anonymous
  • anonymous
What is the least number of different colours needed to paint a cube so no adjacent faces have the same colour?
Mathematics
katieb
  • katieb
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lgbasallote
  • lgbasallote
hint: a cube has SIX faces does that help?
anonymous
  • anonymous
so six colours?
hartnn
  • hartnn
no,less than that

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lgbasallote
  • lgbasallote
well not necessarily
lgbasallote
  • lgbasallote
six is the greatest
anonymous
  • anonymous
The top and he bottom could be painted the same colour though
anonymous
  • anonymous
so that brings it down to five...
anonymous
  • anonymous
Three - because you have a metting
anonymous
  • anonymous
Then you paint the left and the right the same colour.
anonymous
  • anonymous
Of three faces at EACH corner ==> Atleast 3
lgbasallote
  • 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
lgbasallote
  • lgbasallote
it follows the requirement that no adjacent faces have same colour
hartnn
  • hartnn
every opposite face can have same color,so 3 pairs of faces---?3 colors...
anonymous
  • anonymous
ohhhh i get it so the leats is 3?
lgbasallote
  • lgbasallote
yup
anonymous
  • anonymous
thankyou guys your the besr :))
lgbasallote
  • lgbasallote
we're glad to be the besr
anonymous
  • anonymous
haha :')
anonymous
  • anonymous
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anonymous
  • anonymous
By the way I gave you the answer, hmmm ....should I say... first ?
anonymous
  • anonymous
y not :) thx :))

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