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fredsfractalpage.com
OrbitFract
http://fredsfractalpage.com/OrbitFract/Program/Build/BuildOrbitFract.html
With the Math unit. Later on I had the disposal of a Delphi 7. Math Unit. For this Orbitfract project the Delphi 7 version is not. To create an executable *.exe file you need the. Pas program file, the *.dfm file with the form definitions and. The *dpr project file. Converting the *.dfm file in *.html format is possible ,but the. Application of this file in the Delphi program was not very. Successful. So I had a problem. The easiest way to solve it,would be to give you the .exe files. Design the Form and.
Summary and History
http://fredsfractalpage.com/Summary.html
The KAMSchRTPol formula was a terminal point of a. Starting with the KAMTorus Formula ,. Read,think,read again ,get an idea and test it on the. Computer,read again etc . After applying the reshuffle method. In the KAMSch formula ,I modified the Hopalong ,Chip, Martin,. GingerBread and other Orbit Fractal Formulas along the same line. It was possible now to generate fractals using decimal and. Complex exponents and complex values for other parameters. With KAMSchRT I introduced the application of. With th...
2.
http://fredsfractalpage.com/Orbitfract/HopPower/HopPow/HopPow0505.25.html
N order to adapt comment,the formulas and the. For HopPower a simple formula without the Sign() function. Xn:=(X1-C1)*sina -(Y1 - Power(Abs(C2*X1-C3),Abs(E) )*cosa;. Yn:=(X1-C1)*cosa (Y1 - Power(Abs(C2*X1-C3),Abs(E) )*sina;. As the sum of the Lyapunov exponents = 0, no HopPow Orbits with attracting. Properties will be found with these formulas. With parameter values identical to those used to create HopPowSign-001. Quite different from the HopPowSign-001 map. Open and plot the 300 orbits of HopPow-001.
OrbitsandFractals
http://fredsfractalpage.com/OrbitFract/Orbits&Fractals.html
A set of Delphi based programs to explore. And plot Orbital Fractals. Developed and written by Fred Schimmel . Dec 2003 - April 2005. Orbit fractals like KAMTorus, Hopalong, Martin and. GingerBreadMan (see FractInt ) can be described with a. Set of formulas of the general form:. X(0) = a , y(0) = b : the starting values of x and y. X (n 1) = function1( xn , yn). Y (n 1) = function2( xn , yn). See Fractint 20.0 par 2.24 , 2.31 and 2.32. By the iteration process is called the orbit. Is the usual procedure.
1.
http://fredsfractalpage.com/OrbitFract/ThreePlyPower/ThreePlyPow/ThreePlyPow0506.02.html
In order to adapt comment,the formula parts. And the start up parameter values. The formulas for ThreeplyPow are:. Xn:=(X1-C1)*sina-(Y1 Power(Xsubst,E) *cosa;. Yn:=(X1-C1)*cosa (Y1 Power(Xsubst,E) *sina;. XSubst:=Abs(Sin(X1)*Cos(C2) C3-X1*Sin(C4) ;. And C4 = C1 C2 C3. Using these formulas no atractors will be found. for reasons I. Is created with the same parameter values. As used for ThreePlyPowSign-001.Quite a difference. Increase the number of iterations to 5*10 5 and plot again. Maxiter = 5*10 5.
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Inside This Guys Head
Inside This Guys Head. About Me and This Blog. God’s Kingdom in the Midst of Empire, Part 2 of 5. March 7, 2018. Be sure to catch the short introductory post here. After years of study and preparation Jesus comes to the synagogue a baptized man. He takes the scroll, opens it to Isaiah 61 and begins with the words,. The Spirit of the Lord is on me,. Jesus is about to preach like an inspired man:. Because he has anointed me. To proclaim good news to the poor. And recovery of sight for the blind,. No wonder...
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