Question

there are infinite black and white on in a plane prove that the distance between one and one white dot is one unit ?​

Answer 1

Explanation:

1. This suggests that we color every point on the plane either white or black, making sure to use infinitely many of each color. With these constraints it is indeed the case that there must be a black point and a white point at unit distance. (In fact, "infinite" can be weakened to nonempty.)

But a unit can be anything. It may be equal to one fermi-metre, or 56 nanometres. It is up to you. So basically, you only need to say that as long as the dots are uniformly distributed, the distance between one white dot and one black dot is 'one unit

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Answer 2

Answer:

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