An Alternate View of Nuclear Structure:
Surface Available by Baryon Count
Aran David Stubbs
This table has least surface for all cases, then for low dipole, then for zero dipole. Each cell has solution layout, max z supported by surface, 1 or more dipole calculations, and max Z supported for near zero dipole. Dipole calculation is either: dominant type plus subordinate type if axis of dipole is even in length, or dominant plus subordinate plus equator length over 2 if axis with maximum dipole is odd in length. Dipole needs to be calculated on all 7 planes (3 related to the x, y, and z axises and 4 related to the pairs of faces). Often a face plane has the largest dipole. For instance Helium 4 as a cube can be split by 13 planes passing through the origin. In 3 of these the split is 2+2 (for planes like the xy), in 6 it is 1+1 with 4 on the equator (for planes including an axis, diagonally through 4 spheres), in the other 4 (perpendicular to a line passing diagonally through 2 corners) it is 3+1: . Odd length diagonals are never high dipole, due to reflective symmetry. In this context low dipole means the maximum z that can be supported without dipole is within 4 of the maximum z for the surface. Maximum z that can be supported assumes the diquark dominated hemi-octahedron has all its monoquarks as ups, and the monoquark dominated hemisphere has just enough charge to balance (rounding up to the nearest integer). Also see the complete solutions table, which includes many solutions beyond the least surface, some of which may match the actual nuclei (especially for medium size isotopes where 5 to 7 surface downs are reasonable). Only solutions with reflective symmetry and valid parity (monoquark count equals diquark count) are included. Many solutions have links to a Sketchup drawing of the solution. A few extra solutions that happened to be especially pretty were also added, especially for high baryon counts, where the least surface is too small for the ideal z.
A standard naming convention based on simple descriptions of the solutions is used: E for eccentric (relative to a 2x2x2 core is not otherwise stated, O for a 1x1x1 core, and Q for a 4x4x4 core), S for standard skew (3x3 – 2 spheres), T for thin skew (2x3 – 2 spheres), H for half-fat skew (3x4 – 2 spheres), F for fat skew (4x4 – 2 spheres), and D for Diagonal. Some hybrid types (combining eccentric and 1of the other types) are also given. From the base solution, there are derivatives adding or subtracting spheres (s), hexagons (h), or triangles (t), with a count of items added preceding the letter and a size for triangles and hexagons following. T2 is 3 spheres, t3 is 6, h2 is 7 spheres, h3 12, etc.. In some cases an intermediate form is added (t4-2s, for example). Many structures can be extended without increasing the surface; the extended form has an x suffix. L designates layer: how many times the solutions can have its entire surface removed until there is nothing left. See complete table for more details on solution naming convention. In many cases multiple additions and/or subtractions occur. 2 miscellaneous forms that are not body centered cubic structures (for baryon count 3 and 5) are also included.
Following each solution description is a dipole calculation. This gives the count of the 2 types for each hemisphere along the axis with the most dipole, with an equatorial count over 2 for cases with odd axis length, and a maximum z without dipole that results. Example: baryon count 125, solution DE-1L5 (an eccentric diagonal solution) has formula 55:48+7;42 (++ axis). There are 55 surface monoquarks; each hemisphere has 55 spheres (no equator). In the diquark dominated hemisphere 48 diquarks and 7 monoquarks have a maximum charge of 62/3, so the maximum z is 42, calculated on the diagonal axis protruding into the ++ octant. This requires 13 surface downs, so is not a low dipole solution. In cases with an equator, the charges on the 2 hemispheres add to the equatorial charge. Some cells also have a bond count calculation. Since a bond connects a pair of spheres, the bond count is half the sum of the bonds projecting from each sphere. Interior spheres each have 6 bonds, surface have from 1 to 5 each. In cases where 2 solutions have about the same surface, and dipole is not an issue, the solution with the most bonds is preferred. For the small nuclei, where all bond counts have been calculated, the highest bond count solution is highlighted in yellow.
