A Smörgåsbord of Skyrmions: index, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16
14a ε1.0924 ± 0.0001
b0.9999
r2.7802
VD(3642.5,14143.3,14146.6)
UD(517.2,510.7,509.9)
5.30%symD5d
Two 7a-Skyrmions attached to one another symmetrically.
14b ε1.0941 ± 0.0001
b0.9999
r3.1913
VD(2445.6,20082.2,20083.3)
UD(523.3,530.1,529.7)
0.10%symD4d
A chain of seven 2-tori.
14c ε1.0943 ± 0.0001
b0.9999
r2.4388
VD(5264.5,8239.3,10967.0)
UD(514.9,530.6,525.6)
10.9%symC2h [R. Battye and P. Sutcliffe, Phys. Rev. C73, 055205 (2006)]
Out-of-phase graphene. The ends are capped by half 7a-Skyrmions.
14d ε1.0945 ± 0.0001
b0.9999
r2.7843
VD(3538.5,13904.9,14751.8)
UD(531.9,521.7,508.3)
7.33%symC1h
Part of a 10a-Skyrmion attached to a cube. Or a deformed 8b-Skyrmion attached to a 6a-Skyrmion.
14e ε1.0949 ± 0.0001
b0.9999
r2.7976
VD(3541.9,14077.8,14901.1)
UD(508.4,532.8,521.7)
0.03%symC1h
Similar to the 14d-Skyrmion, but the 4a-Skyrmion is orientated differently.
14f ε1.0951 ± 0.0001
b0.9999
r2.4457
VD(4982.7,8649.7,10933.0)
UD(507.8,530.0,530.4)
0.03%symC1h
Out-of-phase graphene with no C2 symmetry.
14g ε1.0952 ± 0.0001
b0.9999
r2.6000
VD(4090.8,11331.2,12492.1)
UD(533.8,513.5,506.4)
5.70%symC2v
Two deformed 7a-Skyrmions attached to one another.
14h ε1.0953 ± 0.0001
b0.9999
r2.5512
VD(5290.3,9496.3,12124.9)
UD(533.3,517.1,524.9)
18.2%sym
A cube attached to a 10-Skyrmion made from out-of-phase graphene. This 10-Skyrmion cluster is not itself a stable configuration.
14i ε1.0954 ± 0.0001
b0.9999
r2.5816
VD(4218.6,10951.5,12410.5)
UD(514.9,505.9,539.1)
0.10%symC1h
A slightly deformed 7a-Skyrmion, which also features in the 14g solution, attached to symmetric graphene.
14j ε1.0954 ± 0.0001
b0.9999
r2.5275
VD(4494.5,10179.8,11775.5)
UD(541.5,513.1,503.9)
14.8%sym
Similar to the 14d-Skyrmion but the 6a-Skyrmion has a different orientation.
14k ε1.0955 ± 0.0001
b0.9999
r2.5525
VD(5336.5,9459.4,12155.6)
UD(534.2,525.2,517.1)
0.02%symC1h
Similar to the 14h-Skyrmion, but the cube is orientated so that the solution has a reflection symmetry.
14l ε1.0955 ± 0.0001
b0.9999
r2.7344
VD(4105.1,12874.1,14040.5)
UD(528.7,518.8,517.5)
3.85%symC1h
A 7a-Skyrmion, cube and tetrahedron bound together, retaining one reflection symmetry.
14m ε1.0957 ± 0.0001
b0.9999
r2.5335
VD(4526.0,10154.3,11882.9)
UD(535.8,505.3,517.5)
2.22%symC2v
Symmetric graphene.
14n ε1.0957 ± 0.0001
b0.9999
r2.7924
VD(3438.8,14142.1,14842.4)
UD(503.1,530.0,526.3)
0.02%symC1h
A 6a-Skyrmion attached to a deformed 8-Skyrmion.
14o ε1.0958 ± 0.0001
b0.9999
r2.8664
VD(3514.5,14978.1,15681.7)
UD(536.2,511.5,518.0)
0.18%symC1h
A 7a-Skyrmion, tetrahedron and cube bound together, retaining one reflection symmetry. Is analogous to the 9e-Skyrmion.
