U-tiling: UQC3117
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/hqc2392.jpg) |
hqc2392 |
*222222 |
(2,7,6) |
{5,10} |
{4.4.3.4.4}{3.4.4.4.4.3.4.4.4.4} |
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
|
False
|
|
sqc7008
|
|
Cmma |
67 |
orthorhombic |
{10,5} |
10 |
(2,7) |
G
|
False
|
|
sqc7011
|
|
C2/c |
15 |
monoclinic |
{10,5,5} |
10 |
(3,8) |
D
|
True
|
|
sqc1251
|
|
Cmmm |
65 |
orthorhombic |
{5,8} |
5 |
(2,6) |
Topological data
Vertex degrees | {10,5} |
2D vertex symbol | {4.4.3.4.4}{3.4.4.4.4.3.4.4.4.4} |
Dual tiling | ![Tiling details](/u_net_small_images/s222222a_FSG_35_1_0.png) |
D-symbol
Genus-3 version with t-tau cuts labelled
<35.1:120:31 62 63 6 7 68 69 85 86 72 73 44 45 46 92 93 21 22 98 99 115 116 102 103 59 60 107 108 36 37 113 114 100 101 117 118 77 78 51 52 83 84 70 71 87 88 106 66 67 119 120 91 81 82 104 105 96 97 111 112,2 4 35 8 15 10 12 14 17 19 50 23 30 25 27 29 32 34 38 45 40 42 44 47 49 53 60 55 57 59 62 64 110 68 75 70 72 74 77 79 95 83 90 85 87 89 92 94 98 105 100 102 104 107 109 113 120 115 117 119,16 3 5 7 9 11 13 15 18 20 22 24 26 28 30 46 33 35 37 39 41 43 45 48 50 52 54 56 58 60 91 63 65 67 69 71 73 75 106 78 80 82 84 86 88 90 93 95 97 99 101 103 105 108 110 112 114 116 118 120:4 4 3 4 4 4 4 4 3 4 4 4 4 4 3 3,10 5 5 5 5 10 5 5 5 5> {(0, 8): 'tau2^-1*t3^-1', (0, 62): 't3*tau2', (0, 55): 't3^-1', (0, 45): 't1', (0, 22): 'tau3*t2^-1', (0, 38): 'tau3^-1*t2', (0, 9): 't3', (0, 30): 't1', (0, 52): 'tau2*t3', (0, 23): 'tau3*t2^-1', (0, 46): 'tau2*t3', (0, 39): 't2^-1', (0, 16): 'tau3*t2^-1', (0, 60): 't3*tau2*t1^-1*tau3^-1*t2', (0, 31): 'tau3^-1*t2', (0, 53): 'tau2*t3', (0, 10): 't3', (0, 32): 'tau3^-1*t2', (0, 47): 'tau2*t3', (0, 24): 't2', (0, 17): 'tau3*t2^-1', (0, 90): 't2*tau3^-1*t1^-1*tau2*t3', (0, 7): 'tau2^-1*t3^-1', (0, 61): 't3*tau2', (0, 40): 't2^-1', (2, 75): 'tau1^-1', (0, 54): 't3^-1', (0, 25): 't2', (0, 37): 'tau3^-1*t2', (2, 60): 'tau1', }