A |
Overall |
Low Dipole |
Zero Dipole |
1 |
E-1-1L1 |
E-1-1L1 |
|
2 |
Tetrahedron |
Tetrahedron |
E+0-1L1 |
3 |
Octahedron |
Misc3 |
|
4 |
T001L1 |
T001L1 |
T001L1 |
5 |
Misc5 |
Misc5 |
|
6 |
E-1-1L2 |
E-1-1L2 |
E+0+1L1 |
7 |
E-1-1L2+2s (DS011L2) |
E-1-1L2+2s (DS011L2) |
|
8 |
S001xL1 |
S001xL1 |
E+0-1L2-4s (E+0+1L1+4s) |
9 |
S001xL1+2s |
S001xL1+2s |
|
10 |
E+0-1L2 |
E+0-1L2 |
E+0-1L2 |
11 |
E+0+3oL2 |
E+0+3oL2 |
|
12 |
E+0-1L2+4s |
E+0-1L2+4s |
E+0-1L2+4s |
13 |
D-1L2 (S000L2-2t2) |
D-1L2 (S000L2-2t2) |
|
14 |
S011xL2 |
S011xL2 |
E+1+2xL1 |
15 |
S011xL2+2s |
S011xL2+2s |
|
16 |
E+0-1L2+4t2 (T001L2) |
E+0-1L2+4t2 (T001L2) |
E+0-1L2+4t2 (T001L2) |
17 |
S000L2+2s |
S000L2+2s |
|
18 |
E-1-1L3-2s |
E-1-1L3-2s |
|
19 |
E-1-1L3 |
E-1-1L3 |
|
20 |
E-1-1L3+2s |
E-1-1L3+2s |
E+0+1L2-4s |
21 |
E-1-1L3+2t2-2s |
E-1-1L3+2t2-2s |
|
22 |
DS001L3 |
DS001L3 (S000L2+2t3 Or S111xL2-2s) |
E+0+1L2 |
23 |
S111xL2 |
|
|
24 |
S001L2 (E-1-1L3+4t2-2s) |
S001L2 (E-1-1L3+4t2-2s) |
E+0-1L3-8s |
25 |
S001xL2 (E-1-1L3+4t2) |
S001xL2 (E-1-1L3+4t2) |
|
26 |
E+0-1L3-2V |
E+0-1L3-2V |
E+0-1L3-4s |
27 |
E+2+3oxL2 |
E+2+3oxL2 |
|
28 |
E+0-1L3 |
E+0-1L3 |
E+0-1L3 |
29 |
S111L2+2t3 |
S111L2+4t2 |
|
30 |
E+0-1L3+4s |
E+0-1L3+4s |
E+0-1L3+4s |
31 |
S001xL2+2t3 (S002xL2-6s) |
S001xL2+2t3 (S002xL2-6s) |
|
32 |
E+0+3oL3 |
E+0+3oL3 |
E+0-1QxL2 |
33 |
E-1-1L4-2t4-2s (DE-1L3-2s) |
E-1-1L4-2t4-2s (DE-1L3-2s) |
|
34 |
E-1-1L4-2t4 (DE-1L3) |
E-1-1L4-2t4 (DE-1L3) |
E+0-1L3+4t2 |
35 |
DE-1L3+2s |
|
|
36 |
S011L3+2s |
S011L3+2s |
E+0-1L3+4t2+4s |
37 |
S011xL3 |
S011xL3 |
|
38 |
E+0-1L3+(4t3-4s) |
E+0-1L3+(4t3-4s) |
E+0-1L3+(4t3-4s) |
39 |
S000L3-2s |
S000L3-2s |
|
40 |
S000L3 |
S000L3 |
E+0-1L3+4t3 (T001L3) |
41 |
S000L3+2s |
S000L3+2s |
|
42 |
E-1-1L4-2V |
T001L3+4s |
T001L3+4s |
43 |
E-1-1L4-2s |
DT1L3 |
|
44 |
E-1-1L4 |
Pretty: S000L3+8s |
T001L3+8s |
45 |
E-1-1L4+2s |
DT1L3+4s (equator) |
|
46 |
S000L3+2t3 |
E-1+2L3 |
E-1+2L3 |
47 |
E-1-1L4+2t2 |
S000L3+2t3+2s |
|
48 |
E-1-1L4+(2t3-2s)-2s |
S000L3+2t3+4s |
E+0+1L3-8s |
