U-tiling: UQC3743
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc821 |
*22222 |
(3,4,2) |
{4,4,4} |
{6.5.5.6}{6.5.6.5}{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
|
|
sqc2071
|
|
Fmmm |
69 |
orthorhombic |
{4,4,4} |
8 |
(3,4) |
|
G
|
False
|
|
sqc7784
|
|
Fddd |
70 |
orthorhombic |
{4,4,4} |
16 |
(3,5) |
|
D
|
False
|
|
sqc1901
|
|
Cmma |
67 |
orthorhombic |
{4,4,4} |
8 |
(3,4) |
Topological data
| Vertex degrees | {4,4,4} |
| 2D vertex symbol | {6.5.5.6}{6.5.6.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<32.5:128:9 3 5 7 72 11 13 15 88 25 19 21 23 104 27 29 31 120 41 35 37 39 96 43 45 47 80 57 51 53 55 128 59 61 63 112 81 67 69 71 89 75 77 79 83 85 87 91 93 95 113 99 101 103 121 107 109 111 115 117 119 123 125 127,2 35 6 69 8 10 43 14 85 16 18 51 22 101 24 26 59 30 117 32 34 38 93 40 42 46 77 48 50 54 125 56 58 62 109 64 66 91 70 72 74 83 78 80 82 86 88 90 94 96 98 123 102 104 106 115 110 112 114 118 120 122 126 128,17 4 5 22 23 80 25 12 13 30 31 96 20 21 112 28 29 128 49 36 37 54 55 88 57 44 45 62 63 72 52 53 120 60 61 104 97 68 69 102 103 105 76 77 110 111 113 84 85 118 119 121 92 93 126 127 100 101 108 109 116 117 124 125:6 5 5 6 5 5 5 5 5 5 6 6,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(1, 122): 'tau3*t1*tau2^-1', (0, 63): 'tau2', (1, 114): 'tau3^-1*t1^-1*tau2', (0, 55): 'tau3^-1', (2, 47): 't3^-1', (1, 108): 'tau2^-1', (2, 39): 't2^-1', (1, 100): 'tau2', (1, 124): 'tau3', (0, 31): 'tau3', (0, 23): 'tau2^-1', (2, 15): 't2', (2, 7): 't3', (0, 112): 't2^-1*tau1^-1*t3', (2, 125): 't2', (0, 120): 't2*tau1*t3^-1', (1, 58): 't1', (2, 120): 't2', (2, 117): 't2^-1', (2, 118): 't2^-1', (2, 112): 't2^-1', (1, 116): 'tau3^-1', (2, 109): 't3', (2, 110): 't3', (2, 104): 't3', (2, 126): 't2', (2, 101): 't3^-1', (2, 102): 't3^-1', (2, 96): 't3^-1', (1, 18): 't1^-1', (0, 72): 'tau1^-1', (0, 64): 'tau1'}