To get more control on Spirograph patterns, the Spirograph code from the answer to this question, needs to be modified.
This code is
\documentclass{beamer}
\beamertemplatenavigationsymbolsempty
\usepackage{tikz}
\usetikzlibrary{shadings}
\begin{document}
\tikzset{pics/spiro/.style={code={
\tikzset{spiro/.cd,#1}
\def\pv##1{\pgfkeysvalueof{/tikz/spiro/##1}}
\draw[trig format=rad,pic actions] plot[variable=\t,domain=0:2*pi*\pv{nRotations}, samples=90*\pv{nRotations}+1,smooth cycle]
(
{(\pv{R}+\pv{r})*cos(\t)+\pv{p}*cos((\pv{R}+\pv{r})*\t/\pv{r})},
{(\pv{R}+\pv{r})*sin(\t)+\pv{p}*sin((\pv{R}+\pv{r})*\t/\pv{r})}
);
}},
spiro/.cd,R/.initial=6,r/.initial=-1.5,p/.initial=1,nRotations/.initial=1}
\begin{frame}[fragile,t]
\frametitle{Spiro 1 orig}
\begin{tikzpicture}[]
\draw
(0,0) pic[scale=0.5, violet, line width=0.6mm, rotate=45, lower left=orange, lower right=yellow, upper left=red, upper right=magenta]{spiro}
;
\end{tikzpicture}
\end{frame}
\end{document}
Here is what is in my mind. I need to draw the pattern in segments, and define the location of the starting point.
The distance point P has to travel, to complete a cycle (360 degrees), is expressed as 2*pi. So, to draw 0.25 of the curve, 0.5 of the curve, or the whole curve; you need to say (2*pi*0.25), (2*pi*0.5), or (2*pi*1), respectively.
It might take more than one cycle to complete the whole pattern. To draw the figure to the left, it takes 2 nRotations. The first draws the red one, the second draws the blue one, to get the figure to the right.
In the original code
t = vectorin(0, 0.05, 2*pi*nRotations)
where (0, 0.05, 2*pi) tells the programme to draw the curve in small lines, in increments of 5 percent (0.05) starting from point 0 to point 2*pi. The 0.05 increments determine the smoothness of the curve, especially for more complicated patterns.
For example using
t = vectorin(0, 0.05, 2 * pi * v_nRotations)
while using
t = vectorin(0, 0.005, 2 * pi * v_nRotations)
produces a smoother curve
To draw a pattern in segments, we must control the rotation of point P
This is needed to make the one-colour left figure looks like the multiple-colour right one.
The original code
spirograph = function (R, r, p, nRotations, color)
t = vectorin(0, 0.05, 2*pi*nRotations)
spirograph(60, -15, 10, 1, green)
is modified to draw the pattern in 4 separate segments, each with a different colour. Point P also starts not from point 2*pi*0, but from point 2*pi*(0.000-.125) (to make each peak of one colour) and going in steps of 2*pi*(0.125)*2 (by multiplying in a factor) to reach point 2*pi*(0.125)*7 (to complete the 360 degrees cycle).
The idea is to begin the first segment not from position 0, but half way before it; and to end it half way after it.
Starting from location 0, produces a less attractive pattern.
