U-tiling: UQC5526
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
![Net details](/hnet_small_images/hqc2204.jpg) |
hqc2204 |
*222222 |
(5,7,2) |
{3,4,4,4,4} |
{8.5.8}{8.8.5.5}{5.5.5.5}{8.8.8.... |
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
|
|
sqc5760
|
|
Cmma |
67 |
orthorhombic |
{3,4,4,4,4} |
14 |
(5,7) |
G
|
False
|
|
sqc5911
|
|
C2/c |
15 |
monoclinic |
{3,4,4,4,4} |
14 |
(5,8) |
D
|
False
|
|
sqc5913
|
|
Imma |
74 |
orthorhombic |
{3,4,4,4,4} |
14 |
(5,7) |
Topological data
Vertex degrees | {3,4,4,4,4} |
2D vertex symbol | {8.5.8}{8.8.5.5}{5.5.5.5}{8.8.8.8}{8.8.8.8} |
Dual tiling | ![Tiling details](/u_net_small_images/s222222a_FSGG_123_3_1.png) |
D-symbol
Genus-3 version with t-tau cuts labelled
<123.3:104:53 3 5 7 73 10 12 65 79 16 18 20 99 23 25 91 92 29 31 33 86 36 38 104 66 42 44 46 60 49 51 78 55 57 59 62 64 68 70 72 75 77 81 83 85 88 90 94 96 98 101 103,2 9 69 6 8 11 13 15 22 95 19 21 24 26 28 35 82 32 34 37 39 41 48 56 45 47 50 52 54 61 58 60 63 65 67 74 71 73 76 78 80 87 84 86 89 91 93 100 97 99 102 104,66 4 5 32 33 60 35 36 24 25 39 92 17 18 45 46 86 48 49 52 79 30 31 99 50 51 53 43 44 73 56 57 97 98 100 101 89 90 104 69 70 84 85 87 88 102 103 91 82 83 95 96:8 5 8 5 8 5 8 5,3 4 4 4 4 3 4 4 3 3 4 4 4 4> {(0, 59): 't3', (2, 62): 'tau1', (2, 63): 'tau1', (2, 52): 't3', (0, 51): 'tau2*t3', (0, 52): 't3*tau2', (2, 51): 't1', (2, 38): 't1', (0, 33): 't2^-1', (0, 38): 'tau3^-1*t2', (0, 39): 'tau2*t3', (0, 26): 'tau3^-1*t2', (0, 25): 'tau3*t2^-1', (2, 26): 't2^-1', (1, 94): 't2^-1', (1, 81): 't2', (0, 20): 't2', (2, 13): 't2', (0, 12): 'tau2^-1*t3^-1', (0, 13): 'tau3*t2^-1', (2, 0): 't3', (1, 68): 't3^-1', (1, 55): 't3', (2, 101): 'tau1', (2, 102): 'tau1', (2, 103): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 90): 't2*tau3^-1*t1^-1*tau2*t3', (0, 72): 't3^-1'}