U-tiling: UQC4182
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc860 |
*4444 |
(4,4,2) |
{16,4,8,4} |
{5.5.3.3.5.5.3.3.5.5.3.3.5.5.3.3... |
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
|
|
sqc1
|
pcu
|
Pm-3m |
221 |
cubic |
{6} |
1 |
(1,1) |
|
G
|
False
|
|
sqc1818
|
|
I-4m2 |
119 |
tetragonal |
{16,8,4,4} |
4 |
(4,4) |
|
D
|
True
|
|
sqc1145
|
|
I-4m2 |
119 |
tetragonal |
{12,8,4,4} |
4 |
(4,4) |
Topological data
| Vertex degrees | {16,4,8,4} |
| 2D vertex symbol | {5.5.3.3.5.5.3.3.5.5.3.3.5.5.3.3}{3.3.3.3}{5.5.5.5.5.5.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<10.2:64:17 6 19 5 8 25 14 27 13 16 22 21 24 30 29 32 49 38 51 37 40 57 46 59 45 48 54 53 56 62 61 64,2 4 21 7 24 10 12 29 15 32 18 20 23 26 28 31 34 36 53 39 56 42 44 61 47 64 50 52 55 58 60 63,3 18 52 53 22 15 16 11 26 60 61 30 19 28 29 39 40 27 47 48 35 50 44 45 54 43 58 62 51 63 64 59:5 3 5 3 5 3 5 3,16 4 8 4> {(0, 58): 't3^-1*tau2^-1*t3^-1', (2, 61): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (0, 56): 't3^-1*tau2^-1*t3^-1', (2, 57): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 59): 't3^-1*tau2^-1*t1', (0, 50): 't3^-1', (2, 53): 'tau1^-1', (0, 48): 't3^-1', (2, 49): 'tau1^-1', (2, 47): 't3*tau2*t1^-1', (2, 60): 't3^-1*tau2^-1*t1', (0, 26): 't1', (2, 30): 't1*tau2^-1*t3^-1', (2, 25): 'tau3^-1', (2, 21): 't2^-1', (2, 17): 't2^-1', (2, 13): 'tau3', (0, 8): 't1^-1', (1, 60): 't3^-1*tau2^-1*t3^-1', (1, 63): 't3^-1*tau2^-1*t3^-1', (1, 52): 't3^-1', (1, 55): 't3^-1', (1, 28): 't1', (1, 31): 't1'}