The new code becomes
spirograph = function (R, r, p, start, step, stop, object, lineSize, color, scale, n, fill)
t=vectorin(start, step, stop) (which provides more control on the beginning, increment, and end of the rotation cycle than when using nRotations)
addplot(object, x*scale, y* scale, n, lineSize, color, 0, 0, fill) (x*scale, y* scale is used in other drawings to control the x and y scaling separately)
The following code: (which P starts from point 2*pi*0.0 to 2*pi*1.0) draws the pattern in Green
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*0.00 , 0.05, 2*pi*1.00, p, 6, Green, 3.5, 0*360/4/6, "Transparent")
showplot(p, 0, 1, 1)
using the following code: which P starts from point 2*pi*(0.000-.125) to 2*pi*(0.000+.125) and then rotating the resulting peak
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.000-.125) , 0.05, 2*pi*(0.000+.125), p, 6, Green, 3.5, 0*360/4, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.000-.125) , 0.05, 2*pi*(0.000+.125), p, 6, Blue , 3.5, 1*360/4, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.000-.125) , 0.05, 2*pi*(0.000+.125), p, 6, Red , 3.5, 2*360/4, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.000-.125) , 0.05, 2*pi*(0.000+.125), p, 6, Violet, 3.5, 3*360/4, "Transparent")
showplot(p, 0, 1, 1)
or using the following code (begin from point 2*pi*(0.125)*-1 and rotated by multiplying in a factor)
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.125)*-1 , 0.05, 2*pi*(0.125)*1, p, 6, Green , 3.5, 0*360/4, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.125)*1 , 0.05, 2*pi*(0.125)*3, p, 6, Blue , 3.5, 0*360/4, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.125)*3 , 0.05, 2*pi*(0.125)*5, p, 6, Red , 3.5, 0*360/4, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.125)*5 , 0.05, 2*pi*(0.125)*7, p, 6, Violet, 3.5, 0*360/4, "Transparent")
showplot(p, 0, 1, 1)
This routine can be repeated and rotated to draw the right drawing, with filling
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.000-.125) , 0.05, 2*pi*(0.000+.125), p, 6, Green, 3.5, 0*360/4/6, "#5500ff00")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.250*1-.125) , 0.05, 2*pi*(0.250*1+.125), p, 6, Blue, 3.5, 0*360/4/6, "#550000ff")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.250*2-.125) , 0.05, 2*pi*(0.250*2+.125), p, 6, Red, 3.5, 0*360/4/6, "#55ff0000")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.250*3-.125) , 0.05, 2*pi*(0.250*3+.125), p, 6, Violet,3.5, 0*360/4/6, "#55ff00ff")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.000-.125) , 0.05, 2*pi*(0.000+.125), p, 6, Green, 3.5, 1*360/4/6, "#5500ff00")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.250*1-.125) , 0.05, 2*pi*(0.250*1+.125), p, 6, Blue, 3.5, 1*360/4/6, "#550000ff")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.250*2-.125) , 0.05, 2*pi*(0.250*2+.125), p, 6, Red, 3.5, 1*360/4/6, "#55ff0000")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.250*3-.125) , 0.05, 2*pi*(0.250*3+.125), p, 6, Violet,3.5, 1*360/4/6, "#55ff00ff")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.000-.125) , 0.05, 2*pi*(0.000+.125), p, 6, Green, 3.5, 2*360/4/6, "#5500ff00")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.250*1-.125) , 0.05, 2*pi*(0.250*1+.125), p, 6, Blue, 