14p ε1.0958 ± 0.0001
b0.9999
r2.8659
VD(3547.9,15020.2,15576.9)
UD(509.9,524.0,528.7)
0.02%sym
A 7a-Skyrmion attached to part of the 9e-Skyrmion.
14q ε1.0958 ± 0.0001
b0.9999
r2.6382
VD(3836.2,11884.3,13198.7)
UD(535.7,510.5,512.6)
2.27%sym
Asymmetric graphene.
14r ε1.0958 ± 0.0001
b0.9999
r2.6348
VD(3853.6,11828.1,13162.5)
UD(536.4,509.9,512.6)
0.31%sym
One half is symmetric graphene, the other has no reflection symmetry.
14s ε1.0958 ± 0.0001
b0.9999
r2.4899
VD(5392.4,8715.9,11564.2)
UD(548.6,514.5,507.2)
4.83%sym
One half is symmetric graphene, the other has no reflection symmetry.
14t ε1.0958 ± 0.0001
b0.9999
r2.4887
VD(5428.3,8661.5,11556.9)
UD(547.9,515.3,507.8)
2.32%sym
Asymmetric graphene.
14u ε1.0959 ± 0.0001
b0.9999
r2.4642
VD(6292.6,7634.2,11140.1)
UD(555.6,506.2,525.9)
10.6%sym
Two cubes attached to a 6a-Skyrmion.
14v ε1.0959 ± 0.0001
b0.9999
r2.4574
VD(6139.2,7556.9,11333.2)
UD(535.4,519.1,520.3)
2.48%symC1h
A triangle with a cube at one vertex and 5-Skyrmions at the other vertices.
14w ε1.0960 ± 0.0001
b0.9999
r2.9036
VD(3593.2,15368.3,16087.4)
UD(530.9,517.2,522.5)
0.02%symC1h
Similar to the 9e-Skyrmion but with the edge 2-torus replaced with a 7a-Skyrmion.
14x ε1.0960 ± 0.0001
b0.9999
r2.5168
VD(4890.6,9572.1,11766.8)
UD(548.6,511.0,504.6)
0.15%symC1h
A 5a-Skyrmion attached to symmetric graphene.
14y ε1.0961 ± 0.0001
b0.9999
r2.8759
VD(4470.6,13972.0,16037.1)
UD(543.0,531.0,517.7)
0.34%symC1h
The bent chain 12i-Skyrmion with an extra 2-torus joined to one end.
14z ε1.0961 ± 0.0001
b0.9999
r2.7492
VD(5104.5,11835.9,14458.6)
UD(519.5,523.5,549.6)
2.59%sym
An L-shaped solution consisting of two cubes and a 6a-Skyrmion. The outer Skyrmions tilt so that there is no symmetry.
14aa ε1.0961 ± 0.0001
b0.9999
r2.4240
VD(6504.0,6890.5,10801.3)
UD(547.1,509.3,524.3)
0.02%symC2v
Symmetric graphene.
14ab ε1.0962 ± 0.0001
b0.9999
r2.6851
VD(5097.5,11153.8,13693.4)
UD(525.8,529.1,528.2)
0.11%symC1h
Two cubes attached to symmetric graphene.
14ac ε1.0963 ± 0.0001
b0.9999
r2.5474
VD(5618.5,9076.0,12011.4)
UD(515.7,543.8,533.9)
0.77%symC1h
Two cubes attached to a 6a-Skyrmion.
14ad ε1.0963 ± 0.0001
b0.9999
r2.4336
VD(5854.4,7629.9,11029.3)
UD(541.7,514.3,511.9)
0.02%sym
Almost-symmetric graphene.
14ae ε1.0964 ± 0.0001
b0.9999
r2.7871
VD(3365.0,14059.2,14946.7)
UD(551.4,511.1,518.3)
0.41%symC2h
Two cubes attached to symmetric graphene, with high symmetry.
14af ε1.0964 ± 0.0001
b0.9999
r2.9261
VD(3403.2,15724.0,16640.2)
UD(551.7,513.2,509.4)
0.11%sym
A chain 8a-Skyrmion attached to a 6a-Skyrmion.
