U-tiling: UQC2571
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1930 |
*222222 |
(2,6,5) |
{10,4} |
{4.4.3.3.4.4.3.3.4.4}{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
|
|
sqc4326
|
|
Cmma |
67 |
orthorhombic |
{9,4} |
6 |
(2,6) |
G
|
False
|
|
sqc4960
|
|
C2/c |
15 |
monoclinic |
{10,4} |
6 |
(2,7) |
D
|
True
|
|
sqc391
|
|
P4/mmm |
123 |
tetragonal |
{8,4} |
3 |
(2,3) |
Topological data
Vertex degrees | {10,4} |
2D vertex symbol | {4.4.3.3.4.4.3.3.4.4}{3.3.3.3} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<117.1:96:25 50 51 64 65 8 9 58 59 36 37 74 75 88 89 20 21 82 83 48 86 87 76 77 32 33 94 95 62 63 52 53 44 45 70 71 85 56 57 96 73 68 69 84 80 81 92 93,2 4 6 10 68 57 12 14 16 18 22 92 81 24 26 28 30 34 80 93 36 38 40 42 46 56 69 48 50 52 54 58 60 62 64 66 70 72 74 76 78 82 84 86 88 90 94 96,13 3 5 7 9 11 24 15 17 19 21 23 37 27 29 31 33 35 48 39 41 43 45 47 73 51 53 55 57 59 84 85 63 65 67 69 71 96 75 77 79 81 83 87 89 91 93 95:4 4 3 3 4 4 4 3 3 4 3 3 3 3,10 4 4 10 10 10> {(0, 51): 't3', (0, 62): 't3^-1*tau2^-1', (0, 26): 'tau3^-1*t2', (0, 48): 't3*tau2*t1^-1*tau3^-1*t2', (1, 55): 't3', (0, 63): 't3^-1', (1, 91): 't2^-1', (0, 52): 't3', (0, 13): 'tau3*t2^-1', (2, 95): 'tau1', (0, 27): 't2^-1', (0, 49): 't3*tau2', (0, 16): 't2', (1, 67): 't3^-1', (0, 60): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 61): 't3^-1*tau2^-1', (1, 79): 't2', (0, 24): 't1', (0, 14): 'tau3*t2^-1', (0, 36): 't1', (2, 59): 'tau1', (0, 28): 't2^-1', (0, 50): 't3*tau2', (2, 48): 'tau1', (0, 25): 'tau3^-1*t2', (0, 15): 't2', (0, 4): 't3', (2, 60): 'tau1^-1', }