U-tiling: UQC5802
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2341 |
*222222 |
(5,7,2) |
{4,8,4,4,4} |
{4.5.5.4}{4.4.5.5.4.4.5.5}{5.5.5... |
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
|
False
|
|
sqc6724
|
|
Cmma |
67 |
orthorhombic |
{4,8,4,4,4} |
12 |
(5,7) |
|
G
|
False
|
|
sqc6723
|
|
C2/c |
15 |
monoclinic |
{4,8,4,4,4} |
12 |
(5,8) |
|
D
|
False
|
|
sqc6725
|
|
Imma |
74 |
orthorhombic |
{4,8,4,4,4} |
12 |
(5,7) |
Topological data
| Vertex degrees | {4,8,4,4,4} |
| 2D vertex symbol | {4.5.5.4}{4.4.5.5.4.4.5.5}{5.5.5.5}{5.5.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<27.3:112:57 3 5 7 9 11 13 70 85 17 19 21 23 25 27 98 99 31 33 35 37 39 41 112 71 45 47 49 51 53 55 84 59 61 63 65 67 69 73 75 77 79 81 83 87 89 91 93 95 97 101 103 105 107 109 111,2 14 6 13 8 10 12 16 28 20 27 22 24 26 30 42 34 41 36 38 40 44 56 48 55 50 52 54 58 70 62 69 64 66 68 72 84 76 83 78 80 82 86 98 90 97 92 94 96 100 112 104 111 106 108 110,71 4 5 76 77 64 65 38 39 26 27 42 99 18 19 104 105 92 93 52 53 56 85 32 33 90 91 106 107 54 55 57 46 47 62 63 78 79 60 61 108 109 96 97 112 74 75 94 95 110 111 98 88 89 102 103:4 5 4 5 4 5 4 5 5 5 5 5,4 8 4 4 4 4 4 4 4 4 8 4> {(2, 61): 't3', (2, 62): 't3', (2, 56): 't3', (2, 55): 't1', (0, 55): 'tau2*t3', (0, 42): 'tau2*t3', (2, 41): 't1', (2, 33): 't2^-1', (2, 34): 't2^-1', (2, 28): 't2^-1', (0, 27): 'tau3*t2^-1', (0, 28): 'tau3^-1*t2', (2, 20): 't2', (2, 14): 't2', (0, 14): 'tau3*t2^-1', (0, 13): 'tau2^-1*t3^-1', (2, 5): 't3', (0, 0): 'tau2^-1*t3^-1', (2, 0): 't3', (2, 109): 'tau1', (2, 110): 'tau1', (2, 111): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 111): 't2^-1*tau3', (2, 103): 't2^-1', (2, 96): 'tau1^-1', (2, 97): 't2*tau3^-1*t1^-1*tau2*t3', (2, 95): 'tau1^-1', (2, 6): 't3'}