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Topic: Christmas Fractal (Read 411 times) |
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DDRM
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Posts: 321
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Christmas Fractal
« Thread started on: Dec 25th, 2015, 11:43am » |
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Greetings All, and Merry Christmas!
I'm sure this isn't novel, but I've never seen it before. It's based on Koch's snowflake, where you convert each line segment into a smaller copy of the whole curve, but in this case each point of the polygon gets expanded.
It makes some quite nice "Christmas wreaths" - or if you choose different parameters you can make things like Sierpinski gaskets, etc. Have fun!
D
Code:
REM A Christmas Fractal Drawing by David Marples
REM Merry Christmas to you all!
MODE 21
REM Parameters: centre point (x and y),
REM number of points of polygon,
REM starting angle (to rotate whole pattern)
REM Starting side length
REM Ratio between sides of consecutive generations
REM Starting colour
PROCDraw(800,600,8,0,350,0.40,1)
END
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DEFPROCDraw(px%,py%,np%,sa,r,dr,c%)
LOCAL p%(),x%
DIM p%(np%,1)
IF c%>15 THEN c%=1
GCOL c%
FOR x%=0 TO np%
p%(x%,0)=px%+r*COSRAD(sa+x%*360/np%)
p%(x%,1)=py%+r*SINRAD(sa+x%*360/np%)
CIRCLE FILL p%(x%,0),p%(x%,1),r*dr
NEXT x%
FOR x%=0 TO np%-1
LINE p%(x%,0),p%(x%,1),p%(x%+1,0),p%(x%+1,1)
NEXT x%
IF r>16 THEN
FOR x%=0 TO np%-1
PROCDraw(p%(x%,0),p%(x%,1),np%,sa,r*dr,dr,c%+1)
NEXT x%
ENDIF
ENDPROC
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KenDown
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Re: Christmas Fractal
« Reply #1 on: Oct 25th, 2016, 12:55pm » |
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Clever - and attractive.
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DDRM
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Re: Christmas Fractal
« Reply #2 on: Oct 25th, 2016, 3:58pm » |
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Wow, that was a blast from the past!
D
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