3.5, 2*360/4/6, "#550000ff")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.250*2-.125) , 0.05, 2*pi*(0.250*2+.125), p, 6, Red, 3.5, 2*360/4/6, "#55ff0000")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.250*3-.125) , 0.05, 2*pi*(0.250*3+.125), p, 6, Violet,3.5, 2*360/4/6, "#55ff00ff")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.000-.125) , 0.05, 2*pi*(0.000+.125), p, 6, Green, 3.5, 3*360/4/6, "#5500ff00")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.250*1-.125) , 0.05, 2*pi*(0.250*1+.125), p, 6, Blue, 3.5, 3*360/4/6, "#550000ff")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.250*2-.125) , 0.05, 2*pi*(0.250*2+.125), p, 6, Red, 3.5, 3*360/4/6, "#55ff0000")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.250*3-.125) , 0.05, 2*pi*(0.250*3+.125), p, 6, Violet,3.5, 3*360/4/6, "#55ff00ff")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.000-.125) , 0.05, 2*pi*(0.000+.125), p, 6, Green, 3.5, 4*360/4/6, "#5500ff00")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.250*1-.125) , 0.05, 2*pi*(0.250*1+.125), p, 6, Blue, 3.5, 4*360/4/6, "#550000ff")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.250*2-.125) , 0.05, 2*pi*(0.250*2+.125), p, 6, Red, 3.5, 4*360/4/6, "#55ff0000")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.250*3-.125) , 0.05, 2*pi*(0.250*3+.125), p, 6, Violet,3.5, 4*360/4/6, "#55ff00ff")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.000-.125) , 0.05, 2*pi*(0.000+.125), p, 6, Green, 3.5, 5*360/4/6, "#5500ff00")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.250*1-.125) , 0.05, 2*pi*(0.250*1+.125), p, 6, Blue, 3.5, 5*360/4/6, "#550000ff")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.250*2-.125) , 0.05, 2*pi*(0.250*2+.125), p, 6, Red, 3.5, 5*360/4/6, "#55ff0000")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.250*3-.125) , 0.05, 2*pi*(0.250*3+.125), p, 6, Violet,3.5, 5*360/4/6, "#55ff00ff")
showplot(p, 0, 1, 1)
Instead of drawing a whole pattern in segments, only a part of the pattern can be drawn, repeated, rotated, filled and scaled to produce more appealing drawings. Some experiments are needed to find out where the used parts meet each other,
to avoid their overlapping.
spirograph(60*1.5 , -15*1.5 , 12*1.5 , 2*pi*(0.000-.055), 0.05, 2*pi*(0.000+.055), p, 2, "#008800", 3.0, 0*(360/4/8)+0, "Transparent")
spirograph(60*1.5 , -15*1.5 , 12*1.5 , 2*pi*(0.250-.055), 0.05, 2*pi*(0.250+.055), p, 2, "#008800", 3.0, 0*(360/4/8)+0, "Transparent")
spirograph(60*1.5 , -15*1.5 , 12*1.5 , 2*pi*(0.500-.055), 0.05, 2*pi*(0.500+.055), p, 2, "#008800", 3.0, 0*(360/4/8)+0, "Transparent")
spirograph(60*1.5 , -15*1.5 , 12*1.5 , 2*pi*(0.750-.055), 0.05, 2*pi*(0.750+.055), p, 2, "#008800", 3.0, 0*(360/4/8)+0, "Transparent")
spirograph(60*1.5 , -15*1.5 , 12*1.5 , 2*pi*(0.000-.055), 0.05, 2*pi*(0.000+.055), p, 2, "#0000AA", 3.0, 1*(360/4/8)+0, "Transparent")
spirograph(60*1.5 , -15*1.5 , 12*1.5 , 2*pi*(0.250-.055), 0.05, 2*pi*(0.250+.055), p, 2, "#0000AA", 3.0, 1*(360/4/8)+0, "Transparent")
spirograph(60*1.5 , -15*1.5 , 12*1.5 , 2*pi*(0.500-.055), 0.05, 2*pi*(0.500+.055), p, 2, "#0000AA", 3.0, 1*(360/4/8)+0, "Transparent")
spirograph(60*1.5 , -15*1.5 , 12*1.5 , 2*pi*(0.750-.055), 0.05, 2*pi*(0.750+.055), p, 2, "#0000AA", 3.0, 1*(360/4/8)+0, "Transparent")
