Stepping out odd steps and stepping out even steps are different,
Odd and even steps already have one common point at the origin. They will not meet again unless they have at least one odd common factor in their divisors that created those step sizes. Since only even numbers can have a odd factor (and at least one other even factor), and a odd number has only odd factors (an even factor changes it to a even number). This common odd factors are in the even number divisor that creates a even step.
A new step everyday.