49 |
DS001L4-2s |
S000L3+2t3+2t2 |
|
50 |
DS001L4 |
E+0+1L3-4s |
E+0+1L3-4s |
51 |
DS001L4+2s |
S111L3+2s |
|
52 |
E+0+1L3 (T001L3+4t3) |
E+0+1L3 (T001L3+4t3) |
E+0+1L3 (T001L3+4t3) |
53 |
E-1-1L4+2t3+2t2 |
E-1-1L4+2t3+2t2 |
|
54 |
S001L3-2s |
S001L3-2s |
E+0-1L4-12s |
55 |
S001L3 |
S001L3 |
|
56 |
S001xL3 (E-1-1L4+4t3) |
S001xL3 (E-1-1L4+4t3) |
E+0-1L4-8s |
57 |
S001xL3+2s |
S001xL3+2s |
|
58 |
E+0-1L4-2V |
E+0-1L4-2V |
E+0-1L4-4s |
59 |
S001xL3+2t2 |
S001xL3+2t2 |
|
60 |
E+0-1L4 (T001L3+4t4) |
E+0-1L4 (T001L3+4t4) |
E+0-1L4 (T001L3+4t4) |
61 |
S001xL3+2t3-2s |
S001xL3+2t3-2s |
|
62 |
E+0-1L4+4s |
E+0-1L4+4s |
E+0-1L4+4s |
63 |
S001xL3+2t3+2s |
S001xL3+2t3+2s |
|
64 |
S001xL3+2t4-4s |
S001xL3+2t4-4s |
E+0-1L4+8s |
65 |
S001xL3+2t4-2s |
S001xL3+2t4-2s |
|
66 |
S001xL3+2t4 |
E+0-1L4+4t2 |
E+0-1L4+4t2 |
67 |
D-1L4-6s |
D-1L4-6s |
|
68 |
D-1L4-4s |
D-1L4-4s |
E+0-1L4+4t2+4s |
69 |
D-1L4-2s |
E+0+3oL4 |
|
70 |
D-1L4 (S000L4-2t4) |
E+0-1L4+4t3-4s |
E+0-1L4+4t3-4s |
71 |
D-1L4+2s |
S002L3+2s |
|
72 |
E+0-1L4+4t3 |
E+0-1L4+4t3 |
E+0-1L4+4t3 |
73 |
D-1L4+2t2 |
D-1L4+2t2 |
|
74 |
S011L4 |
S011L4 |
E+0-1L4+4t3+4s |
75 |
D-1L4+2t3-2s |
D-1L4+2t3-2s |
|
76 |
D-1L4+2t3 (S000L4-8s stripe) |
D-1L4+2t3 |
T001L4-8s |
77 |
S000L4-6s |
S000L4-6s |
|
78 |
T001L4-4s |
T001L4-4s |
Pretty: E+0-1L4+4t3+4t2 |
79 |
S000L4-2s |
S000L4-2s |
|
80 |
E+0-1L4+4t4 (T001L4) |
Pretty: S000L4 |
E+0-1L4+4t4 (T001L4) |
81 |
S000L4+2s |
S000L4+2s |
|
82 |
E-1-1L5-2V-2s |
E+0-1L4+4t4+4s (T001L4+4s) |
T001L4+4s |
83 |
E-1-1L5-2V |
S000L4+2t2 |
|
84 |
E-1-1L5-2s |
S000L4+2t2+2s |
|
85 |
E-1-1L5 |
S000L4+2t3-2s |
|
86 |
E-1-1L5+2s |
DT1L4 |
T001L4+4t2 |
87 |
E-1-1L5+2t2-2s |
S000L4+2h2 |
|
88 |
E-1-1L5+2t2 |
S000L4+2t4-4s |
E-1+2L4-2V |
89 |
S000L4+2t4-2s |
Pretty: S111L4-18s 3 stripes |
|
90 |
S000L4+2t4 |
Pretty: S111L4-18s+2s |
E-1+2L4-2V |
91 |
E-1-1L5+2t3 |
S000L4+2t4+2s |
|
92 |
DS001L5-6s |
E-1+2L4 |
E-1+2L4 |
93 |
DS001L5-4s |
S012L4 |
|
94 |
DS001L5-2s |
S012L4+2s |
E+0+1L4-12s |
95 |
DS001L5 |