spirograph(60*1.5 , -15*1.5 , 12*1.5 , 2*pi*(0.000-.055), 0.05, 2*pi*(0.000+.055), p, 2, "#9933CC", 3.0, 2*(360/4/8)+0, "Transparent")
spirograph(60*1.5 , -15*1.5 , 12*1.5 , 2*pi*(0.250-.055), 0.05, 2*pi*(0.250+.055), p, 2, "#9933CC", 3.0, 2*(360/4/8)+0, "Transparent")
spirograph(60*1.5 , -15*1.5 , 12*1.5 , 2*pi*(0.500-.055), 0.05, 2*pi*(0.500+.055), p, 2, "#9933CC", 3.0, 2*(360/4/8)+0, "Transparent")
spirograph(60*1.5 , -15*1.5 , 12*1.5 , 2*pi*(0.750-.055), 0.05, 2*pi*(0.750+.055), p, 2, "#9933CC", 3.0, 2*(360/4/8)+0, "Transparent")
spirograph(60*1.5 , -15*1.5 , 12*1.5 , 2*pi*(0.000-.055), 0.05, 2*pi*(0.000+.055), p, 2, "#AA0000", 3.0, 3*(360/4/8)+0, "Transparent")
spirograph(60*1.5 , -15*1.5 , 12*1.5 , 2*pi*(0.250-.055), 0.05, 2*pi*(0.250+.055), p, 2, "#AA0000", 3.0, 3*(360/4/8)+0, "Transparent")
spirograph(60*1.5 , -15*1.5 , 12*1.5 , 2*pi*(0.500-.055), 0.05, 2*pi*(0.500+.055), p, 2, "#AA0000", 3.0, 3*(360/4/8)+0, "Transparent")
spirograph(60*1.5 , -15*1.5 , 12*1.5 , 2*pi*(0.750-.055), 0.05, 2*pi*(0.750+.055), p, 2, "#AA0000", 3.0, 3*(360/4/8)+0, "Transparent")
spirograph(60*1.5 , -15*1.5 , 12*1.5 , 2*pi*(0.000-.055), 0.05, 2*pi*(0.000+.055), p, 2, "#D2691E", 3.0, 4*(360/4/8)+0, "Transparent")
spirograph(60*1.5 , -15*1.5 , 12*1.5 , 2*pi*(0.250-.055), 0.05, 2*pi*(0.250+.055), p, 2, "#D2691E", 3.0, 4*(360/4/8)+0, "Transparent")
spirograph(60*1.5 , -15*1.5 , 12*1.5 , 2*pi*(0.500-.055), 0.05, 2*pi*(0.500+.055), p, 2, "#D2691E", 3.0, 4*(360/4/8)+0, "Transparent")
spirograph(60*1.5 , -15*1.5 , 12*1.5 , 2*pi*(0.750-.055), 0.05, 2*pi*(0.750+.055), p, 2, "#D2691E", 3.0, 4*(360/4/8)+0, "Transparent")
spirograph(60*1.5 , -15*1.5 , 12*1.5 , 2*pi*(0.000-.055), 0.05, 2*pi*(0.000+.055), p, 2, "#E9967A", 3.0, 5*(360/4/8)+0, "Transparent")
spirograph(60*1.5 , -15*1.5 , 12*1.5 , 2*pi*(0.250-.055), 0.05, 2*pi*(0.250+.055), p, 2, "#E9967A", 3.0, 5*(360/4/8)+0, "Transparent")
spirograph(60*1.5 , -15*1.5 , 12*1.5 , 2*pi*(0.500-.055), 0.05, 2*pi*(0.500+.055), p, 2, "#E9967A", 3.0, 5*(360/4/8)+0, "Transparent")
spirograph(60*1.5 , -15*1.5 , 12*1.5 , 2*pi*(0.750-.055), 0.05, 2*pi*(0.750+.055), p, 2, "#E9967A", 3.0, 5*(360/4/8)+0, "Transparent")
spirograph(60*1.5 , -15*1.5 , 12*1.5 , 2*pi*(0.000-.055), 0.05, 2*pi*(0.000+.055), p, 2, "#DAA520", 3.0, 6*(360/4/8)+0, "Transparent")
spirograph(60*1.5 , -15*1.5 , 12*1.5 , 2*pi*(0.250-.055), 0.05, 2*pi*(0.250+.055), p, 2, "#DAA520", 3.0, 6*(360/4/8)+0, "Transparent")
spirograph(60*1.5 , -15*1.5 , 12*1.5 , 2*pi*(0.500-.055), 0.05, 2*pi*(0.500+.055), p, 2, "#DAA520", 3.0, 6*(360/4/8)+0, "Transparent")
spirograph(60*1.5 , -15*1.5 , 12*1.5 , 2*pi*(0.750-.055), 0.05, 2*pi*(0.750+.055), p, 2, "#DAA520", 3.0, 6*(360/4/8)+0, "Transparent")
spirograph(60*1.5 , -15*1.5 , 12*1.5 , 2*pi*(0.000-.055), 0.05, 2*pi*(0.000+.055), p, 2, "#FFDD00", 3.0, 7*(360/4/8)+0, "Transparent")
spirograph(60*1.5 , -15*1.5 , 12*1.5 , 2*pi*(0.250-.055), 0.05, 2*pi*(0.250+.055), p, 2, "#FFDD00", 3.0, 7*(360/4/8)+0, "Transparent")
spirograph(60*1.5 , -15*1.5 , 12*1.5 , 2*pi*(0.500-.055), 0.05, 2*pi*(0.500+.055), p, 2, "#FFDD00", 3.0, 7*(360/4/8)+0, "Transparent")
spirograph(60*1.5 , -15*1.5 , 12*1.5 , 2*pi*(0.750-.055), 0.05, 2*pi*(0.750+.055), p, 2, "#FFDD00", 3.0, 7*(360/4/8)+0, "Transparent")
"showplot(p, 0, 1, 1)"
