A Coloring Structure
We will consider a structure for a collection of colors that will provide
a scheme for designing a web page.
Conditions for a Coloring Scheme Structure
- Each scheme will have exactly 3 colors.
- Any two coloring schemes together will use exactly
5 colors.
- Any two colors determine a unique scheme.
- There are at least two schemes.
Here are two examples:
Notice that each structure has 7 colors and 7 schemes!
| C |
E |
G |
|
|
G |
B |
C |
| B |
D |
G |
|
|
G |
D |
F |
| A |
F |
G |
|
|
G |
A |
E |
| A |
D |
E |
|
|
C |
E |
D |
| B |
F |
E |
|
|
D |
A |
B |
| A |
B |
C |
|
|
C |
A |
F |
| D |
F |
C |
|
|
B |
F |
E |
The question we have is:
Are there any color scheme
stuctures that have more or less than 7 schemes made from 7 colors?
That is, is there some
special relation between these color scheme structures and the number 7?