'}