14ag ε1.0964 ± 0.0001
b0.9999
r2.5530
VD(5238.1,9564.8,12224.7)
UD(502.3,521.9,544.8)
0.05%symC2v
Symmetric graphene with a part jutting out, which can be interpreted as a cube.
14ah ε1.0966 ± 0.0001
b0.9999
r2.5123
VD(4910.2,9604.2,11384.2)
UD(540.0,517.8,515.7)
0.47%sym
A 7a-Skyrmion, tetrahedron and cube bound together, without symmetry.
14ai ε1.0966 ± 0.0001
b0.9999
r2.5832
VD(4124.9,10993.7,12639.6)
UD(529.0,515.9,521.2)
0.24%sym
A 10a-Skyrmion attached to a tetrahedron using a single Skyrmion, without symmetry.
14aj ε1.0966 ± 0.0001
b0.9999
r3.0555
VD(3116.8,17627.0,18308.8)
UD(516.1,539.9,531.2)
0.05%symC1h
A chain 8a-Skyrmion attached to a 6a-Skyrmion. Analogous to the 10f- and 12r-Skyrmions.
14ak ε1.0967 ± 0.0001
b0.9999
r2.4446
VD(6130.3,7668.8,10692.2)
UD(548.4,532.3,518.5)
0.02%sym
Two cubes attached to a 6a-Skyrmion.
14al ε1.0968 ± 0.0001
b0.9999
r2.4877
VD(4913.5,9225.4,11393.3)
UD(514.5,523.8,533.1)
0.36%sym
Deformed out-of-phase graphene.
14am ε1.0968 ± 0.0001
b0.9999
r2.4598
VD(5936.4,7872.6,11086.0)
UD(507.9,531.2,543.0)
0.03%sym
Graphene containing three distinctive cubes.
14an ε1.0968 ± 0.0001
b0.9999
r2.5025
VD(4766.9,9511.0,11576.2)
UD(536.0,526.5,508.9)
0.08%symC1h
Symmetric graphene.
14ao ε1.0969 ± 0.0001
b0.9999
r2.7569
VD(3808.6,13275.1,14597.7)
UD(512.1,527.0,539.4)
0.18%symC2v
A 10a-Skyrmion whose ends have been deformed into cubes.
14ap ε1.0969 ± 0.0001
b0.9999
r2.4691
VD(5974.6,7880.1,11275.1)
UD(555.4,508.4,523.1)
0.02%sym
A cubes and two 5-Skyrmions bound together, without symmetry.
14aq ε1.0970 ± 0.0001
b0.9999
r2.5504
VD(4634.1,10195.3,12121.6)
UD(507.4,534.5,523.8)
0.10%sym
Asymmetric fullerene.
14ar ε1.0973 ± 0.0001
b0.9999
r2.7696
VD(3427.8,13974.9,14533.6)
UD(510.5,530.4,522.8)
0.05%symC1h
A long structure with cubes and a 7a-Skyrmion on its ends.
14as ε1.0973 ± 0.0001
b0.9999
r2.5663
VD(4303.4,10682.1,12324.9)
UD(504.0,528.4,529.7)
0.02%symC1h
Symmetric graphene.
14at ε1.0974 ± 0.0001
b0.9999
r2.4708
VD(5398.1,8522.1,11355.4)
UD(516.1,529.4,528.0)
0.08%symC1h
Symmetric graphene.
14au ε1.0974 ± 0.0001
b0.9999
r2.6567
VD(3961.5,12450.5,12901.7)
UD(526.9,518.3,514.0)
0.02%sym
A 10a-Skyrmion and 6a-Skyrmion attached to one another, sharing an edge.
14av ε1.0974 ± 0.0001
b0.9999
r2.8090
VD(4685.1,12975.7,15247.5)
UD(521.9,537.2,530.6)
0.18%symC1h
Bent chain analogous to the 11i-Skyrmion.
14aw ε1.0975 ± 0.0001
b0.9999
r2.5291
VD(4338.5,10433.1,11686.0)
UD(509.7,522.9,525.1)
0.02%symC2v
Part of the unstable D6h-symmetric 10-Skyrmion (also seen in the 12s-Skyrmion) attached to a 7a-Skyrmion.
