       Creating a Mandala

• To: mathgroup at smc.vnet.net
• Subject: [mg102046] Creating a Mandala
• From: BenT <brtubb at pdmusic.org>
• Date: Mon, 27 Jul 2009 06:07:22 -0400 (EDT)

```I've attempted to convert a Decimal BASIC 7 program to Mathematica 7,
but can't get the graphics to work as expected. Can anyone help? The
source and my conversion code follows:

<--- Decimal BASIC source --->
REM MANDALA1.bas
REM from
REM http : // utenti.quipo.it/base5/mumeri/mandala.htm
OPTION ANGLE DEGREES
LET q = 2^20
LET fraz = 5
LET ng = 3
LET q1 = 250
LET f = (q1/q)
LET cr = 5
SET WINDOW - q1 - cr, q1 + cr, -q1 - cr, q1 + cr
LET xv = 0
LET yv = 0
LET ro = q/fraz*ng
LET th = 0
LET xv = fraz/ng*f*ro*COS (th)
LET yv = 0
FOR i = 1 TO q/fraz*ng
LET n = n + i
LET t = MOD (n, q)
IF t = 0 THEN LET t = q
LET th = t*(360/(q))
LET x = fraz/ng*f*ro*COS (th)
LET y = fraz/ng*f*ro*SIN (th)
SET LINE COLOR MOD (i, fraz) + 1
PLOT LINES : xv, yv; x, y
LET xv = x
LET yv = y
NEXT i
END

<--- Mathematica Code Conversion Attempt --->
q=2^20;
fraz=5;
ng=3;
q1=250;
f=q1/q;
cr=5;
xv=0;
yv=0;
ro=q/fraz*ng;
th=0;
xv=fraz/ng*f*ro*Cos[th Degrees];
yv=0;

Graphics[
For[i=1,i<=q/fraz*ng,i++,
n=n+i;
t=Mod[n,q];
If[t==0,t=q];
th=t*360/q;
x=fraz/ng*f*ro*Cos[th Degree];
y=fraz/ng*f*ro*Sin[th Degree];
{{Black,Green,Blue,Red,Yellow}[[Mod[i,fraz]+1]],
Line[{xv,yv},{x,y}]}
xv=x;
yv=y;
]
,ImageSize->{Abs[-q1-cr-(q1+cr)],Abs[-q1-cr-(q1+cr)]}
]

I'm not sure how to allow the "Line" function to work multiple times
within the Graphics function without creating its ouptut in multiple
ouptut cells instead of just one as needed.

```

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