[spam][crazy][fiction][random] Non-Canon MCBoss Spinoffs

[Undescribed Horrific Abuse, One Victim & Survivor of Many]

—-
on karl’s interrupted walking algorithm from 2016 or whatnot during
chemotherapy

we’ve been over this before. but it could be fun to actually put it
together. what are the parts?

the next part was modelling a concave orthographic projection onto the
floor showing what regions the center of mass was stable in.

how to model this? it’s in 2d space. a basic query might be whether or not
a point is within it.

i remember the code already existed for paths. could a concave projection
be a closed path? does it matter? 1847 i’m thinking it’s pretty normal to
assume a polygon. one can always add curves to the polygon with a separate
edge class or something.

how to tell if a point is within a convex polygon? shouldn’t i know this?
there is probably optimized code somewhere, but would it maybe help to
order the coordinates clockwise or such, and then take the dot product of
one of those vectors with another?

i’m thinking maybe for each side, if a point is within the polygon, it will
be on the same side of that line or line segment, if they are all treated
clockwise or such. then i’m somehow thinking thisncould be tested with a
dot product. is this true?

considering: identifying side of point from line between two other points
using dot product.
dot product is same-sign when two vectors are <90 degrees different, for
them being on left or right of the other, then opposite-sign when two
vectors are >90 different, and is 0 at 90 and product magnitude or 1 at 0
and 180 (-1). so if i were to check side using dot product, i might
consider valuing the change at 90 degrees. the 0 value is also
appropriately ambiguous if a point lays entirely on an edge.
so, we could take the tangent or right angle to the edge, and then dot
product that with a vector to the point in question. i guess if all their
signs are the same, they’ll be on the same side. it’s an idea
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