RZS

CREATEPTS/VECTOR

This routine is used to ratio zone the region of space spanned by the input number n_iof copies of the input vector v_ij away from the initial point v_0j using the desired coordinate system. The j-th component of the i-th vector V_ij is reduced by r_ij at each step in the i-th direction away from the initial point. No attempt is made to insure that the 3 vectors are independent.
FORMAT:

createpts/vector/[ |xyz|rtz|rtp /
                [ n1,n2,n3
                 /v11,v12,v13/v21,v22,v23/v31,v32,v33
                  /v01,v02,v03
                 /r11,r12,r13/r21,r22,r23/r31,r32,r33 ]

default = 0: n_i, v_i, v_0j
default = 1: r_ij

EXAMPLES: spiral of points createpts/vector/rtz/n1,0,0/.1,10.,1/ , , / , , / , , /1.1,1,.9/ sc (simple cubic) point distribution createpts/vector/xyz/n1,n2,n3/1,0,0/0,1,0/0,0,1/         same as
       rz/xyz/n1+1,n2+1,n3+1/0,0,0/n1,n2,n3/1,1,1
bcc (body centered cubic) point distribution createpts/vector/xyz/n1,n2,n3/.5,.5,.5/.5,.5,-.5/.5,-.5,-.5/
compare the two command sequence (different bounding box) rz/xyz/n1+1,n2+1,n3+1/0,0,0/n1,n2,n3/1,1,1
rz/xyz/n1 ,n2 ,n3 /0,0,0/n1,n2,n3/0,0,0 fcc (face centered cubic) point distribution createpts/xyz/n1,n2,n3/.5,.5,0/0,.5,.5/.5,0,.5/
compare the four command sequence (different bounding box) rz/xyz/n1+1,n2+1,n3+1/0,0,0/n1,n2,n3/1,1,1
rz/xyz/n1 ,n2 ,n3+1/0,0,0/n1,n2,n3/0,0,1
rz/xyz/n1 ,n2+1,n3 /0,0,0/n1,n2,n3/0,1,0
rz/xyz/n1+1,n2 ,n3 /0,0,0/n1,n2,n3/1,0,0 hexagonal lattice of points in x,y plane, repeated in z direction createpts/xyz/n1,n2,n3/1,0,0/.5,0.866,0/0,0,1/ diamond point distribution (two command sequence) createpts/xyz/n1,n2,n3/.5,.5,0/0,.5,.5/.5,0,.5/ createpts/xyz/n1,n2,n3/.5,.5,0/0,.5,.5/.5,0,.5/.25,.25,.25
compare the eight command sequence (different bounding box) rz/xyz/n1+1,n2+1,n3+1/0,0,0/n1,n2,n3/1,1,1           rz/xyz/n1 ,n2 ,n3+1/0,0,0/n1,n2,n3/0,0,1
       rz/xyz/n1 ,n2+1,n3 /0,0,0/n1,n2,n3/0,1,0
       rz/xyz/n1+1,n2 ,n3 /0,0,0/n1,n2,n3/1,0,0 rz/xyz/n1+1,n2+1,n3+1/0.25,0.25,0.25/n1+.25,n2+.25,n3+.25/1,1,1
rz/xyz/n1 ,n2 ,n3+1/0.25,0.25,0.25/n1+.25,n2+.25,n3+.25/0,0,1
rz/xyz/n1 ,n2+1,n3 /0.25,0.25,0.25/n1+.25,n2+.25,n3+.25/0,1,0
rz/xyz/n1+1,n2 ,n3 /0.25,0.25,0.25/n1+.25,n2+.25,n3+.25/1,0,0 hcp (hexagonal close pack) point distribution (two command sequence) createpts/xyz/n1,n2,n3/1,0,0/.5,0.866,0/0,0,1/
createpts/xyz/n1,n2,n3/1,0,0/.5,0.866,0/0,0,1/.5,0.289,.5/    CAVEATS -
      * filter should be used afterwards to remove possibly duplicate points
      * this can create some really bizzare point distributions
      * mistyped input after "rzv/[cgeom]" always returns successful point addition,
      but may be very different than desired