Explore Geodesics v1
August 2004
Help Notes

Heuristic Formula for poyhedra and geodesics.

 ii    20 triangle geometry (icosahedron)
 oo     8 triangle geometry (octahedron)
 ti    60 triangle geometry ( 20 sided with 1 triaconic division )
 to    24 triangle geometry (  8 sided with 1 triaconic division )
 
polyhedra

 p4    4  triangles (tetrahedron)
 pc    6  square    (cube)
 pp    12 pentagons (dodecahedron)

 0..3  division stages
 0  X1   faces  (1  frequency)
 1  x4   faces  (2  frequency)
 1f x9   faces  (3  frequency)
 2  x16  faces  (4  frequency)
 2f x36  faces  (6  frequency)
 3  x64  faces  (8  frequency)
 3f x144 faces  (12 frequency)

 higher numbers may overload the system!
 

 a  vertex created in centre of face is truncated to make opening
 c  truncated vertex
 k  kite division x3 faces
 g  glazed openings
 d  diamond division x1.5 faces
 h  truncate to make hemisphere
 p  leave pents open
 i  optimise symmetry for diamonds and kites (d or k)
 t  truss level and size
 o  opening size
 n  node size (on triangle vertices)
 e  elliptical factor


examples:

 ii0  20 triangles
 ii0k 60 kites
 ii0d 30 diamonds
 ii0c 12 pentagon openings + 20 hexagons

 ii1di 120 diamonds with optimised symmetry
 ii1ki 240 kites with optimised geometry

 ii1kio4 as above with 40% truncated kites to make pentagon panels with hex and pent openings

 ii1kio4g as above with openings glazed
 


 truss_level=val(mid(s,a+1,1)); say "trusses level [truss_level]"
  truss_size=val(mid(s,a+2))/10; truss span size [truss_size]"
 endif
