# COLOR-PUZZLE. Complete the picture

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}

• Minor hint, anyone? – Prim3numbah Dec 22 '19 at 16:50
• Yes. ,. Please. – FIreCase Dec 22 '19 at 23:13

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:-

• (R)red triangle 3
• (G)grey hexagon 6
• (B)blue square 4
• (Y)yellow converging lines 1

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:-

• Blue will be 0 (12-12)
• Red will be 6 (12-6)
• Grey will be 2 (12-10)
• Yellow will be 4(12-8)
• I have a feeling this whole thing should be shorter. – FIreCase Dec 22 '19 at 20:22
• @FlreCase yes, I agree with you, But I'm afraid that if I shorten my answer, people will have difficulty understanding how I got the answer. – Nikhil01 Dec 22 '19 at 20:29
• Maybe you are right FireCase, I too am skeptical about my approach (maybe even its correctness) because the question is tagged as pattern and visual not maths. :) – Nikhil01 Dec 23 '19 at 1:44
• Nikhil01: Nice work, but it's not the intended answer. It's much more simple. Also, I can say that the placement of the rounded rectangles outside the circle are just randomly placed. Just focus on what's inside the rectangles and then somehow map it into the circle. – Prim3numbah Dec 23 '19 at 5:17
• Prim3numbah: oh I understand, Thank you. :) – Nikhil01 Dec 23 '19 at 6:32
+-------------------+---------+-------+
|      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

• Hey. I realized this problem wasn't as "elegant" as i hoped. I will apply a similar reasoning to another problem i'll make later on. So for that reason i will not give away the answer. But cudos for the hard work youve done :) – Prim3numbah Dec 29 '19 at 12:03
• Thank you, for your kind words. :) I'm looking forward to seeing your question. – Nikhil01 Dec 31 '19 at 2:38