‘еXbf!ЉСq@%GžŽЧ,hќXџџџџџО Ј( @€ЯаРПпрАяЏ  я(№/№/я(я рŸ 0№/8џ0@џ0?џ/8№ 0я(р п?Gџ@PџOWџOXџOPџ?Hџ0@№/7я@Oџ_`џ`hџ_hџPXџ 0р(пP_џopџpxџowџ_gџ@O№/8я'п'р 7№pџ€џ‡џ`oџ?Gя/7р Я€0?№€ˆџ?Hя/8р`/пo?G№OX№@Hя0?р/аpOW№?Hр/8п 7яOPя?Gр/7п(Я РP0@яPX№@Oя0@п 0аO а@H№/Я@'а 0п0@р@P№0?п'Я_OP№@Hр(а 7п/7а'Р Пџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџ^^^^^^^^^^џџџџџџџџџџџџџџџџџџџџ^^^^^^^^^^^^^^џџџџџџџџџџџџџџџџ^^TeeBBBBeTT^^^^^^џџџџџџџџџџџџџ^eBDJ33333JJDBeZ^^^^џџџџџџџџџџџTD33==#####==3JDBT^^^^џџџџџџџџџeJ=###=3DeZ^^TџџџџџџџB3# #=3JBZ^^Tџџџџџџ3#  #=JBT^^џџџџџJ# Sll #=JBZ^Tџџџџ# %,68??86,/@A*< ##џџџџ45('.6787-9%:;*<=#џџџџџ$+&,--.,/01)2 3џџџџџџ $%&&'%($!)* ##џџџџџџџ  !"#џџџџџџџџџ  џџџџџџџџџџџ  џџџџџџџџџџџџџ џџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџРџџџќџј№?рРР€€€€РРр№?јќџџџџРџduKЯoыт@Єєobject0Ўџџџџœџџџџџџџ И[џџџџ show_info()0000000Иcџџџџdegree20000000Иcџџџџdegree10000000Иcџџџџ degree2inc1.998000000џџџџџџџџџџџџИ[џџџџњroom_caption="Lissajous figures. Keys up/down Frequency ratio = " +string_format(degree2inc,6,3) while(degree1>360) degree1=degree1-360 //avoid mathematical overflow while(degree2>360) degree2=degree2-360 //avoid mathematical overflow 0000000џџџџџџџџ(Иcџџџџ degree2inc-0.001000000&Иcџџџџ degree2inc.001000000џџџџџџџџџџџџИЇџџџџ3600000000ИІџџџџ00000000Иcџџџџdegree11000000Иcџџџџdegree2 degree2inc000000Иџaction_draw_rectangleџџџџ200*sin(degree1*pi/180)-2200*cos(degree2*pi/180)-2200*sin(degree1*pi/180)+2200*cos(degree2*pi/180)+20000ИЈџџџџ00000000џџџџџџџџџџџџЄroom0€рРРРџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџ€р€р џџџџџџџџџџџџ€р€р џџџџџџџџџџџџ€р€р џџџџџџџџџџџџ€р€р џџџџџџџџџџџџ€р€р џџџџџџџџџџџџ€р€р џџџџџџџџџџџџ€р€р џџџџџџџџџџџџ€р€р џџџџџџџџџџџџ0№Ђ†Ђ†€–˜XџGame InformationџџџџџџџџX{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fnil\fcharset0 Arial;}{\f1\fnil Arial;}{\f2\fnil\fcharset2 Symbol;}{\f3\fnil MS Sans Serif;}{\f4\fnil\fcharset0 Courier New;}} {\colortbl ;\red0\green0\blue0;\red0\green0\blue128;} \viewkind4\uc1\pard\cf1\b\fs52 Lissajous figures\fs24 \par Tony Forster January 05 \par \fs20 May be copied with acknowledgement\b0\fs24 \par \par Press escape to see demo, F1 to return to this screen \par \par \f1 Lissajous curves are the family of curves described by the equations\f0 : \par \f1 \par x(t)\tab =\tab\f0 sin\f1 (\f2 w1\f0 * t + \f2 d1\f1 ) \par y(t)\tab =\tab\f0 sin\f1 (\f2 w2\f0 * t + \f2 d2\f1 ) \par \par \f0 Where \f2 w1 \f0 and \f2 w2 \f0 are the frequencies of the x and y axes.\f1 The curves close\f0 (eventually)\f1 if \f2 w1\f1 /\f2 w2 \f1 is rational. They were studied by Jules-Antoine Lissajous in 1857. Lissajous curves have applications in physics, astronomy, and other sciences. \par \par \f0 Increase/decrease \f2 w2\f0 with the up/down cursor keys\f1 \par \f0 \par Try: \par \f2 w1 = w2 \par w1 = 2 * w2 \par w1 = 3 * w2 \par w1 = 0.5 * w2 \par w1 = 0.333 * w2 \par \f0 and others \par \par The following code plots 360 little dots for each draw event, each 4x4 pixels. \par pi/180 converts degrees to radians \par The plot is 400x400 because of the factor 200 \par \f1 \par \cf0\b\f3\fs16 Draw Event: \par \b0 repeat next action (block) 360 times \par set variable degree1 relative to 1 \par set variable degree2 relative to degree2inc \par draw rectangle with relative vertices (200*sin(degree1*pi/180)-2,200*cos(degree2*pi/180)-2) and (200*sin(degree1*pi/180)+2,200*cos(degree2*pi/180)+2), filled \par \cf1\f1\fs24 \par \f0 See the effect if you vary the factor 360. Why? \par Can you change the size of the dots? \par Can you change the size of the plot? \par Try this code \cf2\f4\fs20 draw_set_color\cf1 (1000*degree1) \f0\fs24 just before the \cf0\f3\fs16 draw rectangle with relative vertices \cf1\f1\fs24 \par } єSpritesSounds BackgroundsPathsScripts Fonts Time LinesObjectsobject0Roomsroom0 Game Information Global Game Settings