CassiusDelaney
What is the least number of different colours needed to paint a cube so no adjacent faces have the same colour?



This Question is Closed

lgbasallote
Best Response
You've already chosen the best response.
2
hint:
a cube has SIX faces
does that help?

CassiusDelaney
Best Response
You've already chosen the best response.
0
so six colours?

hartnn
Best Response
You've already chosen the best response.
0
no,less than that

lgbasallote
Best Response
You've already chosen the best response.
2
well not necessarily

lgbasallote
Best Response
You've already chosen the best response.
2
six is the greatest

Polrek
Best Response
You've already chosen the best response.
0
The top and he bottom could be painted the same colour though

CassiusDelaney
Best Response
You've already chosen the best response.
0
so that brings it down to five...

Mikael
Best Response
You've already chosen the best response.
0
Three  because you have a metting

Polrek
Best Response
You've already chosen the best response.
0
Then you paint the left and the right the same colour.

Mikael
Best Response
You've already chosen the best response.
0
Of three faces at EACH corner ==> Atleast 3

lgbasallote
Best Response
You've already chosen the best response.
2
let's try an example
dw:1346152773006:dw
in my example you have red on the front and back; yellow on the sides; orange on top and bottom

lgbasallote
Best Response
You've already chosen the best response.
2
it follows the requirement that no adjacent faces have same colour

hartnn
Best Response
You've already chosen the best response.
0
every opposite face can have same color,so 3 pairs of faces?3 colors...

CassiusDelaney
Best Response
You've already chosen the best response.
0
ohhhh i get it so the leats is 3?

lgbasallote
Best Response
You've already chosen the best response.
2
yup

CassiusDelaney
Best Response
You've already chosen the best response.
0
thankyou guys your the besr :))

lgbasallote
Best Response
You've already chosen the best response.
2
we're glad to be the besr

CassiusDelaney
Best Response
You've already chosen the best response.
0
haha :')

Mikael
Best Response
You've already chosen the best response.
0

Mikael
Best Response
You've already chosen the best response.
0
By the way I gave you the answer, hmmm ....should I say... first ?

CassiusDelaney
Best Response
You've already chosen the best response.
0
y not :) thx :))