14ax ε1.0975 ± 0.0001
b0.9999
r2.6750
VD(4335.2,11863.8,13585.6)
UD(508.7,529.4,537.7)
0.42%symC1h
Symmetric graphene attached to a cube. Analogous to the 12p-Skyrmion.
14ay ε1.0976 ± 0.0001
b0.9999
r2.6839
VD(5071.4,11706.1,13122.2)
UD(551.7,527.4,518.2)
0.41%sym
A 8a-Skyrmion loosely attached to a 6a-Skyrmion.
14az ε1.0976 ± 0.0001
b0.9999
r2.8490
VD(4172.8,13985.6,15737.9)
UD(552.0,519.4,514.2)
0.08%symC1h
A chain, similar to the 14av-Skyrmion.
14ba ε1.0976 ± 0.0001
b0.9999
r2.4677
VD(5961.3,8481.6,10541.7)
UD(555.6,528.0,518.5)
0.15%symC1h
A 8a-Skyrmion loosely attached to a 6a-Skyrmion.
14bb ε1.0978 ± 0.0001
b0.9999
r2.6079
VD(5052.5,10431.4,12806.0)
UD(513.1,526.9,534.2)
0.03%sym
The rocket-like 11d-Skyrmion attached to a tetrahedron.
14bc ε1.0978 ± 0.0001
b0.9999
r2.4171
VD(5643.2,7698.1,10611.2)
UD(523.6,531.7,529.7)
0.03%symC1h
Solution with approximate C3 symmetry and approximate C2v symmetry, but possessing neither. One side is slightly concave while the other is slightly convex.
14bd ε1.0978 ± 0.0001
b0.9999
r2.6424
VD(4609.6,11850.3,12542.0)
UD(547.1,513.7,523.0)
0.54%sym
A deformed chain.
14be ε1.0979 ± 0.0001
b0.9999
r2.7578
VD(3783.9,13385.8,14543.0)
UD(535.9,510.9,518.5)
0.02%sym
The base of the solution looks like symmetric graphene with a tetravalent vertex, with a tetrahedron attached.
14bf ε1.0979 ± 0.0001
b0.9999
r2.7891
VD(3693.2,13796.4,14983.4)
UD(512.0,521.3,533.8)
0.16%sym
Two clusters. Perhaps a D4h version of the 9b-Skyrmion attached to a 5a-Skyrmion.
14bg ε1.0987 ± 0.0001
b0.9999
r2.9517
VD(2989.6,16646.6,16878.3)
UD(533.0,526.0,522.7)
0.02%sym
Long chain with approximate C1h symmetry.
14bh ε1.0994 ± 0.0001
b0.9999
r2.3048
VD(5406.8,7652.6,8649.1)
UD(538.8,529.8,523.1)
0.07%sym
Two deformed shells with a single Skyrmion inside.
14bi ε1.0995 ± 0.0001
b0.9999
r2.6500
VD(4731.3,11879.0,12567.4)
UD(516.0,521.3,523.9)
0.03%symC1h
A 8b-Skyrmion loosely attached to a 6a-Skyrmion, retaining one reflection symmetry.
14bj ε1.0996 ± 0.0001
b0.9999
r2.2796
VD(5882.0,7098.9,8262.5)
UD(538.7,519.8,527.4)
0.13%sym
A shell with a single Skyrmion inside.
14bk ε1.1003 ± 0.0001
b0.9999
r2.2750
VD(6326.2,6340.2,8108.4)
UD(518.9,559.6,559.9)
0.02%sym
The triangular 12h-Skyrmion with a 2-torus attached. There is a way to combine the objects while preserving C3 symmetry, but the solution has slightly broken this symmetry.
14bl ε1.1012 ± 0.0001
b0.9999
r2.2471
VD(5277.9,7415.4,7568.5)
UD(521.5,556.6,560.7)
0.02%symC2v
A peculiar solution. There is a distinct 2-torus on one side and two single Skyrmions on the other side. The center could then be constructed from two deformed 5a-Skyrmions.