3DLOGO

3D−LOGO

−空間図形・フラクタル・アニメーション−

 (2)フラクタル(その1)
 再帰処理を活かして、いろいろなフラクタル図形を描いてみる。
最初にコッホ曲線のいろいろ。

TO KOCH :K :L
 IF :K < 1 [FD :L STOP]
 KOCH :K - 1 :L ÷ 3 LT 60
 KOCH :K - 1 :L ÷ 3 RT 120
 KOCH :K - 1 :L ÷ 3 LT 60
 KOCH :K - 1 :L ÷ 3
END

上:KOCH 1 300 下:KOCH 5 1000

TO KOCH1 :K :L
 IF :K < 1 [FD :L STOP]
 RT 45 KOCH1 :K - 1 :L ÷ 4 × √ 2
 LT 90 KOCH1 :K - 1 :L ÷ 4 × √ 2
 KOCH1 :K - 1 :L ÷ 4 × √ 2 RT 90
 KOCH1 :K - 1 :L ÷ 4 × √ 2
 LT 45
END

上:KOCH1 1 300 下:KOCH1 5 1000

TO KOCH2 :K :L
 IF :K < 1 [FD :L STOP]
 REPEAT 2 [KOCH2 :K - 1 :L ÷ 4 LT 60] RT 180
 REPEAT 2 [KOCH2 :K - 1 :L ÷ 4] LT 120
 REPEAT 2 [KOCH2 :K - 1 :L ÷ 4 RT 60] LT 60
END

上:KOCH2 1 300 下:KOCH2 4 1000

TO KOCH3 :K :L
 IF :K < 1 [FD :L STOP]
 KOCH3 :K - 1 :L ÷ 4 LT 90
 REPEAT 2 [KOCH3 :K - 1 :L ÷ 4 RT 90]
 REPEAT 2 [KOCH3 :K - 1 :L ÷ 4]
 REPEAT 2 [LT 90 KOCH3 :K - 1 :L ÷ 4]
 RT 90 KOCH3 :K - 1 :L ÷ 4
END

上:KOCH3 1 300 下:KOCH3 4 1000

TO KOCH4 :K :L :R
 IF :K < 1 [FD :L STOP]
 LT :R KOCH4 :K - 1 :L × COS :R :R
 RT 90 KOCH4 :K - 1 :L × SIN :R :R
 LT 90 - :R
END

上:KOCH4 1 300 45下:KOCH4 12 500 45


上:KOCH4 1 300 30 下:KOCH4 10 500 30

TO KOCH5 :K :L :R
 IF :K < 1 [FD :L STOP]
 MAKE "L :L ÷ 2 ÷ COS :R
 LT :R KOCH5 :K - 1 :L :R
 RT 2 × :R KOCH5 :K - 1 :L :R
 LT :R
END

上:KOCH5 1 300 30 下:KOCH5 10 500 30

TO KOCH6 :K :L
 IF :K < 1 [FD :L STOP]
 RT 15 KOCH6 :K - 1 :L ÷ √ 6
 LT 90 KOCH6 :K - 1 :L ÷ √ 6
 RT 150 KOCH6 :K - 1 :L ÷ √ 6
 LT 90 KOCH6 :K - 1 :L ÷ √ 6
 RT 15
END

上:KOCH6 1 300 下:KOCH6 5 1000

TO KOCH7 :K :L
 IF :K < 1 [FD :L STOP]
 RT 30 KOCH7 :K - 1 :L ÷ ( 1 + √ 3 )
 LT 120 KOCH7 :K - 1 :L ÷ ( 1 + √ 3 )
 RT 150 KOCH7 :K - 1 :L ÷ ( 1 + √ 3 )
 LT 120 KOCH7 :K - 1 :L ÷ ( 1 + √ 3 )
 RT 150 KOCH7 :K - 1 :L ÷ ( 1 + √ 3 )
 LT 120 KOCH7 :K - 1 :L ÷ ( 1 + √ 3 )
 RT 30
END

上:KOCH7 1 300 下:KOCH7 5 800

TO KOCH8 :K :L
 IF :K < 1 [FD :L STOP]
 KOCH8 :K - 1 :L ÷ 3 LT 60
 KOCH8 :K - 1 :L ÷ 3 RT 120
 KOCH8 :K - 1 :L ÷ 3 RT 60
 REP 2 [KOCH8 :K - 1 :L ÷ 3 RT 120]
 REP 2 [KOCH8 :K - 1 :L ÷ 3]
END

上:KOCH8 1 300 下:KOCH8 5 800

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