S111L4-6s (equator) |
|
96 |
DS001L5+2s |
S012xL4 |
E+0+1L4-8s |
97 |
DS001L5+2t2-2s |
S111L4-2s |
|
98 |
DS001L5+2t2 |
E+0+1L4-4s |
E+0+1L4-4s |
99 |
S111L4+2s |
S111L4+2s |
|
100 |
E+0+1L4 |
E+0+1L4 |
|
101 |
S111xL4 |
S001L4-6s |
|
102 |
S001L4-4s |
S001L4-4s |
E+0-1L5-16s |
103 |
S001L4-2s |
S001L4-2s |
|
104 |
S001L4 (E-1-1L5+4t4-2s) |
S001L4 (E-1-1L5+4t4-2s) |
E+0-1L5-12s |
105 |
S001xL4 (E-1-1L5+4t4) |
S001L4+2s face |
|
106 |
E+0-1L5-8s (4V (small) |
E+0-1L5-8s (4V (small) |
E+0-1L5-8s (4V (small) |
107 |
S001L4+2t2 |
S001L4+2t2 |
|
108 |
E+0-1L5-2V (small) |
E+0-1L5-2V (small) |
E+0-1L5-4s |
109 |
S001L4+2t3-2s |
S001L4+2t3-2s |
|
110 |
E+0-1L5 |
E+0-1L5 |
E+0-1L5 |
111 |
S001xL4+2t3 |
S001xL4+2t3 |
|
112 |
E+0-1L5+4s |
E+0-1L5+4s |
E+0-1L5+4s |
113 |
D-1L5-24s |
Pretty: S112L4-18s 3 stripes |
|
114 |
D-1L5-22s |
E+0-1L5+8s |
E+0-1L5+8s |
115 |
D-1L5-2h5+2t5 |
S001xL4+4t3-4s |
|
116 |
E+0-1L5+4t2 |
E+0-1L5+4t2 |
E+0-1L5+4t2 |
117 |
D-1L5-16s |
S001xL4+4t3 |
|
118 |
D-1L5-14s |
E+0-1L5+4t2+4s |
E+0-1L5+4t2+4s |
119 |
D-1L5-12s |
E+0+2L4-2s |
|
120 |
D-1L5-10s (equator) |
E+0-1L5+4t3-4s |
E+0-1L5+4t3-4s |
121 |
(D-1L5-10s)+2s |
S001xL4+2t4+2t3 |
|
122 |
D-1L5-6s |
E+0-1L5+4t3 |
Pretty: E+0-1L5+8t2 |
123 |
D-1L5-4s |
Pretty: S001xL4+4t4-4s (E+1+1xL4-4s) |
|
124 |
D-1L5-2s |
Pretty: S001L4+4t4 (E+1+1L4) |
E+0-1L5+4t3+4s |
125 |
D-1L5 (S000L5-2t5) |
Pretty: S001xL4+4t4 |
|
126 |
D-1L5+2s |
E+0-1L5+4t4-8s |
E+0-1L5+4t4-8s |
127 |
(D-1L5-2s) +2t2 |
S002L4-2s |
|
128 |
D-1L5+2t2 |
E+0-1L5+4t4-4s |
E+0-1L5+4t4-4s |
129 |
S002L4+2s vertex |
S002L4+2s face |
|
130 |
E+0-1L5+4t4 |
E+0-1L5+4t4 |
E+0-1L5+4t4 |
131 |
D-1L5+2t3 |
S011L5-4s |
|
132 |
S011L5-2s |
S011L5-2s |
E+0-1L5+4t4+4s |
133 |
S011L5 |
S011L5 |
|
134 |
S011L5+2s |
S011L5+2s |
Pretty: E+0-1L5+8t3 |
135 |
S011xL5 |
S011xL5 |
|
136 |
E+0-1L5+4t5-8s |
E+0-1L5+4t5-8s |
E+0-1L5+4t5-8s |
137 |
S000L5-6s |
S000L5-6s |
|
138 |
E+0-1L5+4t5-4s |
E+0-1L5+4t5-4s |
E+0-1L5+4t5-4s |
139 |
S000L5-2s |
S000L5-2s |
|
140 |
