# MathMap Animation Examples

These are examples of the animation capabilities of MathMap. All the expressions creating these animations are included in the plug-in.
The original image:

```filter wave (image in)
in(xy + xy:[sin(y/6+t*2*pi), sin(x/6+t*2*pi)] * 3)
end
```
Animated GIF
```filter mercator (image in)
in(xy * xy:[cos(pi/2/Y*y+t*2*pi), 1])
end
```
Animated GIF
```filter enhancedpond (image in)
end
```
Animated GIF
```filter sea2 (image in)
in(xy + xy:[0, 5*sin(t*2*pi+20*Y*(-y+Y+60)^-1)])
end
```
Animated GIF
```filter spiral (image in)
q = sin((r-a*6)/6+t*2*pi)*0.5+0.5;
in(xy) * rgba:[q,q,q,1]
end
```
Animated GIF
```# Thanks to Herbert Poetzl
filter sphere (image in)
rd=0.9*min(X,Y);
if r>rd then
rgba:[0,0,0,1]
else
alpha=-(5/3)*pi; beta=(1/3)*pi; gamma=t*pi*2;
sa=sin(alpha);
sb=sin(beta);
ca=cos(alpha);
cb=cos(beta);
theta=a;
phi=acos(r/rd);
x0=cos(theta)*cos(phi);
y0=sin(theta)*cos(phi);
z0=sin(phi);
x1=ca*x0+sa*y0;
z1=-sa*-sb*x0+ca*-sb*y0+cb*z0;
if z1 >= 0 || 1 then
y1=cb*-sa*x0+cb*ca*y0+sb*z0
else
z1=z1-2*cb*z0;
y1=cb*-sa*x0+cb*ca*y0-sb*z0
end;
theta1=atan(-x1/y1)+(if y1>0 then pi/2 else 3*pi/2 end);
phi1=asin(z1);
in(xy:[((theta1*2+gamma)%(pi*2)-pi)/pi*X,-phi1/(pi/2)*Y])
end
end
```
Animated GIF
```filter moire1 (image in)
q=t*2*pi;
abs(rgba:[sin(r/4+q)+sin(15*a+q),sin(r/3.5+q)+sin(17*a+q),sin(r/3+q)+sin(19*a+q),2])*0.5
end
```
Animated GIF
Two other examples of animations generated with MathMap can be found at Laurent Despeyroux's GIMP page.