U-tiling: UQC2618
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc1958 |
*222222 |
(2,6,5) |
{7,5} |
{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
|
|
sqc4394
|
|
Cmma |
67 |
orthorhombic |
{5,6} |
8 |
(2,6) |
G
|
False
|
|
sqc5204
|
|
C2/c |
15 |
monoclinic |
{5,7} |
8 |
(2,7) |
D
|
False
|
|
sqc5202
|
|
Imma |
74 |
orthorhombic |
{5,7} |
8 |
(2,6) |
Topological data
Vertex degrees | {7,5} |
2D vertex symbol | {4.4.4.4.4.4.4}{4.4.4.4.4} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<115.2:96:49 62 63 6 7 68 69 58 59 36 73 86 87 18 19 92 93 82 83 48 85 74 75 30 31 80 81 94 95 61 50 51 42 43 56 57 70 71 54 55 96 66 67 84 78 79 90 91,2 4 29 8 19 10 12 14 16 41 20 22 24 26 28 32 43 34 36 38 40 44 46 48 50 52 89 56 79 58 60 62 64 77 68 91 70 72 74 76 80 82 84 86 88 92 94 96,25 3 5 7 9 11 24 37 15 17 19 21 23 27 29 31 33 35 48 39 41 43 45 47 85 51 53 55 57 59 84 73 63 65 67 69 71 96 75 77 79 81 83 87 89 91 93 95:4 4 4 4 4 4 4 4 4 4 4 4,5 7 5 7 5 7 5 7> {(1, 88): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 60): 't3^-1*tau2^-1', (0, 31): 't2^-1', (0, 8): 't3', (0, 62): 't3^-1', (0, 61): 't3^-1', (0, 20): 't2', (0, 55): 't3', (0, 32): 't2^-1', (1, 40): 't1', (0, 12): 'tau3*t2^-1', (2, 36): 't1', (0, 24): 'tau3^-1*t2', (0, 14): 't2', (0, 26): 't2^-1', (0, 7): 't3', (0, 48): 't3*tau2', (2, 59): 'tau1', (0, 19): 't2', (1, 76): 't2*tau3^-1*t1^-1*tau2*t3', (0, 50): 't3', (2, 24): 't1', (1, 78): 'tau1^-1', (2, 95): 'tau1', (1, 90): 'tau1', (0, 13): 't2', (2, 48): 't3*tau2*t1^-1*tau3^-1*t2', (1, 28): 't1', (0, 25): 't2^-1', (0, 56): 't3', (0, 49): 't3', (2, 60): 't3^-1*tau2^-1*t1*tau3*t2^-1', }