Non Euclydina Geometry
15-Nov-93 20:28:10
Sb: #66586-Non Euclydina Geometry
Fm: James Coulter[Mindscape] 73670,677
To: Todd Wiedemann 76450,2642
Well, I can see two alternatives:
The automated way:
1) Get out the pencil and paper and develop a formula for finding the various
angles, sizes, etc. Then, write a quick script with scriptable software like
ACAD that would generate your geometry.
The manual/aproximated way:
2) Achieve a close approximation by doing the following:
a) Create a geo sphere in 3DS using snap so you know where
the center is.
b) Create a circle in one of the polygons of the geo sphere. To
do this you will need to align your view with an n-gon face to
get the true size of the polygon. This is your base size.
c) Since you know where the center of the polygon and geo
sphere are, you can figure out the height of the cone.
d) With the above, you can align your view to each n-gon, and
key-in the cone. Then slide it around so the base of the cone
is inscribed in the n-gon. Repeat this step until all cones are
created.
Note: The manual way will take a long time with any geo sphere with more that
16 sides or so — and it is not as accurate. I haven't developed the
algorithm/formulas for the automated method, but
I can assist if you would rather go that route.
— James —