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RANDOMIZE
OPTION ARITHMETIC NATIVE
PUBLIC NUMERIC K,XX(4096),YY(4096),ZZ(4096) !'4^LEV
OPTION ANGLE DEGREES
LET ZTH=0 ! z軸のまわりの回転角
LET XTH=0 ! x軸のまわりの回転角初期値
LET YTH=0 ! y軸のまわりの回転角初期値
DIM M(4,4),POINT(4),ROTX(4,4),ROTY(4,4)
MAT M=ROTATE(ZTH)
SET POINT STYLE 1
LET LMIN=1E+10
LET LMAX=-1E+10
INPUT PROMPT "LEVEL(1<=LEV=<6)=":LEV
CALL RECURSIVE(LEV,0,0,0,128)
LET LL=128/2^LEV
FOR I=1 TO K
LET MX=MX+XX(I)+2*LL*COS(0)
LET MX=MX+XX(I)+2*LL*COS(120)
LET MX=MX+XX(I)+2*LL*COS(240)
LET MX=MX+XX(I)
LET MY=MY+YY(I)
LET MY=MY+YY(I)
LET MY=MY+YY(I)
LET MY=MY+YY(I)+2*LL
LET MZ=MZ+ZZ(I)+2*LL*SIN(0)
LET MZ=MZ+ZZ(I)+2*LL*SIN(120)
LET MZ=MZ+ZZ(I)+2*LL*SIN(240)
LET MZ=MZ+ZZ(I)
LET XMIN=MIN(XMIN,XX(I))
LET XMAX=MAX(XMAX,XX(I))
LET YMIN=MIN(YMIN,YY(I))
LET YMAX=MAX(YMAX,YY(I))
LET ZMIN=MIN(ZMIN,ZZ(I))
LET ZMAX=MAX(ZMAX,ZZ(I))
NEXT I
LET RANGE=MAX(XMAX-XMIN,MAX(YMAX-YMIN,ZMAX-ZMIN))
LET XDT=RND-.5
LET YDT=RND-.5
LET MX=MX/4/K
LET MY=MY/4/K
LET MZ=MZ/4/K
LOCATE VALUE NOWAIT(1),RANGE 0 TO 2,AT 1 : SCALE
LOCATE VALUE NOWAIT(2),RANGE -3 TO 5,AT 1 : SPEED
LOCATE VALUE NOWAIT(3),RANGE -RANGE TO RANGE,AT 0 : XMOVE
LOCATE VALUE NOWAIT(4),RANGE -RANGE TO RANGE,AT 0 : YMOVE
LOCATE VALUE NOWAIT(5),RANGE -RANGE TO RANGE,AT 0 : ZMOVE
DO
LOCATE VALUE NOWAIT(1): SCALE
LOCATE VALUE NOWAIT(2): SPEED
LOCATE VALUE NOWAIT(3): XMOVE
LOCATE VALUE NOWAIT(4): YMOVE
LOCATE VALUE NOWAIT(5): ZMOVE
MAT ROTX=IDN ! x軸のまわりの回転
LET ROTX(2,2)=COS(XTH)
LET ROTX(2,3)=SIN(XTH)
LET ROTX(3,2)=-SIN(XTH)
LET ROTX(3,3)=COS(XTH)
MAT ROTY=IDN ! y軸のまわりの回転
LET ROTY(1,1)=COS(YTH)
LET ROTY(1,3)=-SIN(YTH)
LET ROTY(3,1)=SIN(YTH)
LET ROTY(3,3)=COS(YTH)
MAT M=M * ROTX * ROTY
SET DRAW MODE HIDDEN
CLEAR
FOR I=1 TO K
CALL TETRAHEDRON(XX(I),YY(I),ZZ(I),LL)
NEXT I
IF FL=0 THEN
SET WINDOW -LMAX,LMAX,-LMAX,LMAX
LET WW=LMAX*2
END IF
LET FL=1
SET DRAW MODE EXPLICIT
MOUSE POLL X,Y,L,R
IF R<>0 THEN STOP
LET XTH=0
LET YTH=0
IF L<>0 THEN
DO WHILE L<>0
MOUSE POLL X,Y,L,R
LOOP
LET XDT=-(Y-Y0)/WW*5
LET YDT= (X-X0)/WW*5
LET XDT=MAX(-2,MIN(2,XDT))
LET YDT=MAX(-2,MIN(2,YDT))
ELSE
LET XTH=XTH+XDT*SPEED
LET YTH=YTH+YDT*SPEED
END IF
LET X0=X
LET Y0=Y
LOOP
SUB PLOT(X,Y,Z)
LET POINT(1)=X-MX+XMOVE
LET POINT(2)=Y-MY+YMOVE
LET POINT(3)=Z-MZ+ZMOVE
MAT POINT=POINT*M
IF FL=0 THEN
LET LMIN=MIN(LMIN,POINT(1))
LET LMAX=MAX(LMAX,POINT(1))
LET LMIN=MIN(LMIN,POINT(2))
LET LMAX=MAX(LMAX,POINT(2))
ELSE
PLOT LINES:POINT(1)*SCALE,POINT(2)*SCALE;
END IF
END SUB
SUB PLOTLINE(X1,Y1,Z1,X2,Y2,Z2)
PLOT LINES
CALL PLOT(X1,Y1,Z1)
CALL PLOT(X2,Y2,Z2)
PLOT LINES
END SUB
SUB TETRAHEDRON(X,Y,Z,L) !'4面体
CALL PLOT(X+2*L*COS(0),Y,Z+2*L*SIN(0))
CALL PLOT(X+2*L*COS(120),Y,Z+2*L*SIN(120))
CALL PLOT(X+2*L*COS(240),Y,Z+2*L*SIN(240))
CALL PLOT(X+2*L*COS(0),Y,Z+2*L*SIN(0))
CALL PLOTLINE(X+2*L*COS(0),Y,Z+2*L*SIN(0),X,Y+2*L,Z)
CALL PLOTLINE(X+2*L*COS(120),Y,Z+2*L*SIN(120),X,Y+2*L,Z)
CALL PLOTLINE(X+2*L*COS(240),Y,Z+2*L*SIN(240),X,Y+2*L,Z)
END SUB
END
EXTERNAL SUB RECURSIVE(LEV,X,Y,Z,L) !'シェルピンスキー三角形
OPTION ARITHMETIC NATIVE
OPTION ANGLE DEGREES
IF LEV=0 THEN
LET K=K+1
LET XX(K)=X
LET YY(K)=Y
LET ZZ(K)=Z
ELSE
CALL RECURSIVE(LEV-1,X,Y+L,Z,L/2)
CALL RECURSIVE(LEV-1,X+L*COS(0),Y,Z+L*SIN(0),L/2)
CALL RECURSIVE(LEV-1,X+L*COS(120),Y,Z+L*SIN(120),L/2)
CALL RECURSIVE(LEV-1,X+L*COS(240),Y,Z+L*SIN(240),L/2)
END IF
END SUB
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