U-tiling: UQC6012
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2429 |
*222222 |
(6,8,2) |
{4,4,4,4,4,4} |
{8.8.8.8}{8.8.8.8}{8.4.4.8}{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
|
|
sqc1706
|
|
Pmmm |
47 |
orthorhombic |
{4,4,4,4,4,4} |
8 |
(6,8) |
|
G
|
False
|
|
sqc7753
|
|
C2/c |
15 |
monoclinic |
{4,4,4,4,4,4} |
16 |
(6,9) |
|
D
|
False
|
|
sqc7759
|
|
Imma |
74 |
orthorhombic |
{4,4,4,4,4,4} |
16 |
(6,8) |
Topological data
| Vertex degrees | {4,4,4,4,4,4} |
| 2D vertex symbol | {8.8.8.8}{8.8.8.8}{8.4.4.8}{8.8.4.4}{4.4.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<44.3:128:65 3 5 7 9 11 13 15 80 97 19 21 23 25 27 29 31 112 113 35 37 39 41 43 45 47 128 81 51 53 55 57 59 61 63 96 67 69 71 73 75 77 79 83 85 87 89 91 93 95 99 101 103 105 107 109 111 115 117 119 121 123 125 127,2 4 6 16 10 15 12 14 18 20 22 32 26 31 28 30 34 36 38 48 42 47 44 46 50 52 54 64 58 63 60 62 66 68 70 80 74 79 76 78 82 84 86 96 90 95 92 94 98 100 102 112 106 111 108 110 114 116 118 128 122 127 124 126,81 66 67 36 37 8 9 42 43 28 29 46 47 48 113 98 99 52 53 24 25 58 59 62 63 64 97 114 115 40 41 60 61 65 82 83 56 57 116 117 72 73 122 123 108 109 126 127 128 100 101 88 89 106 107 124 125 110 111 112 104 105 120 121:8 4 8 4 8 4 8 4 4 4 4 4,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(2, 61): 't1', (2, 62): 't1', (2, 63): 't1', (0, 63): 'tau2*t3', (0, 48): 'tau2*t3', (2, 48): 't3^-1', (2, 45): 't1', (2, 46): 't1', (2, 47): 't1', (0, 47): 'tau3^-1*t2', (0, 32): 'tau3^-1*t2', (2, 32): 't2^-1', (0, 31): 'tau3*t2^-1', (0, 16): 'tau3*t2^-1', (2, 16): 't2', (0, 15): 'tau2^-1*t3^-1', (0, 0): 'tau2^-1*t3^-1', (2, 0): 't3', (2, 124): 'tau1', (2, 125): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 126): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 127): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 123): 'tau1', (2, 108): 'tau1^-1', (2, 109): 't2*tau3^-1*t1^-1*tau2*t3', (2, 110): 't2*tau3^-1*t1^-1*tau2*t3', (2, 111): 't2*tau3^-1*t1^-1*tau2*t3', (2, 107): 'tau1^-1'}