E+0-1L5+4t5 (T001L5) |
E+0-1L5+4t5 (T001L5) |
E+0-1L5+4t5 (T001L5) |
141 |
S000L5+2s |
S000L5+2s |
|
142 |
E-1-1L6-4V |
T001L5+4s |
Pretty: E+0-1L5+4t4+4t3 |
143 |
E-1-1L6-4V |
Pretty: S000L5+2t2 |
|
144 |
E-1-1L6-2V |
DT1L5-12s |
T001L5+8s |
145 |
E-1-1L6-2s |
DT1L5-10s stripe |
|
146 |
E-1-1L6 |
Pretty: S000L5+2t3 |
T001L5+4t2 |
147 |
E-1-1L6+2s |
DT1L5-6s |
|
148 |
E-1-1L6+2t2-2s |
DT1L5-4s |
E+1+2L4 |
149 |
E-1-1L6+2t2 |
DT1L5-2s |
|
150 |
S000L5+2t4 |
DT1L5-2s+2s (elsewhere) |
E+1+2xL4 |
151 |
E-1-1L6+2t3-2s |
DT1L5-2s+4s (elsewhere) |
|
152 |
E-1-1L6+2t3 |
T001L5+4t3 |
T001L5+4t3 |
153 |
S000L5+2t5-4s |
DT1L5+2t2 |
|
154 |
S000L5+2t5-2s |
S1E+2xL5 |
E-1+2L5-4V |
155 |
S000L5+2t5 |
DT1L5+2t3-2s |
|
156 |
E-1-1L6+2t4 |
S111L5-30s 3 stripes |
E-1+2L5-2V |
157 |
E-1-1L6+2t5-4V |
DT1L5+2t3+2s |
|
158 |
E-1-1L6+2t5-2V-2s |
E-1+2L5-2V |
E-1+2L5-2V |
159 |
E-1-1L6+2t5-2V |
Pretty: S111L5-24s+2t2 |
|
160 |
E-1-1L6+2t5-2s |
E-1+2L5 |
E-1+2L5 |
161 |
S000L5+2t6 (DS001L5) |
DT1L5+2t4+2s |
|
162 |
E-1-1L6+2t5+2s |
DT1L5+2h3 |
T001L5+4t4+4s |
163 |
E-1-1L6+2t5+2t2-2s |
DT1L5+2t5-4s |
|
164 |
E-1-1L6+2t5+2t2 |
DT1L5+2t5-2s |
E+0+1L5-12s |
165 |
DT1L5+2t5 |
DT1L5+2t5 |
|
166 |
E-1-1L6+2t5+2t3-2s |
E+0+1L5-8s |
E+0+1L5-8s |
167 |
E-1-1L6+2t5+2t3 |
S001L5-16s |
|
168 |
E+0+1L5-4s |
E+0+1L5-4s |
E+0+1L5-4s |
169 |
E-1-1L6+2t5+2t4-2V |
S001L5-12s |
|
170 |
E+0+1L5 |
E+0+1L5 |
E+0+1L5 |
171 |
E-1-1L6+2t5+2t4 |
S001L5-8s |
|
172 |
E-1-1L6+4t5-4V |
E-1-1L6+4t5-4V |
E+0+1L5+4s |
173 |
E-1-1L6+4t5-4V |
E-1-1L6+4t5-4V |
|
174 |
E-1-1L6+4t5-2V |
Pretty: E-1-1L6+8h2 |
E+0-1L6-16s |
175 |
E-1-1L6+4t5-2s |
E-1-1L6+4t5-2s |
|
176 |
E-1-1L6+4t5 |
E-1-1L6+4t5 |
E+0-1L6-12s |
177 |
S001xL5+2s |
S001xL5+2s |
|
178 |
E+0-1L6-8s (4V (small) |
E+0-1L6-8s (4V (small) |
E+0-1L6-8s (4V (small) |
179 |
S001xL5+2t2 |
S001xL5+2t2 |
|
180 |
E+0-1L6-2V |
E+0-1L6-2V |
E+0-1L6-4s |
181 |
S001xL5+2t3-2s |
S001xL5+2t3-2s |
|
182 |
E+0-1L6 |
E+0-1L6 |
E+0-1L6 |
183 |
D-1L6-40s (D-2L5+2t5-4s) |
D-1L6-40s (D-2L5+2t5-4s) |
