Algorithm Shapes study

x= u-sin(u)*cosh(v)
y = 4*sin(1/2*u)*sinh(v/2)
z = 1-cos(u)*cosh(v)

x= u-sin(u)*cosh(v)
y = 4*sin(1/2*u)*sinh(v/2)
z = 1-cos(u)*cosh(v)

Dini...
x = a*cos(u)*sin(v)
y = a*sin(u)*sin(v)
z = (cos(v)+log(tan(v/2)+1e-2)) + b*u

Dini...
x = a*cos(u)*sin(v)
y = a*sin(u)*sin(v)
z = (cos(v)+log(tan(v/2)+1e-2)) + b*u

x= u-sin(u)*cosh(v)
y = 4*sin(1/2*u)*sinh(v/2)
z = 1-cos(u)*cosh(v)

x= u-sin(u)*cosh(v)
y = 4*sin(1/2*u)*sinh(v/2)
z = 1-cos(u)*cosh(v)

Cosinus
y = sin(pi*((u)**2+(v)**2))/2
x = u
z = v

Cosinus
y = sin(pi*((u)**2+(v)**2))/2
x = u
z = v

Cosinus
y = sin(pi*((u)**2+(v)**2))/2
x = u
z = v

Cosinus
y = sin(pi*((u)**2+(v)**2))/2
x = u
z = v

x= u-sin(u)*cosh(v)
y = 4*sin(1/2*u)*sinh(v/2)
z = 1-cos(u)*cosh(v)

x= u-sin(u)*cosh(v)
y = 4*sin(1/2*u)*sinh(v/2)
z = 1-cos(u)*cosh(v)

Study of shaping by mathematical algorithms