WOLFRAM|DEMONSTRATIONS PROJECT

RGB Spheres

pick sphere

4 ×

radius

66491

color:

3876

no color:

131	153	161
121	159	163
123	151	169
115	155	171
81	167	179
85	165	179
99	157	179
123	139	179
49	177	181
67	171	181
31	179	183
101	151	183
15	179	185
55	171	185
71	165	185
125	129	185
79	159	187
29	173	189
47	169	189
107	139	189
121	127	189
9	173	191
111	133	191
1	171	193
49	159	197
59	153	199
87	139	199
13	161	201
107	121	201
1	159	203
21	155	205
79	135	205
29	151	207
3	151	209
93	119	209
19	147	211
39	143	211
73	129	211
91	117	211
75	121	215

37	131	219
49	127	219
89	103	219
39	127	221
45	125	221
73	111	221
11	129	223
51	119	223
81	101	223
35	121	225
69	101	227
19	117	229
51	107	229
55	105	229
19	113	231
41	107	231
61	97	231
79	83	231
49	99	233
11	101	237
49	89	237
33	91	239
53	81	239
29	87	241
39	83	241
43	81	241
49	71	243
61	61	243
15	79	245
29	75	245
21	71	247
1	67	249
41	53	249
3	59	251
33	49	251
9	49	253
31	39	253
25	29	255
1	21	257
9	19	257

There are

256

=16777216

RGB colors. They can be considered as coordinates from

(0,0,0)

(255,255,255)

, with off-grid center point

(255/2,255/2,255/2)

. There are

21027

different distances to that center point that give color points.

This Demonstration shows the

21027

colored spheres and

3357

non-colored spheres, sorted by increasing radius. Each point is placed at its corresponding coordinate point.

The color cube has diameter 255. Spheres with points beyond 255 get smaller black points. The faces and corners of the cube often show symmetry. When multiple points are on the same plane, they appear in circular arrays on the sphere.

Each radius is the sum of squares of three integers, a sum that always has form

8n+3

. The smallest sphere with no color occurs at radius

122707=

231

261

111

195

269

=...=

343

. All of the power representations have a maximal value greater than 255. These representations are shown to the left and right on the graphic, sorted by maximal value.