Hello,

I have some difficulties to orient objects.

In helping me in, see the attached picture in 'povray.binaries.images'.

I have 12 hexagons (from 0 to B). I would like to draw a torus that 
passes through the barycenters of two hexagons (the coordinates of
the barycenters are known).

In the image, i made it between hexagon '0' and hexagon '2'.

My calculations are :
 - with barycenter of hexagone '0' : v0
 - with barycenter of hexagone '2' : v2
 - compute the normalized normal vector : vn=vnormalize(vcross(v0, v2));
 - calc the lenght of v0 -> lv0
 - convert rectangulars coordinates of vn -> azimuth and rise. 


Now draw the torus :
torus {
  lv0, 0.020

  rotate (90-rise)*z
  rotate -azimuth*y
  
  pigment { color DarkTurquoise }
  finish { ambient 0.40 diffuse 0.60 }
  }

Work for this case, not with other pairs of hexagons.

It's not really a povray's question, probably more than mathematical :
Is my method of calculation is correct ?
How to properly orient my torus depending on the normal vector ?



Thanks

-- 
klp

Post a reply to this message