---------------------------------------------------------------------------------------------------------
"p = createplot()"
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.000-.055), 0.05, 2*pi*(0.000+.055), p, 2, "#008800", 3.0, 0*(360/4/8)+0, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.250-.055), 0.05, 2*pi*(0.250+.055), p, 2, "#008800", 3.0, 0*(360/4/8)+0, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.500-.055), 0.05, 2*pi*(0.500+.055), p, 2, "#008800", 3.0, 0*(360/4/8)+0, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.750-.055), 0.05, 2*pi*(0.750+.055), p, 2, "#008800", 3.0, 0*(360/4/8)+0, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.000-.055), 0.05, 2*pi*(0.000+.055), p, 2, "#0000AA", 3.0, 1*(360/4/8)+0, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.250-.055), 0.05, 2*pi*(0.250+.055), p, 2, "#0000AA", 3.0, 1*(360/4/8)+0, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.500-.055), 0.05, 2*pi*(0.500+.055), p, 2, "#0000AA", 3.0, 1*(360/4/8)+0, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.750-.055), 0.05, 2*pi*(0.750+.055), p, 2, "#0000AA", 3.0, 1*(360/4/8)+0, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.000-.055), 0.05, 2*pi*(0.000+.055), p, 2, "#9933CC", 3.0, 2*(360/4/8)+0, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.250-.055), 0.05, 2*pi*(0.250+.055), p, 2, "#9933CC", 3.0, 2*(360/4/8)+0, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.500-.055), 0.05, 2*pi*(0.500+.055), p, 2, "#9933CC", 3.0, 2*(360/4/8)+0, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.750-.055), 0.05, 2*pi*(0.750+.055), p, 2, "#9933CC", 3.0, 2*(360/4/8)+0, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.000-.055), 0.05, 2*pi*(0.000+.055), p, 2, "#AA0000", 3.0, 3*(360/4/8)+0, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.250-.055), 0.05, 2*pi*(0.250+.055), p, 2, "#AA0000", 3.0, 3*(360/4/8)+0, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.500-.055), 0.05, 2*pi*(0.500+.055), p, 2, "#AA0000", 3.0, 3*(360/4/8)+0, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.750-.055), 0.05, 2*pi*(0.750+.055), p, 2, "#AA0000", 3.0, 3*(360/4/8)+0, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.000-.055), 0.05, 2*pi*(0.000+.055), p, 2, "#D2691E", 3.0, 4*(360/4/8)+0, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.250-.055), 0.05, 2*pi*(0.250+.055), p, 2, "#D2691E", 3.0, 4*(360/4/8)+0, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.500-.055), 0.05, 2*pi*(0.500+.055), p, 2, "#D2691E", 3.0, 4*(360/4/8)+0, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.750-.055), 0.05, 2*pi*(0.750+.055), p, 2, "#D2691E", 3.0, 4*(360/4/8)+0, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.000-.055), 0.05, 2*pi*(0.000+.055), p, 2, "#E9967A", 3.0, 5*(360/4/8)+0, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.250-.055), 0.05, 2*pi*(0.250+.055), p, 2, "#E9967A", 3.0, 5*(360/4/8)+0, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.500-.055), 0.05, 2*pi*(0.500+.055), p, 2, "#E9967A", 3.0, 5*(360/4/8)+0, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.750-.055), 0.05, 2*pi*(0.750+.055), p, 2, "#E9967A", 3.0, 5*(360/4/8)+0, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.000-.055), 0.05, 2*pi*(0.000+.055), p, 2, "#DAA520", 3.0, 