U-tiling: UQC3843
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc84 |
*488 |
(2,2,2) |
{12,8} |
{8.3.3.8.3.3.8.3.3.8.3.3}{3.3.3.... |
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
|
|
sqc1276
|
|
P4/mmm |
123 |
tetragonal |
{12,10,6} |
3 |
(3,3) |
|
G
|
True
|
|
sqc1279
|
|
Fm-3m |
225 |
cubic |
{10,8} |
3 |
(2,2) |
|
D
|
True
|
|
sqc873
|
xak
|
I4/mmm |
139 |
tetragonal |
{8,8} |
3 |
(2,2) |
Topological data
| Vertex degrees | {12,12,8} |
| 2D vertex symbol | {8.3.3.8.3.3.8.3.3.8.3.3}{8.3.3.8.3.3.8.3.3.8.3.3}{3.3.3.3.3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<1.1:64:2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64,9 18 5 8 7 26 13 16 15 33 21 24 23 41 29 32 31 50 37 40 39 58 45 48 47 57 53 56 55 61 64 63,3 4 21 22 55 56 11 12 29 30 63 64 19 20 31 32 27 28 35 36 53 54 47 48 43 44 61 62 51 52 59 60:8 3 3 3 3 3 3 3 3,12 12 8> {(2, 60): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 61): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 62): 't3^-1*tau2^-1*t1', (2, 63): 't3^-1*tau2^-1*t1', (1, 40): 't3*tau2*t1^-1', (2, 29): 'tau3^-1', (2, 52): 'tau1^-1', (2, 53): 'tau1^-1', (2, 20): 't2^-1', (1, 25): 't1', (2, 21): 't2^-1', (1, 49): 't3^-1', (1, 57): 't3^-1*tau2^-1*t3^-1', (2, 28): 'tau3^-1'}