By Ian O. Angell, Brian J. Jones

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Extra resources for Advanced Graphics with the Sinclair ZX Spectrum

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Note also that since the vertices of the N·gon are only needed once, we do not store their values but calculate them as required . Again, the limitation in resolution of the screen is apparent on the circumference of the circle. 10a REM ci rc Le1 301 REM IN : XCENT, YCENT, R, XYSCALE 31~ LET XMOVE = XCENT: LET YMOVE = YCENT : GO SUB setorig in 320 LET AOIF = 3/(R*XYSCALE) 33~ LET XPT = R: LET YPT = 0: GO SUB moveto 339 REM caLculate and join points (XPT,YPT) around the circLe. 1 Ob 400 401 410 420 REM circLe2 REM IN : XCENT, YCENT, R, XYSCALE CIRCLE FN X(X CENT) , FN Y(YCENT),R*XYSCALE RETURN We saw that the Spectrum has a BASIC function CIRCLE that enables us to draw a circle.

1 Identify a rectangle in Cartesian space, 30 units by 20 units, with the graphics frame of the Spectrum. 2a) . 5). 6. 6 10fl REM draw;r,g a square 109 REM setup i dent i f i e r s to graph ics routines. 110 LET start 970fl: LET set or i gi n 960fl: LET moveto : LET l i ne t o = 940fl 119 REM define graph ics area. 5 150 GO SUB setor igin 159 REM jo in corners of square in order. 2 It is as well to note , at this juncture, that the order in which the points are joined is critical. 2b will be drawn.

1, which shows a line segment between points (-3, -1) == p(O) and (3, 2)==p(1) : the point (1,1) lies on the line asp(2/3) . Note that (3, 2) is a distance 3y5 from (-3, -1), whereas (1, 1) is a distance 2Y5 . From now on we omit the (/l) from the point vector. 1. At first sight it looks complicated, but on closer inspection it is seen to be simply a square, outside a square, outside a square, etc. The squares are getting successively smaller and they are rotating through a constant angle. In order to draw the diagram we need a technique that, when given a general square, draws a smaller internal square rotated through this fixed angle.

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