U-tiling: UQC3225
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2438 |
*222222 |
(2,8,7) |
{7,3} |
{4.4.3.4.4.4.4}{3.4.4} |
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
|
|
sqc8290
|
|
Cmma |
67 |
orthorhombic |
{3,7} |
12 |
(2,8) |
|
G
|
False
|
|
sqc8286
|
|
C2/c |
15 |
monoclinic |
{3,7,7} |
12 |
(3,9) |
|
D
|
False
|
|
sqc2235
|
|
Cmmm |
65 |
orthorhombic |
{7,3} |
6 |
(2,7) |
Topological data
| Vertex degrees | {3,7} |
| 2D vertex symbol | {4.4.3.4.4.4.4}{3.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<49.1:136:35 4 5 40 41 76 77 95 96 80 81 48 49 33 34 52 21 22 57 58 110 111 129 130 114 115 65 66 38 39 127 128 112 113 131 132 67 68 55 56 93 94 78 79 97 98 120 72 73 125 126 133 134 118 119 103 89 90 108 109 116 117 135 136 106 107 123 124,2 20 6 17 8 10 12 14 16 19 23 34 25 27 29 31 33 36 54 40 51 42 44 46 48 50 53 57 68 59 61 63 65 67 70 105 74 85 76 78 80 82 84 87 122 91 102 93 95 97 99 101 104 108 119 110 112 114 116 118 121 125 136 127 129 131 133 135,18 3 5 7 9 11 13 15 17 20 22 24 26 28 30 32 34 52 37 39 41 43 45 47 49 51 54 56 58 60 62 64 66 68 103 71 73 75 77 79 81 83 85 120 88 90 92 94 96 98 100 102 105 107 109 111 113 115 117 119 122 124 126 128 130 132 134 136:4 3 4 4 4 4 4 4 4 4 4 4 3 4 3 4 4 3,3 7 7 3 7 7 3 7 3 7 7 7> {(0, 39): 't1', (0, 135): 'tau1', (0, 51): 't1', (0, 60): 't3^-1', (0, 41): 'tau3^-1*t2', (1, 87): 'tau1^-1', (0, 8): 'tau2^-1*t3^-1', (0, 107): 't2*tau3^-1*t1^-1*tau2*t3', (0, 43): 't2^-1', (0, 125): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 10): 't3', (0, 119): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 102): 'tau1^-1', (1, 104): 'tau1^-1', (0, 57): 't1', (0, 34): 't1', (0, 124): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 24): 'tau3*t2^-1', (0, 59): 'tau2*t3', (0, 100): 'tau1^-1', (0, 26): 't2', (0, 7): 'tau2^-1*t3^-1', (0, 61): 't3^-1', (0, 83): 'tau1', (0, 9): 't3', (0, 40): 't1', (0, 85): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 42): 'tau3^-1*t2', (0, 118): 'tau1^-1', (0, 44): 't2^-1', (0, 25): 'tau3*t2^-1', (0, 56): 't1', (0, 108): 't2*tau3^-1*t1^-1*tau2*t3', (0, 27): 't2', (2, 119): 'tau1', (0, 58): 'tau2*t3', }