Darstellung mathematischer Funktionen
in einem 2D Koordinatensystem.

union{
 #declare X   = -5.5; // start X
 #declare EndX = 5.5; // end   X
 #while ( X < EndX )

  sphere{ <0,0,0>,0.025
          pigment{ color rgb<1,0.65,0> }
          translate< X,0.5*X+3, 0>}

 #declare X = X + 0.002;  // next Nr
 #end // --------------- end of loop
} // end of union
//------------------------------------- end

union{
 #declare X   = -5.5; // start X
 #declare EndX = 5.5; // end   X
 #while ( X < EndX )

  #if ( (X - 2 != 0) )
  sphere{ <0,0,0>,0.025
          pigment{ color rgb<1,0.65,0> }
          translate< X, 1/4*3/(X-2)-3, 0>}
  #end
 #declare X = X + 0.001;  // next Nr
#end // --------------- end of loop
} // end of union
//--------------------------------------- end

abs(X)= Betrag von X = absolute value of X.
pow(X,Y) = Potenzierung: X hoch Y = exponent: X raised to the power Y
sqrt(X) = Quadratwurzel aus X = square root of X
 
int(X)  = Ganzzahlanteil von X = integer part of X
mod(X,Y)   = X modulo Y =((X/Y)-int(X/Y))*Y
div(X,Y) = Ganzzahlanteil von (X/Y) = integer part of (X/Y)
max(X,Y,...) = maximum of two or more float values
min(X,Y,...) = minimum of two or more float values
 
degrees(X) = rechnet Radiant in Grad um = converts radians to degrees
radians(X) = rechnet Grad in Radiant um = X*pi/180.0
 
sin(X) = Sinus von X = sine of X
cos(X) = Kosinus von X = cosine of X
tan(X) = Tangens von X = tangent of X
 
sinh(X) = Sinus hyperbolikus von X = hyperbolic sine of X
cosh(X) = Kosinus hyperbolikus von X = hyperbolic cosine of X
tanh(X) = Tangens hyperbolikus von X = hyperbolic tangent of X
 
asin(X) = Arcus-Sinus von X = arc-sine of X
acos(X) = Arcus-Kosinus von X = arc-cosine of X
atan2(X,Y) = Arcus-Tangens von X = arc-tangent of (X/Y)
 
asinh(X) = Invers Sinus hyperbolikus = invers hyperbolic sine of X
acosh(X) = Invers Kosinus hyperbolikus = inverse hyperbolic cosine of X
atanh(X) = Invers Tangens hyperbolikus = invers hyperbolic tangent of X
 
exp(X) = Exponentialfunktion e hoch X = exponential of X
log(X) = Logarithmus von X = logarithm of X
ln(X)  = natürlicher Logarithmus von X = natural logarithm of X