|
184 |
E+0-1L6+4s |
E+0-1L6+4s |
E+0-1L6+4s |
185 |
D-1L6-36s (D-2L5+2t5) |
D-1L6-36s (D-2L5+2t5) |
|
186 |
S001xL5+2t4 |
E+0-1L6+8s |
E+0-1L6+8s |
187 |
D-1L6-32s |
Pretty S001xL5+(2t4-4s)+2t2 |
|
188 |
E+0-1L6+4t2 |
E+0-1L6+4t2 |
E+0-1L6+4t2 |
189 |
D-1L6-28s |
S001xL5+4t3+2s |
|
190 |
D-1L6-26s |
E+0-1L6+4t2+4s |
E+0-1L6+4t2+4s |
191 |
D-1L6-24s |
S112L4-24s 3 stripes |
|
192 |
D-1L6-22s |
E+0-1L6+4t3-4s |
E+0-1L6+4t3-4s |
193 |
D-1L6-20s |
S001xL5+4h2+2t2 |
|
194 |
D-1L6-18s |
E+0-1L6+4t3 |
E+0-1L6+4t3 |
195 |
D-1L6-16s |
S001xL5+4t4-8s+2t2 |
|
196 |
D-1L6-14s |
E+0-1L6+4h2 |
E+0-1L6+4h2 |
197 |
D-1L6-12s |
S001xL5+4t4-4s+2t2 |
|
198 |
D-1L6-10s |
E+0-1L6+4t4-8s |
E+0-1L6+4t4-8s |
199 |
D-1L6-8s |
S002L5-22s |
|
200 |
D-1L6-6s |
E+0-1L6+4t4-4s |
E+0-1L6+4t4-4s |
201 |
D-1L6-4s |
S002L5-18s |
|
202 |
D-1L6-2s |
E+0-1L6+4t4 |
E+0-1L6+4t4 |
203 |
S000L6-2t6 |
S002L5-14s |
|
204 |
D-1L6+2s |
E+0-1L6+4t4+4s |
E+0-1L6+4t4+4s |
205 |
D-1L6+4s |
S002L5-10s |
|
206 |
D-1L6+2t2 |
E+0-1L6+4h3 |
E+0-1L6+4h3 |
207 |
S112xL5 |
S002L5-6s |
|
208 |
D-1L6+2t3-2s |
E+0-1L6+4t5-8s |
E+0-1L6+4t5-8s |
209 |
D-1L6+2t3 |
S011L6-14s |
|
210 |
E+0-1L6+4t5-4s |
E+0-1L6+4t5-4s |
Pretty: E+0-1L5+8h2 |
211 |
S011L6-10s |
S011L6-12s+2s |
|
212 |
E+0-1L6+4t5 |
E+0-1L6+4t5 |
E+0-1L6+4t5 |
213 |
DE-1L6+2t4 |
S000L6-22s |
|
214 |
S011L6-4s |
E+0-1L6+4t5+4s |
E+0-1L6+4t5+4s |
215 |
S011L6-2s |
S000L6-18s |
|
216 |
D-1L6+2t5-4s |
E+0-1L6+4t6-16s |
E+0-1L6+4t6-16s |
217 |
D-1L6+2t5-2s |
S000L6-14s |
|
218 |
D-1L6+2t5 |
E+0-1L6+4t6-12s |
E+0-1L6+4t6-12s |
219 |
S000L6-2V-2s |
S000L6-2V-2s |
|
220 |
E+0-1L6+4t6-8s |
E+0-1L6+4t6-8s |
E+0-1L6+4t6-8s |
221 |
S000L6-6s |
S000L6-6s |
|
222 |
E+0-1L6+4t6-4s (T001L6-4s) |
E+0-1L6+4t6-4s (T001L6-4s) |
E+0-1L6+4t6-4s |
223 |
S000L6-2s |
S000L6-2s |
|
224 |
E+0-1L6+4t6 (T001L6) |
Pretty: S000L6 |
E+0-1L6+4t6 (T001L6) |
225 |
S000L6+2s |
S000L6+2s |
|
226 |
E-1-1L7-6V |
T001L6+4s |
T001L6+4s |
227 |
E-1-1L7-4V |
S000L6+2t2 |
|
228 |
E-1-1L7-2V-2s |
S000L6+2t2+2s |
