The exponential function, does indeed spawn a power series. This
creates a textbook spectrum, a A e A' c# E'
(mult .2
( sexp (hzosc 220)
)
)
A right angle combination with itself, gives a LotkaVolttera type of
phase plane: here using PovRay;
#include "colors.inc"
background{White}
camera {
orthographic
location <6, 4, 16 >
look_at <6, 4, 0>
}
light_source {
<4, 4, 15>
color rgb <1,1,1>
}
#declare k1 = 1.5;
#declare tx = 0 ;
#declare Count=0 ;
#while (Count < 1000)
#declare xn = exp(k1*( .75*sin(3*tx) )) ;
#declare yn = exp(k1*( .75*cos(3*tx) )) ;
#declare tx = tx + .015;
sphere { <tx , xn>, 0.03 pigment { rgb <0, 0, 0> }}
sphere { <yn , xn>, 0.03 pigment { rgb <0, 0, 0> } translate y*5 }
sphere { <tx , 0>, 0.025 pigment { rgb <1, 0, 0> }finish {ambient
1}}
#declare Count=Count+1;
#end

paul beach
sniffyraven@...
