Box-like Shapes

It is possible to generate shapes that mimic boxes using a single 2-dimensional grid. By using a single grid, the corners will line up between faces automatically.

However, the tactic used here is not to declare the eight points of the box, but to declare a central spline use several parameters to describe the final shape. This method allows a box-like shape to turn and twist.

The current modeling procedure only allows for the four sides, not the top and bottom, to be modeled.

A Simple Example

#include "bez.inc"

#declare Bez_Texture = 
   texture { pigment{ cells scale 0.1 } 
             finish { phong 0.1} 
           } // end of texture
           
#declare Spine = array[3] { 
    <0.00,  0.00,  0.00>, 
    <0.01,  2.00,  0.10>, 
    <0.00,  4.00,  0.00> }
#declare EnhancedSpine = ConnectPoints(Spine, 0, 0)

                                                  
object{DrawConnected(EnhancedSpine, 0.05) pigment { green 1 } finish { phong 1 } }

#declare Box = CreateBoxGrid(Spine, 2, 2, 4, 4, 4, 4) 



DrawPatches(CreateGridControlPoints(ExtractFace(Box, 0, 3),0), Bez_Texture)
DrawPatches(CreateGridControlPoints(ExtractFace(Box, 3, 6),0), Bez_Texture)
DrawPatches(CreateGridControlPoints(ExtractFace(Box, 6, 9),0), Bez_Texture)
DrawPatches(CreateGridControlPoints(ExtractFace(Box, 9, 12),0), Bez_Texture)