6*(360/4/8)+0, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.250-.055), 0.05, 2*pi*(0.250+.055), p, 2, "#DAA520", 3.0, 6*(360/4/8)+0, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.500-.055), 0.05, 2*pi*(0.500+.055), p, 2, "#DAA520", 3.0, 6*(360/4/8)+0, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.750-.055), 0.05, 2*pi*(0.750+.055), p, 2, "#DAA520", 3.0, 6*(360/4/8)+0, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.000-.055), 0.05, 2*pi*(0.000+.055), p, 2, "#FFDD00", 3.0, 7*(360/4/8)+0, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.250-.055), 0.05, 2*pi*(0.250+.055), p, 2, "#FFDD00", 3.0, 7*(360/4/8)+0, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.500-.055), 0.05, 2*pi*(0.500+.055), p, 2, "#FFDD00", 3.0, 7*(360/4/8)+0, "Transparent")
spirograph(60*1.25 , -15*1.25 , 12*1.25 , 2*pi*(0.750-.055), 0.05, 2*pi*(0.750+.055), p, 2, "#FFDD00", 3.0, 7*(360/4/8)+0, "Transparent")
"showplot(p, 0, 1, 1)"
---------------------------------------------------------------------------------------------------------
and so on
Another method is to draw the needed parts in colour, and the unneeded parts in white or transparent.
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.250-.045) , 0.05, 2*pi*(.250+.045), p, 2, Green, 3.0, 0*360/4/8,"#FF7CFC00")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.250+.045) , 0.05, 2*pi*(.500-.045), p, 2, Transparent, 3.0, 0*360/4/8,"Transparent")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.500-.045) , 0.05, 2*pi*(.500+.045), p, 2, Blue, 3.0, 0*360/4/8,"#AA0000FF")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.500+.045) , 0.05, 2*pi*(.750-.045), p, 2, Transparent, 3.0, 0*360/4/8,"Transparent")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.750-.045) , 0.05, 2*pi*(.750+.045), p, 2, Red, 3.0, 0*360/4/8,"#AAFF0000")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.750+.045) , 0.05, 2*pi*(1.000-.045), p, 2, Transparent, 3.0, 0*360/4/8,"Transparent")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(1.000-.045) , 0.05, 2*pi*(1.000+.045), p, 2, Violet, 3.0, 0*360/4/8,"#AAFF8C00")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(1.000+.045) , 0.05, 2*pi*(1.250-.045), p, 2, Transparent, 3.0, 0*360/4/8,"Transparent")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.250-.045) , 0.05, 2*pi*(.250+.045), p, 2, Green, 3.0, 1*360/4/8,"#FF7CFC00")
pirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.250+.045) , 0.05, 2*pi*(.500-.045), p, 2, Transparent, 3.0, 1*360/4/8,"Transparent")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.500-.045) , 0.05, 2*pi*(.500+.045), p, 2, Blue, 3.0, 1*360/4/8,"#AA0000FF")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.500+.045) , 0.05, 2*pi*(.750-.045), p, 2, Transparent, 3.0, 1*360/4/8,"Transparent")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.750-.045) , 0.05, 2*pi*(.750+.045), p, 2, Red, 3.0, 1*360/4/8,"#AAFF0000")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.750+.045) , 0.05, 2*pi*(1.000-.045), p, 2, Transparent, 3.0, 1*360/4/8,"Transparent")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(1.000-.045) , 0.05, 2*pi*(1.000+.045), p, 2, Violet, 3.0, 1*360/4/8,"#AAFF8C00")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(1.000+.045) , 0.05, 