T001L6+8s |
229 |
E-1-1L7-2V |
S000L6+2t3-2s |
|
230 |
E-1-1L7-2s |
S000L6+2t3 |
T001L6+4t2 |
231 |
E-1-1L7 |
S000L6+2t3+2s |
|
232 |
E-1-1L7+2s |
S000L6+2t4-4s |
Pretty: E+0-1L6+4t5+4t4 |
233 |
E-1-1L7+2t2-2s |
S000L6+2t4-2s |
|
234 |
E-1-1L7+(2t3-2s) |
DT1L6-12s+2s elsewhere |
T001L6+4t3-4s |
235 |
E-1-1L7+2t3-2V |
DT1L6-12s+4s elsewhere |
|
236 |
E-1-1L7+2t3-2s |
Pretty: S000L6+8t2 |
T001L6+4t3 |
237 |
E-1-1L7+2t3 |
DT1L6-12s+2t2+2s |
|
238 |
DT1L6-2s |
DT1L6-12s+(2t3-2s) |
E+1+2L5-4s |
239 |
DT1L6 |
DT1L6-12s+2t3 |
|
240 |
E-1-1L7+2t4-2s |
E+1+2L5 |
E+1+2L5 |
241 |
E-1-1L7+2t4 |
DT1L6-12s+(2t4-4s) |
|
242 |
S001xL7-2t7-4s |
E+1+2xL5 |
E+1+2xL5 |
243 |
S001xL7-2t7-4s |
DT1L6-12s+2t4 |
|
244 |
S001xL7-2t7-2s |
T001L6+4t4 |
Pretty: |
245 |
S001xL7-2t7 |
S1E+2L6-2s |
|
246 |
E-1-1L7+2t5 |
Pretty: S111L6-48s+2t3 |
E-1+2L6-16s |
247 |
E-1-1L7+2t6-4V-2s |
DT1L6-4s+2t4 |
|
248 |
E-1-1L7+2t6-4V |
DT1L6-2s+2t4 |
E-1+2L6-12s |
249 |
E-1-1L7+2t6-2V-2s |
S111L6-30s 3 stripes |
|
250 |
E-1-1L7+2t6-2V |
E-1+2L6-8s |
E-1+2L6-8s |
251 |
E-1-1L7+2t6-2s |
DT1L6-2s+2t4+2t2 |
|
252 |
S000L6+2t7 (DS001L7) |
Pretty S000L6+8h2 |
E-1+2L6-4s |
253 |
E-1-1L7+2t6+2s |
S012L6-8s |
|
254 |
E-1-1L7+2t6+2t2-2s |
E-1+2L6 |
E-1+2L6 |
255 |
E-1-1L7+2t6+(2t3-2s) |
S012L6-4s |
|
256 |
E-1-1L7+2t6+2t3-2V |
E-1+2L6+4s (equator) |
Pretty: |
257 |
E-1-1L7+2t6+2t3-2s |
S111L6-14s |
|
258 |
E-1-1L7+2t6+2t3 |
E-1+2L6+8s (equator) |
E+0+1L6-16s |
259 |
S111L6-10s stripe |
Pretty: S222L6-66s |
|
260 |
S001L6-24s 2 stripes |
S001L6-24s 2 stripes |
E+0+1L6-12s |
261 |
E-1-1L7+2t6+2t4-2s |
S001L6-22s |
|
262 |
E-1-1L7+2t6+2t4 |
Pretty: S222L6-60s |
E+0+1L6-2V |
263 |
S001L6-18s stripe |
S001L6-18s stripe |
|
264 |
E-1+2L6+20s (equator) |
Pretty S000L6+8t4 |
Pretty: |
265 |
S001L6-14s stripe |
Pretty: S222L6-54s 6 stripes |
|
266 |
E+0+1L6(S000L6+4t6 |
E+0+1L6(S000L6+4t6 |
E+0+1L6(S000L6+4t6 |
267 |
E-1-1L7+2t6+2t5 |
S001L6-10s |
|
268 |
E-1-1L7+4t6-4V-2s |
E+0-1L7-6V-8s |
E+0-1L7-6V-8s |
269 |
E-1-1L7+4t6-4V |
