[general]
name = Kleinbottle2;
comments = Klein's bottle (kleinsche Flaeche), Moebius parametrization. Felix Christian Klein (1849-1925).;
a1_min = 0;
a1_max = 360;
a1_steps = 80;
a2_min = 0; 
a2_max = 360;
a2_steps = 80;


[param]
name = a;
title = Outer Radius;
default = 2;
min = 0.01;
max = 10;

[param]
name = b;
title = Inner Radius;
default = 1;
min = 0.01;
max = 10;


[formula]
S1 = sin(A1);
S2 = sin(A2/2);
S3 = sin(2*A1);
C2 = cos(A2/2);
T1 = C2 * S1 - S2 * S3;

X = (a + b * T1) * cos(A2);
Y = b * (S2 * S1 + C2 * S3);
Z = (a + b * T1) * sin(A2);

[preset]
name = default;
a = 2;
b = 1;
a1_min = 0;
a1_max = 360;
a1_steps = 80;
a2_min = 0; 
a2_max = 360;
a2_steps = 80;