color text, will need someone else to get it into shape

mandelbulber2/manual/chapters/miscellaneous.tex

@@ -150,5 +150,98 @@ \subsection{Hints}\label{Hints}
 
 
 
+\paragraph{Color functions}
+
+There are various ways of creating  the color of each point in the set, and the following color components can be mixed together to make more complicated colorings. Coloring possibilities  can be just as complex as  fractal formulas.
+
+The examples below are basic ways of creating color components. These examples are with a standard  mandelbox, (the results can be very different with other formulas.)
+
+\textbf{aux.color}
+aux.color is a cumulative number that is in many formulas and transforms,  where there is conditional folding, e.g. box folds and sphere folds. Note that color based on conditional functions can cause unwanted cuts in color layout.
+
+The parameter controls are generally like this :
+
+\simpleImageWithCaptionFullWidth{img/manual/media/aux_color_parameters.png}
+{Aux.color parameters}
+{aux_color_parameters_vary_VCL}
+
+When the iteration loop is running, this number is increased each time a condition is met.  The result is dependent on how many times before termination  that the condition is met..
+
+Currently there are two types of algorithms that use aux.color.  Example maths:
+
+Box Fold
+if  (z  >  limit  OR  z  <   -limit)   aux.color +=  boxFoldComponent.
+
+Note that the box fold component can create  speckly areas with mandelbox type fractals.
+
+Sphere Fold. 
+if (rr < minR2)    aux.color +=  minR2Component.
+else if (rr < maxR2)    aux.color +=  maxR2Component.
+
+And therefore  if(rr> maxR2 ) there is no addition of a component.
+
+With a standard mandelbox we need to cut open the fractal to see the result of this component acting on their own. Red is the minR2 component and blue the maxR2 component.
+
+
+\twoImagesWithTwoCaptionsFullWidth{img/manual/media/box_fold.png}
+{Box fold coloring component}
+{box_fold}
+{img/manual/media/sphere_fold_minR2_maxR2.png}
+{Sphere fold minR2 and maxR2 coloring component}
+{sphere_fold_minR2_maxR2}
+
+
+\textbf{Radius} or \textbf{radius squared} 
+
+A  component value is added based on the distance of the point from the origin at termination.
+
+
+\twoImagesWithTwoCaptionsFullWidth{img/manual/media/radius.png}
+{Radius coloring component}
+{radius}
+{img/manual/media/radius_squared.png}
+{Radius squared coloring component}
+{radius_squared}
+
+\textbf{Distance Estimation (DE)}  (sliced view)
+
+A  component value is added based on the DE value of the point at termination.
+
+\simpleImageWithCaptionFullWidth{img/manual/media/DE_color.png}
+{DE color component}
+{DE_color}
+
+\textbf{Axis Bias}
+
+These functions are tools to globally manipulate/distort the color. 
+Examples maths:
+
+$XYZ_bias                component = abs(z.x) \ast biasScale.x;$
+$Plane_bias              component = z.y \\ast z.z \ast biasScale.y;$
+
+\twoImagesWithTwoCaptionsFullWidth{img/manual/media/xyz_bias.png}
+{XYZ coloring component}
+{xyz_bias}
+{img/manual/media/plane_bias.png}
+{Plane bias coloring component}
+{plane_bias_squared}
+
+\textbf{Iteration count}
+
+The final color value, after adding up all the components, is  scaled by a function of the iteration count.
+
+Example maths:
+
+$colorValue =  sum_of_all_components *  ( 1.0 + iterScale / ( iter + 1.0));$
+
+Left image below is with iterScale = 0.0, the right image has the function disabled.
+
+\twoImagesWithTwoCaptionsFullWidth{img/manual/media/with_iter.png}
+{With iterartion count coloring component}
+{with_iter}
+{img/manual/media/without_iter.png}
+{Without iterartion count coloring componen}
+{without_iter}
+