It is a great book! Plus, we have the added benifit of having access to the man here on the list!
Charles P. On 9/19/06, Andreas R <[EMAIL PROTECTED]> wrote:
Whoa, thanks for pointing me to that book. Just ordered it :) sounds like exactly what i need. - A Charles Parcell wrote: > This is why Danny is "The Math Man"! > > BTW, love your book Danny. Can't wait for the next. :) > http://www.amazon.com/Mathematics-Physics-Programmers-Game-Development/dp/1584503300/sr=1-1/qid=1158676544/ref=pd_bbs_1/104-0626050-4073525?ie=UTF8&s=books > > > Charles P. > > > On 9/18/06, Andreas R <[EMAIL PROTECTED]> wrote: >> >> Danny Kodicek wrote: >> >> I can email an image to anyone that wants it, or you can draw it like >> >> this... >> >> >> >> I think this is what you want... >> >> Draw a point and a line vertically upwards of length R. >> >> Draw a large letter V (inverted cone) upwards from the point. >> >> Draw an arc, radius R to cut the V. >> >> Where the arc cuts the vertical draw a circle, radius r, to meet the >> edges >> >> of V. >> >> The edges of V are tangents. >> >> Draw radii to these tangents, making 90 degree angles with them. >> >> Mark r and R on the diagram. >> >> Now r/R = sin(A), where A is half the angle at the bottom of the V. >> >> >> >> Let's say there are n of these small circles, so that >> >> n*2*A = 360 (degrees) >> >> or >> >> n*2*A = 2*pi (radians) >> >> >> >> You can decide n and find A and then find r/R (the angles are usually >> in >> >> radians). >> >> You can then decide R and find r (or other way around). >> >> >> >> Each time through the loop for <=n the new angle measured from >> >> the vertical >> >> in a clockwise direction is n*2*A. >> >> The place to draw each circle is x=Rsin(n*2*A) and y=Rcos(n*2*A) >> >> >> > >> > I enjoyed this one, so I came back to it and wrote a complete >> solution. >> Put >> > a symbol in the library with id 'circle', then run this script: >> > >> > function getRingRadius(tArray:Array):Number { >> > var tMaxError = 0.1 >> > var tMax = 1024 >> > var tMin = 0 >> > do { >> > var tCheck = (tMax + tMin) / 2 >> > var tSum = 0 >> > for (var i = 0; i<tArray.length; i++) { >> > tSum += Math.atan2(tArray[i],tCheck) >> > } >> > if (tSum>Math.PI) { >> > tMin = tCheck >> > } else { >> > tMax = tCheck >> > } >> > } while (Math.abs(tSum - Math.PI)>tMaxError) >> > return tCheck >> > } >> > var tRadii = new Array() >> > for (var i=0; i<10 ; i++) { >> > tRadii.push(Math.random()*20+1) >> > } >> > var tRingRadius = getRingRadius(tRadii) >> > var tSquaredRadius = tRingRadius * tRingRadius >> > var tAngle = 0 >> > for (var i=0; i<10 ; i++) { >> > tCircle = this.attachMovie("circle", "circle"+i, >> > this.getNextHighestDepth()) >> > tCircle._width = tCircle._height = tRadii[i]*2 >> > tThisAngle = Math.atan2(tRadii[i], tRingRadius) >> > tAngle += tThisAngle >> > tDistance = Math.sqrt(tRadii[i]*tRadii[i] + tSquaredRadius) >> > tCircle._x = 200 + tDistance * Math.cos(tAngle) >> > tCircle._y = 200 + tDistance * Math.sin(tAngle) >> > tAngle += tThisAngle >> > } >> > >> > NB: my previous script had my max and min mixed up so it didn't work. >> This >> > one is correct. >> > >> > Danny >> > >> > _______________________________________________ >> > [email protected] >> > To change your subscription options or search the archive: >> > http://chattyfig.figleaf.com/mailman/listinfo/flashcoders >> > >> > Brought to you by Fig Leaf Software >> > Premier Authorized Adobe Consulting and Training >> > http://www.figleaf.com >> > http://training.figleaf.com >> > >> You guys are gods :) >> Thanks so much! My problem was solved completely by slight modifications >> to Danny's script. What i'd do without this list i don't know. >> >> - Andreas >> _______________________________________________ >> [email protected] >> To change your subscription options or search the archive: >> http://chattyfig.figleaf.com/mailman/listinfo/flashcoders >> >> Brought to you by Fig Leaf Software >> Premier Authorized Adobe Consulting and Training >> http://www.figleaf.com >> http://training.figleaf.com >> > _______________________________________________ > [email protected] > To change your subscription options or search the archive: > http://chattyfig.figleaf.com/mailman/listinfo/flashcoders > > Brought to you by Fig Leaf Software > Premier Authorized Adobe Consulting and Training > http://www.figleaf.com > http://training.figleaf.com _______________________________________________ [email protected] To change your subscription options or search the archive: http://chattyfig.figleaf.com/mailman/listinfo/flashcoders Brought to you by Fig Leaf Software Premier Authorized Adobe Consulting and Training http://www.figleaf.com http://training.figleaf.com
_______________________________________________ [email protected] To change your subscription options or search the archive: http://chattyfig.figleaf.com/mailman/listinfo/flashcoders Brought to you by Fig Leaf Software Premier Authorized Adobe Consulting and Training http://www.figleaf.com http://training.figleaf.com
