InBrightestDay

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InBrightestDay last won the day on October 18

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  1. So I’m working on Part Nine of The Woman in the Statue (the goal is to be done around the 18th), and I wanted to describe the lobby of the Van Dijk building, but how big is it?

    Now I could just bullshit this...but you all know I won’t.

    So the building is about 300 meters tall and is a regular octagon in cross section (meaning all eight sides are the same length).  If the lobby in which Chloe, Luzurial and the assault team fight hybrids takes up one entire side (“edge” in geometric terms), how big across is it?

    Well, if we assume the building has a base diameter of one sixth of its height, then it’s 50 m in diameter and thus has a circumradius (the radius of the circle connecting all eight vertices/corners of the octagon) of 25 m.  Each eighth of the octagon can be described as an isosceles triangle with two sides 25 m long (since those “sides” are the circumradius) meeting at an angle of 45 degrees.  So now I have to find the missing side.

    Just to remind everyone that I am not a math major, I literally had to use Google to be reminded that an isosceles triangle is just two right triangles smooshed together, which I really should have remembered from 9th Grade Geometry.  Anyway, since the sine (0.3826834323650897717284599840304) of one angle (22.5 degrees) of a right triangle is equal to the length of the opposite side divided by the length of the hypotenuse (25 m), and then we multiply that result (9.56708580912724429321149960076) by two to get the end of the isosceles…

    So the lobby is about nineteen meters wide.  Why do I do this to myself? :rolleyes:

    1. Show previous comments  2 more
    2. InBrightestDay

      InBrightestDay

      For the record, the lobby isn’t going to take up all nineteen meters of available edge legnth, but it gave me a maximum size to work back from.

      Quote

      But InBrightestDay, looking forward to the conclusion of your tale here. Bizarre research or not :P

      I don’t know that it’ll be worth five months of wait, but hopefully it will prove entertaining! :)

    3. JayDee

      JayDee

      I too am looking forward to it, and if it isn’t done by the 18th no worries I’m sure it’ll be great when it’s done!

      Nevermind the lobby, I’m just hoping the creche wasn’t too large/full.

    4. Thundercloud

      Thundercloud

      Buildings that are not square is always a pain. I learned the hard way while roleplaying that if you allow weird floor shapes you either need to hexmap (that I hate) or need to do lots of extra preparation to not be caught looking like you never attended school. Eventually I settled for square buildings to reduce the stress.

      Anyway I am very much looking forward to your next chapter and hope that you will be able to finished it in your planed time schedule but please understand that chapters that arrive late is the normal case for our kind of publishing.