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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
199093 changed files with 3378972 additions and 0 deletions

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main:-
write_sierpinski_pentagon('sierpinski_pentagon.svg', 600, 5).
write_sierpinski_pentagon(File, Size, Order):-
open(File, write, Stream),
format(Stream, "<svg xmlns='http://www.w3.org/2000/svg' width='~d' height='~d'>\n",
[Size, Size]),
write(Stream, "<rect width='100%' height='100%' fill='white'/>\n"),
Margin = 5,
Radius is Size/2 - 2 * Margin,
Side is Radius * sin(pi/5) * 2,
Height is Side * (sin(pi/5) + sin(2 * pi/5)),
X is Size/2,
Y is (Size - Height)/2,
Scale_factor is 1/(2 + cos(2 * pi/5) * 2),
sierpinski_pentagon(Stream, X, Y, Scale_factor, Side, Order),
write(Stream, "</svg>\n"),
close(Stream).
sierpinski_pentagon(Stream, X, Y, _, Side, 1):-
!,
write(Stream, "<polygon stroke-width='1' stroke='black' fill='blue' points='"),
format(Stream, '~g,~g', [X, Y]),
Angle is 6 * pi/5,
write_pentagon_points(Stream, Side, Angle, X, Y, 5),
write(Stream, "'/>\n").
sierpinski_pentagon(Stream, X, Y, Scale_factor, Side, N):-
Side1 is Side * Scale_factor,
N1 is N - 1,
Angle is 6 * pi/5,
sierpinski_pentagons(Stream, X, Y, Scale_factor, Side1, Angle, N1, 5).
write_pentagon_points(_, _, _, _, _, 0):-!.
write_pentagon_points(Stream, Side, Angle, X, Y, N):-
N1 is N - 1,
X1 is X + cos(Angle) * Side,
Y1 is Y - sin(Angle) * Side,
Angle1 is Angle + 2 * pi/5,
format(Stream, ' ~g,~g', [X1, Y1]),
write_pentagon_points(Stream, Side, Angle1, X1, Y1, N1).
sierpinski_pentagons(_, _, _, _, _, _, _, 0):-!.
sierpinski_pentagons(Stream, X, Y, Scale_factor, Side, Angle, N, I):-
I1 is I - 1,
Distance is Side + Side * cos(2 * pi/5) * 2,
X1 is X + cos(Angle) * Distance,
Y1 is Y - sin(Angle) * Distance,
Angle1 is Angle + 2 * pi/5,
sierpinski_pentagon(Stream, X1, Y1, Scale_factor, Side, N),
sierpinski_pentagons(Stream, X1, Y1, Scale_factor, Side, Angle1, N, I1).