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is it possible to create a kind of custom Bezier function in GeoGebra?
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Hi.
I'd like to create something similar to this Desmos demonstration in GeoGebra:
https://www.desmos.com/calc...
It involves a custom function 'f' that operates on points to yield a line or curve based on the points given.
What would be the most convenient way to accomplish this in GeoGebra?
kind regards, Niek
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Do you just need to draw it? Then probably a locus will work.
Otherwise maybe https://wiki.geogebra.org/e... or https://wiki.geogebra.org/e...
Thanks, it seems that the locus function might work. I was just a bit confused about it initially because the slider used in the locus function has to be visible for the locus line to be visible.
I think it is a simple sequence of rotated and dilated (applying a matrix) arcs of ellipse
Yes, but somehow the list expressions at desmos allow for a compact formulation.
With the sequence command I think the expressions can get a bit clunky at geogebra.
Compare for example this simple construction in desmos of a bezier curve defined by three points:
https://www.desmos.com/calc...
In geogebra, it requires a lot more extraneous things, like the dilate function in addition to the locus function and a slider. (Example included as an attachment.)
a cambio GG puede hacer más dinámicas algunas partes de la construccion
adjunto un esquema sin secuencias, pero crear las secuencias no tiene dificultad sobre todo si se usa el comando o la hoja de calculo
en el esquema adjunto los puntos de la circunferencia son libres bastaría con tener los angulos decididos por algun procedimiento
hay una herramienta personal para generar las matrices lo cual en GG ayuda mucho
no aconsejo bezier para eso; mejor spline()
Spline seems to work well https://www.geogebra.org/m/tpgmxxc7
tenía un rato libre
https://www.geogebra.org/m/wyteabk9
¿por qué F9 no funciona? ¿Esto ha sido eliminado?
I think in most of the abstract art by Jean Arp, there are no loops and although there are sometimes sharp corners, they seem to occur less often than nicely rounded shapes.
http://imgbox.com/g/iFRlDn8YMt
So I think one would need some constraints on the curves to obtain more visually pleasing results and generally when shapes occur on top of each other, they usually tend to fit inside (without any parts sticking out beyond the boundaries of the shape below).
It seems a diffusionreaction simulation might be a way to approach generating such random shapes.
https://i.imgur.com/r00paXp.jpg
With fluids, properties like surface tension often ensure that you get nicely rounded shapes.
https://i.imgur.com/2AhttOg.png
With a lower number of points splinart works reasonably well for generating shapes.
https://i.imgur.com/EONRNA2.png
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