- #1
AlbertEinstein
- 113
- 1
Hi everybody, I am unable to tackle this problem, and don't know how to attack it. can someone please help me how to attack the following problem.
Q. Suppose colour every point in 3-D space is assigned one of the three colours- red,green,blue.Can i conclude the following?:
1)there must exist a right triangle which has three of the vertices of same colour.
2)there must exist an equilateral triangle which has all its vertices of same colour.
3)the problems 1 and 2 with the additional fact that there exist infinitely many such in any region of space.
4)there must exist a monochromatic line.
5)there must exist a monochromatic circle.
please give some hints.
thank you.
Jitendra
Q. Suppose colour every point in 3-D space is assigned one of the three colours- red,green,blue.Can i conclude the following?:
1)there must exist a right triangle which has three of the vertices of same colour.
2)there must exist an equilateral triangle which has all its vertices of same colour.
3)the problems 1 and 2 with the additional fact that there exist infinitely many such in any region of space.
4)there must exist a monochromatic line.
5)there must exist a monochromatic circle.
please give some hints.
thank you.
Jitendra