## CassiusDelaney 3 years ago What is the least number of different colours needed to paint a cube so no adjacent faces have the same colour?

1. lgbasallote

hint: a cube has SIX faces does that help?

2. CassiusDelaney

so six colours?

3. hartnn

no,less than that

4. lgbasallote

well not necessarily

5. lgbasallote

six is the greatest

6. Polrek

The top and he bottom could be painted the same colour though

7. CassiusDelaney

so that brings it down to five...

8. Mikael

Three - because you have a metting

9. Polrek

Then you paint the left and the right the same colour.

10. Mikael

Of three faces at EACH corner ==> Atleast 3

11. lgbasallote

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

12. lgbasallote

it follows the requirement that no adjacent faces have same colour

13. hartnn

every opposite face can have same color,so 3 pairs of faces---?3 colors...

14. CassiusDelaney

ohhhh i get it so the leats is 3?

15. lgbasallote

yup

16. CassiusDelaney

thankyou guys your the besr :))

17. lgbasallote

we're glad to be the besr

18. CassiusDelaney

haha :')

19. Mikael

20. Mikael

By the way I gave you the answer, hmmm ....should I say... first ?

21. CassiusDelaney

y not :) thx :))