By Ian O. Angell, Brian J. Jones
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Extra resources for Advanced Graphics with the BBC Model B Microcomputer
A general point p(P) == (x, Y) is given by the combination of scalar multiples and vector addition (1 - Jl)PI + 1JP2 for some real value of IJ; that is the vector «1 - IJ) x XI + IJ x X2, (1 - IJ) x YI + Jl x Y2). We place the IJ in brackets after P to show the dependence of the vector on the value of IJ. Later when we understand the relationship more fully we shall leave out the (P). ) lies on the line somewhere between PI and P2. ) from PI distance of P 2 from P I where the measure of distance is positive if p(P) is on the same side of PI as P2, and negative otherwise.
9 ('rose'). Data required: the values of M and N. Use N ~ 30 and for the best results set M < N ~ 15. 10 ('main program' and 'circle'). No data required. 11 ('main program' and 'spiral'). No data required. When the spirals start to rotate you should stare at the screen for 30 seconds. The square appears to expand. 12 ('envelope'). Data required: an integer N. For best results take 2 ~ N ~ 30. 10 as a model). Data required: three integers A, B and D, where A>B> D. Choose HORIZ, VERT etc. so that the diagram fits on to the screen; that is, both HORIZ and VERT must be greater than 2· (A - B + D).
I ,I , I . --- - - ... : ..... _-- ... '" " I '. •... ' -. ... ........ 7) 31~ STOP 500 REM spiraL 51~ DEF PROCspiraL(XCENT,YCENT,RMAX,NX,BETA) 520 PROCsetorigin(XCENT,YCENT) 530 ADIF=PI/50 : A=BETA 540 RDIF=RMAX/(NX*10~) 550 FOR R=RDIF TO RMAX STEP RDIF 560 PROCLineto(R*COS(A),R*SIN(A» 570 A=A+ADIF 580 NEXT R 590 PROCLineto(RMAX*COS(BETA),RMAX*SIN(BETA» 600 PROCsetorigin(-XCENT,-YCENT) 610 ENDPROC N points are placed on each of the four arms (of unit length) which divide the plane into the four quarters.