S001L6-12s+2t2 |
|
270 |
E-1-1L7+4t6-2V-2s |
E+0-1L7-6V-4s |
E+0-1L7-6V-4s |
271 |
E-1-1L7+4t6-2V |
S001L6-12s+2t3-2s |
|
272 |
E-1-1L7+4t6-2s (S001L6) |
E+0-1L7-6V |
E+0-1L7-6V |
273 |
E-1-1L7+4t6 (S001xL6) |
S001L6-12s+2t3+2s |
|
274 |
E+0-1L7-4V |
E+0-1L7-4V |
E+0-1L7-4V |
275 |
S001L6+2t2 |
S001L6-12s+2t4-2s |
|
276 |
E+0-1L7-8s (4V (small) |
E+0-1L7-8s (4V (small) |
E+0-1L7-8s (4V (small) |
277 |
S001xL6+2t2+2s |
S001L6-12s+(2t4-4s)+2t2 |
|
278 |
E+0-1L7-2V |
E+0-1L7-2V |
E+0-1L7-2V |
279 |
S001xL6+2t3 |
Pretty: S111L6+6t3-6s |
|
280 |
E+0-1L7 (T001L6+4t7) |
E+0-1L7 (T001L6+4t7) |
E+0-1L7 (T001L6+4t7) |
281 |
S001xL6+2t4-4s |
S001xL6+2t4-4s |
|
282 |
E+0-1L7+4s |
E+0-1L7+4s |
E+0-1L7+4s |
283 |
S001xL6+2t4 |
S001L6+2t4+2s |
|
284 |
E+0-1L7+8s |
Pretty S000L6+8t5 |
E+0-1L7+8s |
285 |
S001xL6+2h3 |
Pretty: S111xL6+6t3 |
|
286 |
E+0-1L7+4t2 |
E+0-1L7+4t2 |
E+0-1L7+4t2 |
287 |
S001xL6+2t5-2s |
S001xL6+2t4-4s+2t3 |
|
288 |
S001xL6+2t5 |
Pretty: S111L6+6h2 |
E+0-1L7+4t2+4s |
289 |
S001L6+2t6-8s |
S001xL6+2t4+2t3 |
|
290 |
S001xL6+2t6-8s |
E+0-1L7+4t3-4s |
E+0-1L7+4t3-4s |
291 |
S001xL6+2h4a |
S011L6-72s 6 stripes |
|
292 |
S001xL6+2t6-4s |
E+0-1L7+4t3 |
Pretty: E+0-1L7+8t2 |
293 |
S001xL6+2t6-2s |
S011L6-68s |
|
294 |
S001xL6+2t6 |
E+0-1L7+4h2 |
E+0-1L7+4h2 |
295 |
S001xL6+2t6+2s |
S011L6-64s |
|
296 |
D-1L7-24s |
E+0-1L7+4t4-8s |
E+0-1L7+4t4-8s |
297 |
D-1L7-22s |
S011L6-60s 5 stripes |
|
298 |
D-1L7-20s |
E+0-1L7+4t4-4s |
E+0-1L7+4t4-4s |
299 |
D-1L7-18s |
S011L6-56s |
|
300 |
D-1L7-16s |
E+0-1L7+4t4 |
E+0-1L7+4t4 |
301 |
D-1L7-14s |
S011L6-52s |
|
302 |
D-1L7-12s |
E+0-1L7+4t4+4s |
E+0-1L7+4t4+4s |
303 |
D-1L7-10s |
S011L6-48s 4 stripes |
|
304 |
D-1L7-8s |
Pretty E+0-1L7+8t3 |
E+0-1L7+4h3 |
305 |
D-1L7-6s |
Pretty S001xL6+4t4+4t3 |
|
306 |
D-1L7-4s |
E+0-1L7+4t5-8s |
E+0-1L7+4t5-8s |
307 |
D-1L7-2s |
S011L7-40s |
|
308 |
S000L7-2t7 (D-1L7) |
E+0-1L7+4t5-4s |
Pretty: E+0-1L7 +8h2 |
309 |
D-1L7+2s |
S011L6-36s 3 stripes |
|
310 |
D-1L7+2t2-2s |
E+0-1L7+4t5 |
E+0-1L7+4t5 |