2*pi*(1.250-.045), p, 2, Transparent, 3.0, 1*360/4/8,"Transparent")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.250-.045) , 0.05, 2*pi*(.250+.045), p, 2, Green, 3.0, 2*360/4/8,"#FF7CFC00")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.250+.045) , 0.05, 2*pi*(.500-.045), p, 2, Transparent, 3.0, 2*360/4/8,"Transparent")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.500-.045) , 0.05, 2*pi*(.500+.045), p, 2, Blue, 3.0, 2*360/4/8,"#AA0000FF")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.500+.045) , 0.05, 2*pi*(.750-.045), p, 2, Transparent, 3.0, 2*360/4/8,"Transparent")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.750-.045) , 0.05, 2*pi*(.750+.045), p, 2, Red, 3.0, 2*360/4/8,"#AAFF0000")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.750+.045) , 0.05, 2*pi*(1.000-.045), p, 2, Transparent, 3.0, 2*360/4/8,"Transparent")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(1.000-.045) , 0.05, 2*pi*(1.000+.045), p, 2, Violet, 3.0, 2*360/4/8,"#AAFF8C00")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(1.000+.045) , 0.05, 2*pi*(1.250-.045), p, 2, Transparent, 3.0, 2*360/4/8,"Transparent")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.250-.045) , 0.05, 2*pi*(.250+.045), p, 2, Green, 3.0, 3*360/4/8,"#FF7CFC00")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.250+.045) , 0.05, 2*pi*(.500-.045), p, 2, Transparent, 3.0, 3*360/4/8,"Transparent")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.500-.045) , 0.05, 2*pi*(.500+.045), p, 2, Blue, 3.0, 3*360/4/8,"#AA0000FF")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.500+.045) , 0.05, 2*pi*(.750-.045), p, 2, Transparent, 3.0, 3*360/4/8,"Transparent")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.750-.045) , 0.05, 2*pi*(.750+.045), p, 2, Red, 3.0, 3*360/4/8,"#AAFF0000")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.750+.045) , 0.05, 2*pi*(1.000-.045), p, 2, Transparent, 3.0, 3*360/4/8,"Transparent")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(1.000-.045) , 0.05, 2*pi*(1.000+.045), p, 2, Violet, 3.0, 3*360/4/8,"#AAFF8C00")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(1.000+.045) , 0.05, 2*pi*(1.250-.045), p, 2, Transparent, 3.0, 3*360/4/8,"Transparent")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.250-.045) , 0.05, 2*pi*(.250+.045), p, 2, Green, 3.0, 4*360/4/8,"#FF7CFC00")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.250+.045) , 0.05, 2*pi*(.500-.045), p, 2, Transparent, 3.0, 4*360/4/8,"Transparent")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.500-.045) , 0.05, 2*pi*(.500+.045), p, 2, Blue, 3.0, 4*360/4/8,"#AA0000FF")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.500+.045) , 0.05, 2*pi*(.750-.045), p, 2, Transparent, 3.0, 4*360/4/8,"Transparent")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.750-.045) , 0.05, 2*pi*(.750+.045), p, 2, Red, 3.0, 4*360/4/8,"#AAFF0000")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.750+.045) , 0.05, 2*pi*(1.000-.045), p, 2, Transparent, 3.0, 4*360/4/8,"Transparent")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(1.000-.045) , 0.05, 2*pi*(1.000+.045), p, 2, Violet, 3.0, 4*360/4/8,"#AAFF8C00")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(1.000+.045) , 0.05, 2*pi*(1.250-.045), p, 2, Transparent, 3.0, 