U-tiling: UQC5861
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2331 |
*222222 |
(6,7,2) |
{4,3,3,4,4,4} |
{5.5.5.5}{5.9.5}{5.9.9}{9.9.9.9}... |
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) |
G
|
False
|
|
sqc6841
|
|
C2/c |
15 |
monoclinic |
{4,3,3,4,4,4} |
16 |
(6,8) |
D
|
False
|
|
sqc6837
|
|
Imma |
74 |
orthorhombic |
{4,3,3,4,4,4} |
16 |
(6,7) |
Topological data
Vertex degrees | {4,3,3,4,4,4} |
2D vertex symbol | {5.5.5.5}{5.9.5}{5.9.9}{9.9.9.9}{9.9.9.9}{9.9.9.9} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<129.1:112:15 3 5 7 9 11 13 70 17 19 21 23 25 27 98 43 31 33 35 37 39 41 112 45 47 49 51 53 55 84 85 59 61 63 65 67 69 99 73 75 77 79 81 83 87 89 91 93 95 97 101 103 105 107 109 111,2 4 19 62 8 10 12 14 16 18 90 22 24 26 28 30 32 47 104 36 38 40 42 44 46 76 50 52 54 56 58 60 89 64 66 68 70 72 74 103 78 80 82 84 86 88 92 94 96 98 100 102 106 108 110 112,29 58 59 6 7 22 23 38 39 68 69 84 43 86 87 20 21 52 53 96 97 112 100 101 34 35 50 51 110 111 98 72 73 48 49 82 83 70 99 62 63 92 93 108 109 85 76 77 106 107 94 95 90 91 104 105:5 9 9 5 9 9 5 5,4 3 3 4 4 4 4 3 4 4 3 3 3 3 4 3> {(0, 56): 'tau1', (2, 63): 'tau1', (2, 56): 't3*tau2*t1^-1*tau3^-1*t2', (2, 57): 't3*tau2', (2, 58): 't3*tau2', (2, 55): 't3^-1', (0, 55): 'tau2*t3', (2, 44): 'tau2*t3', (0, 98): 'tau1', (0, 41): 'tau3^-1*t2', (2, 41): 't2^-1', (2, 42): 't1', (2, 43): 'tau2*t3', (1, 103): 't2^-1*tau3', (2, 28): 't1', (0, 27): 'tau3*t2^-1', (2, 27): 't2', (2, 16): 'tau3*t2^-1', (2, 13): 't3', (1, 75): 't3^-1*tau2^-1', (1, 74): 'tau1^-1', (0, 13): 'tau2^-1*t3^-1', (1, 89): 't2*tau3^-1', (1, 61): 't3*tau2', (1, 60): 'tau1', (2, 105): 'tau1', (2, 106): 'tau1', (2, 100): 't2^-1*tau3', (2, 15): 'tau3*t2^-1', (2, 99): 't2^-1*tau3', (2, 84): 't2*tau3^-1*t1^-1*tau2*t3', (2, 64): 'tau1'}