U-tiling: UQC3167
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc2401 |
*222222 |
(2,7,6) |
{4,7} |
{4.4.6.4}{6.4.4.4.4.4.4} |
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
|
False
|
|
sqc7026
|
|
Cmma |
67 |
orthorhombic |
{7,4} |
12 |
(2,7) |
G
|
False
|
|
sqc7018
|
|
C2/c |
15 |
monoclinic |
{7,4,4} |
12 |
(3,8) |
D
|
True
|
|
sqc6304
|
|
Imma |
74 |
orthorhombic |
{6,4} |
12 |
(2,7) |
Topological data
Vertex degrees | {7,4} |
2D vertex symbol | {4.4.6.4}{6.4.4.4.4.4.4} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<36.3:120:76 62 63 34 35 8 9 40 41 27 28 44 45 106 92 93 49 50 23 24 55 56 59 60 91 107 108 38 39 57 58 61 77 78 53 54 109 110 68 69 115 116 102 103 119 120 94 95 83 84 100 101 117 118 104 105 98 99 113 114,2 4 6 67 10 15 12 14 17 19 21 97 25 30 27 29 32 34 36 112 40 45 42 44 47 49 51 82 55 60 57 59 62 64 66 70 75 72 74 77 79 81 85 90 87 89 92 94 96 100 105 102 104 107 109 111 115 120 117 119,61 3 5 7 9 11 13 15 91 18 20 22 24 26 28 30 106 33 35 37 39 41 43 45 76 48 50 52 54 56 58 60 63 65 67 69 71 73 75 78 80 82 84 86 88 90 93 95 97 99 101 103 105 108 110 112 114 116 118 120:4 4 4 6 4 4 4 4 4 6 4 4 4 4,7 4 7 4 7 4 7 4 4 4 4 4> {(0, 103): 't2*tau3^-1*t1^-1*tau2*t3', (0, 117): 'tau1', (0, 59): 't1', (2, 15): 'tau3*t2^-1', (0, 104): 't2*tau3^-1*t1^-1*tau2*t3', (0, 30): 't2^-1', (1, 111): 't2^-1*tau3', (0, 118): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 101): 'tau1^-1', (0, 60): 't3', (2, 45): 'tau2*t3', (0, 43): 't1', (1, 81): 't3^-1*tau2^-1', (0, 119): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 30): 'tau3^-1*t2', (1, 66): 't3*tau2', (0, 102): 'tau1^-1', (0, 116): 'tau1', (0, 0): 't3', (0, 44): 't1', (0, 15): 't2', (1, 96): 't2*tau3^-1', (2, 60): 't3*tau2', (0, 58): 't1', }