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Hi,
Dynamic Color can be used easily as a powerful tool to discover unknown loci, just knowing the condition to be satisfied by each point.
Steps:
A=(2,-1)
B=(10,-3)
C=(8,2) (Trace On)
a=Segment[A,C]
b=Segment[B,C]
goal=10 (slider)
condition=(a+b)/goal
Dynamic Color to C: R = G = B = condition
Move C! (ghost: ellipse)
goal=5
condition=(a-b)/goal
Move C! (ghost: hyperbola)
goal=16
condition=(a b)/goal
Move C! (ghost: Cassini oval)
Of course, the condition can be much more elaborate. In addition, instead of gray color can easily obtain. For example:
All the Best,
Rafa
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Hi Rafa
Excellent :D
hola rafael
esto es una maravilla
ya estoy pensando en fantasmas de inecuaciones
pero, por supuesto, que se animen automaticamente
espero que te mejores de tu más que previsible tendinitis dactilar
lo traduciré debajo con un traductor para que no digan que aquí se habla inglés
saludos
translated with REVERSO:
Hello Rafael this is a marvel
already I am thinking about ghosts of inequations
but, certainly, with automatic animation
I hope that you get improved of your more than predictable finger tendinitis
Regards
Hi
After more than 3 hours:
https://ggbm.at/540109
Really beautiful :D :exclamation: :exclamation: :exclamation:
Rafa
hi
In the zzz.ggb file, instead 20 iterations A1,..., A20 I made 100 iterations A1, ..., A100. After 4 hours, the result was this:
:D Other four hours... without random :D
https://ggbm.at/540117
Rafa,
!magnífico, increíblemente hermoso!
Kathryn
Ola Rafa
Waiting 4 hours can be a pleasure :D
Bravo
Hello!
I like very much your construction - by the way that reminds me the programing on our old Commodore C64 after reading about the Mandelbrot set in Scientific American in 1986.... Anybody remembers those times?
Yes, me, for example
And 64 KB was an eternity ... :-)
Greetings to the GI of Warsaw!
Saludos,
Rafa
Hello (again) :)
I've found a method to create this "color mapping" very fast, in seconds. You can see a very simple example in:
http://www.youtube.com/watch?v=Uj2K_-0gPxQ
Basically, the technic consists use spreadsheet to copy fastly the Dynamic Color property to 300 or 350 points. It's enough construct of the first row of the spreasheet and then copy all the rest.
Depending on the computer, you may need to change the speed slider to get a "clean" scan.
See attached for details (it's better to see first the scannner.ggb file).
Best Regards,
Rafael Losada
https://ggbm.at/544677
https://ggbm.at/544679
Che meraviglie!
Ciao
Renata
hello
this method will graph beautiful inequalities
te veo en forma rafa
saludos
Thank you, Mathmagic.
Yes, the method can get any map if we can construct the conditions of only one point in the first row of the spreadsheet.
Saludos,
Rafa
PS: También te veo en forma :-)
Bjr, Noel
Yes, a nice (arab? :D ) example!
Best,
Rafa
https://ggbm.at/544959
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