Transcendental curves

r = (1 + sin(φ))(1 + 0.9cos(8φ))(1 + 0.1cos(24φ)) ρ = k·φ ρ·φ = k

points=500; roots=0
fmax=3+4.5i; fmin=-3-i
r = (1 + sin(t))(1 + 0.9*cos(8*t))(1 + 0.1*cos(24*t))
f(t)=[r,t]

roots=0; width=200
fmax=3+3i; fmin=-3-3i
xmax=6*pi
a=1
k=a/(2*pi)
r = k*fi
f(fi)=[r,fi]

roots=0; width=200
fmax=0.5+i; fmin=-0.5-0.25i
xmax=8*pi
k=1
r = k/fi
f(fi)=[r,fi]



 f=a·(exp(x/a)+exp(-x/a))/2 ρ2 = 2a2cos(2φ) ρ= a·exp(b·φ)

xmin=-3; xmax=3
ymin=0; ymax=10
a=1; f=(a/2)*(exp(x/a)+exp(-x/a))
a1=2; f1=(a1/2)*(exp(x/a1)+exp(-x/a1))
a2=0.5; f2=(a2/2)*(exp(x/a2)+exp(-x/a2))

points=200; roots=1
width=200
fmin=-1.5-i; fmax=1.5+i
xmin=pi/4; xmax=pi/4+2*pi
a=1
r = sqrt(2*a^2*cos(2*fi))
f(fi)=[r,fi]

 

roots=0; width=200
fmax=25+25i; fmin=-25-25i
xmax=10*pi
a=1; b=0.1
r = a*exp(b*fi)
f(fi)=[r,fi]
 

Physical and Mathematical Package "GRAPH"



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