Here is a color-puzzle(Not the best picture but hey :D) If anything is unclear, let me know. But all the information you need should be out there. So... Try complete the picture.
Hint1:
It's not {2(1),3,4,6}
Here is a color-puzzle(Not the best picture but hey :D) If anything is unclear, let me know. But all the information you need should be out there. So... Try complete the picture.
Hint1:
It's not {2(1),3,4,6}
I would color it like this
The circle is divided into 12 30° sectors.
The red rectangle contains a regular hexagon, each of whose angles is 120° so it takes up 4 sectors. The yellow rectangle contains a square, each of whose angles is 90° or 3 sectors. The grey rectangle contains an equilateral triangle, each of whose angles is 60° or 2 sectors. The blue rectangle contains what appears to be a 30° angle which takes up one sector. The two hatched sectors are unused.
I believe this to be the answer to your question...(I may be wrong though)
Here, is my explanation:
every colour embedded with the rectangle box have vertices:-
Every vertices is sum of the vertices to which is diagonal and vertices that is vertically opposite to it, minus the vertices that horizontally opposite to it :-
B=(Y+G)- R = (6 + 1) - 3 = 4
R=(Y+G)- B = (6 + 1) - 4 = 3
Y=(R+B)-G = (4 + 3) - 6 = 1
G=(R+B)-Y = (4 + 3) - 1 = 6
[from the placements of rectangle this shows which are vertically opposite, horizontally opposite and diagonal
+--------------------------------------------------------------------------+
| shape-vertices = vertically opposite + diagonally-opp - horizontally-opp |
+--------------------------------------------------------------------------+
| red-tri(R) grey-hexa(G) yellow-lines(Y) Blue-rect(B) |
| grey-hexa(G) red-tri(R) blue-rect(B) yellow-ines(Y) |
| yellow-lines(Y) red-tri(R) Blue-rect(B) grey-hexa(G) |
| blue-rect(B) grey-hexa(G) yellow-lines(Y) red-tri(R) |
+--------------------------------------------------------------------------+
you may be thinking that how does all of this give you the colours(please bear with me a little :P)
Now the circle has twelve sectors...
the relation between these sectors can be determined with same formula from above. Red(R) Blue(B) Grey(G) Yellow(Y).
B=(Y+G)- R = (8 + 10) - 6 = 12
R=(Y+G)- B = (8 + 10) - 12 = 6
Y=(R+B)-G = (6 + 12) - 10 = 8
G=(R+B)-Y = (6 + 12) - 8 = 10
however we can determine the next occurrence of the colour in the sector by subtracting from 12.The next sector with the colour:-
+-------------------+---------+-------+
| Colour | letters | sides |
+-------------------+---------+-------+
| blue | 4 | 4 |
| gold | 4 | 2 |
| grey | 4 | 6 |
| red | 3 | 3 |
+-------------------+---------+-------+
Here,
I add a number of edges of each shape with the number of letters in the colour's name, and then divide it by 2. For example, if I want to know how many sectors away from red grey occurs, I add $(6+4)/2 = 5$.
From the rounded rectangles you can determine which colour follows which colour. For example, grey follows red, blue follows gold (and vice-versa).
So, I think this could be the answer:
Red $= (6+4)/2 = 5$, so red must be 5 sectors away from grey. Similarly, gold $= (4+4)/2 = 4$, so gold must be 4 sectors away from blue. As such, my solution is