4*360/4/8,"Transparent")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.250-.045) , 0.05, 2*pi*(.250+.045), p, 2, Green, 3.0, 5*360/4/8,"#FF7CFC00")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.250+.045) , 0.05, 2*pi*(.500-.045), p, 2, Transparent, 3.0, 5*360/4/8,"Transparent")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.500-.045) , 0.05, 2*pi*(.500+.045), p, 2, Blue, 3.0, 5*360/4/8,"#AA0000FF")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.500+.045) , 0.05, 2*pi*(.750-.045), p, 2, Transparent, 3.0, 5*360/4/8,"Transparent")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.750-.045) , 0.05, 2*pi*(.750+.045), p, 2, Red, 3.0, 5*360/4/8,"#AAFF0000")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.750+.045) , 0.05, 2*pi*(1.000-.045), p, 2, Transparent, 3.0, 5*360/4/8,"Transparent")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(1.000-.045) , 0.05, 2*pi*(1.000+.045), p, 2, Violet, 3.0, 5*360/4/8,"#AAFF8C00")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(1.000+.045) , 0.05, 2*pi*(1.250-.045), p, 2, Transparent, 3.0, 5*360/4/8,"Transparent")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.250-.045) , 0.05, 2*pi*(.250+.045), p, 2, Green, 3.0, 6*360/4/8,"#FF7CFC00")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.250+.045) , 0.05, 2*pi*(.500-.045), p, 2, Transparent, 3.0, 6*360/4/8,"Transparent")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.500-.045) , 0.05, 2*pi*(.500+.045), p, 2, Blue, 3.0, 6*360/4/8,"#AA0000FF")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.500+.045) , 0.05, 2*pi*(.750-.045), p, 2, Transparent, 3.0, 6*360/4/8,"Transparent")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.750-.045) , 0.05, 2*pi*(.750+.045), p, 2, Red, 3.0, 6*360/4/8,"#AAFF0000")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.750+.045) , 0.05, 2*pi*(1.000-.045), p, 2, Transparent, 3.0, 6*360/4/8,"Transparent")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(1.000-.045) , 0.05, 2*pi*(1.000+.045), p, 2, Violet, 3.0, 6*360/4/8,"#AAFF8C00")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(1.000+.045) , 0.05, 2*pi*(1.250-.045), p, 2, Transparent, 3.0, 6*360/4/8,"Transparent")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.250-.045) , 0.05, 2*pi*(.250+.045), p, 2, Green, 3.0, 7*360/4/8,"#FF7CFC00")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.250+.045) , 0.05, 2*pi*(.500-.045), p, 2, Transparent, 3.0, 7*360/4/8,"Transparent")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.500-.045) , 0.05, 2*pi*(.500+.045), p, 2, Blue, 3.0, 7*360/4/8,"#AA0000FF")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.500+.045) , 0.05, 2*pi*(.750-.045), p, 2, Transparent, 3.0, 7*360/4/8,"Transparent")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.750-.045) , 0.05, 2*pi*(.750+.045), p, 2, Red, 3.0, 7*360/4/8,"#AAFF0000")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(.750+.045) , 0.05, 2*pi*(1.000-.045), p, 2, Transparent, 3.0, 7*360/4/8,"Transparent")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(1.000-.045) , 0.05, 2*pi*(1.000+.045), p, 2, Violet, 3.0, 7*360/4/8,"#AAFF8C00")
spirograph(60*1.5 , -15*1.5 , 10*1.5 , 2*pi*(1.000+.045) , 0.05, 2*pi*(1.250-.045), p, 2, Transparent, 3.0, 7*360/4/8,"Transparent")
showplot(p, 0, 1, 1)