U-tiling: UQC4245
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc102 |
*488 |
(3,2,1) |
{4,16,8} |
{4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.... |
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
|
|
sqc1005
|
|
P4/mmm |
123 |
tetragonal |
{4,14,8} |
3 |
(3,3) |
G
|
True
|
|
sqc1273
|
wzz
|
Fm-3m |
225 |
cubic |
{4,14,6} |
4 |
(3,2) |
D
|
True
|
|
sqc869
|
pfm
|
I4/mmm |
139 |
tetragonal |
{4,12,4} |
4 |
(3,2) |
Topological data
Vertex degrees | {4,16,8,4} |
2D vertex symbol | {4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<20.1:64:2 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 3 12 7 22 24 11 15 30 32 33 19 36 23 41 27 44 31 35 39 54 56 43 47 62 64 57 51 60 55 59 63,17 18 5 6 55 56 25 26 13 14 63 64 21 22 31 32 29 30 49 50 37 38 47 48 57 58 45 46 53 54 61 62:4 4 4 4 4 4 4 4,4 16 8 4> {(1, 61): 't3^-1*tau2^-1*t3^-1', (1, 29): 't1', (2, 62): 't3^-1*tau2^-1*t1', (2, 63): 't3^-1*tau2^-1*t1', (2, 56): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 57): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (1, 63): 't3^-1*tau2^-1*t3^-1', (2, 16): 't2^-1', (2, 48): 'tau1^-1', (2, 49): 'tau1^-1', (1, 55): 't3^-1', (2, 17): 't2^-1', (1, 53): 't3^-1', (1, 40): 't3*tau2*t1^-1', (1, 43): 't3*tau2*t1^-1', (2, 24): 'tau3^-1', (1, 31): 't1', (2, 25): 'tau3^-1'}