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Cake day: September 18th, 2023

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  • All possible formulas for the amount of triangles are as follows.

    Let A(n) be the total number white of triangles in the n’th run.

    Let B(n) be the total number of triangles in the n’th run in the structure that does not include the two corner triangles.

    Let C(n) be the total numbers of triangles in the n’th run including the corner triangles.

    Then we the following starting numbers and recursive formulas hold:

    A(1)=1 and A(n+1)=3A(n) for all integers n>0

    Reason: previous structure is embedded exactly 3 times

    B(1)=1 and B(n+1)=3B(n) + 2 for all integers n>0

    Reason: previous structure is embedded 3 times and this creates 1 new center triangle and 1 new greater triangle

    C(1)=3 and C(n+1)=3(C(n) - 2) + 4 for all integers n>0

    Reason: previous structure with the corner triangles removed is embedded 3 times, similar to previous case, and we add the 2 corner triangles at the end.

    For this run (n=4) that means A(4)=27 B(4)=53 C(3)=55











  • Hormonal replacement therapy makes trans women lose their advantage regarding muscle growth so the only real ‘advantage’ they have to being trans is being taller on average, but cis women can be tall as well and that was never considered unfair. Also trans women have disadvantages because they often have to deal with surgeries meaning they can’t train for months and they face a lot of discrimination which can impact performance, training possibilities and income (which also affects training possibilities and time). Trans women have never been a threat towards women’s sports, the percentage of trans women with medals is less than that of cis women. Even if you remove the factor of discrimination then the advantage trans women have is no more than a cis woman who is born with very slow muscle acidification. Talking about actual unfair advantages, in many olympic sports you have to have rich parents to be able to get on an olympic level because training facilities are expensive and you (and your parents) need to have a lot of free time.