Full Version: [script] FxGraph - 2D/3D Function plotter

Show messages:  1-15  16-35  36-55  56-75  76-91

Very cool Max!

- Michael

---

Thank you!

---

Version 1.0
Changes since 0.6:
[fixed] some bugs
[added] Command line parameters support. Click X(u,v), Y(u,v) or Z(u,v) label to copy values to the clipboard.

Examples:
_FxGraph3D (u);(v);rnd;-10;10;-10;10;10;15;;;;U
_FxGraph3D u*a+rnd-0.5;v*b+rnd-0.5;rnd*c-c/2;-10;10;-10;10;50;50;2;2;40;P
_FxGraph3D 2*(1-exp(u/(6*pi)))*cos(u)*cos(v/2)*cos(v/2);2*(-1+exp(u/(6*pi)))*sin(u)*cos(v/2)*cos(v/2);1-exp(u/(3*pi))-sin(v)+exp(u/(6*pi))*sin(v);0;20;0;6.283185307179586;50;50;;;;V
_FxGraph3D (2+v*sin(u))*sin(2*pi*v);v*cos(u);(2+v*sin(u))*cos(2*pi*v)+2*v-v;0;3.14;0;1.3;50;50;;;;V
_FxGraph3D sin(u);cos(u);u*u/300;0;60;0;1.3;100;0;;;;V

Michael, Thank you!

---

Hello all :)

It's nice and what do do with the curves?

X():cos(2*u)*cos(v) + 1.0 *cos(u)
Y():sin(v)
Z():-sin(2*u)*cos(v) + 1.0*sin(u)

[u]:0, 2*pi
[v]:0, 2*pi

And how do I get now to my mathematical NURBS model...?

http://imaginary.org/gallery/k3dsurf

Cu
Torolf

---

Cool!
French version ; ) http://moiscript.weebly.com/fx-graph-3d.html

---

Very nice script!

Fermat Spiral:
_FxGraph3D a*c*sqrt(v)*cos(v);b*c*sqrt(v)*sin(v);0;0;1;0;6.283185307179586;0;50;1;1;1;UV

This can be pasted to the command window in Moi.
1. Highlight and CTRL-C the entire Fermat Spiral equation line above, _FxGraph3D...;UV
2. In Moi, press TAB key, and CTRL-V paste, then press Return. Voila

The a, b, and c values will scale the curve.
A negative c will rotate the curve.
A negative a and positive b will Mirror the curve.
a, b, and c are not really needed, as Moi can do these actions already.

- Brian

I just did a Fermat Spiral script, but can now delete it :-)
Or add some bells and whistles.

Image Attachments:
FermatYinYang.PNG 

---

Sphere
_FxGraph3D cos(u)*cos(v)*a;sin(u)*cos(v)*b;sin(v)*c;0;6.283185307179586;-1.5707963267948966;1.5707963267948966;50;50;1;1;1;V

Torus
_FxGraph3D cos(u)*(cos(v)+a/b)*b;sin(u)*(cos(v)+a/b)*b;sin(v)*b;-3.141592653589793;3.141592653589793;-3.141592653589793;3.141592653589793;50;50;20;10;;UV

Spiral
_FxGraph3D cos(u/c)*(cos(v)+a/b)*b;sin(u/c)*(cos(v)+a/b)*b;sin(v)*b+u;0;50;0;6.283185307179586;100;20;10;3;2;UV

Conic Spiral
_FxGraph3D cos(u)*(u/(a*pi)*cos(v)+b)*c;sin(u)*(u/(a*pi)*cos(v)+b)*c;u*sin(v)/(a*pi)*c;0;9.42477796076938;0;6.283185307179586;100;20;1.5;5;1;U

Knot
_FxGraph3D cos(u)*cos(v)+c*cos(u)*(b+sin(u*a)/2);sin(u)*cos(v)+c*sin(u)*(b+sin(a*u)/2);sin(v)+2*cos(a*u);0;18.84955592153876;0;6.283185307179586;300;10;1.666666;2;3;UV

Dini's Surface
_FxGraph3D cos(u)*sin(v);sin(u)*sin(v);cos(v)+log(tan(v/2))+a*u;0;12.566370614359172;0.1;2;300;10;0.3;;;U

Enneper surface
_FxGraph3D u*cos(v)-pow(u,2*a-1)/(2*a-1)*cos((2*a-1)*v);-u*sin(v)-pow(u,2*a-1)/(2*a-1)*sin((2*a-1)*v);2/a*pow(u,a)*cos(a*v);0;1.2;0;6.283185307179586;50;27;4;;;UV

---

Maybe someone could come up with a repository for these formulas,
an easy place to copy them from, ... in Moi , or someplace like the object library?

- Brian

---

Version 1.1beta
Changes since 1.0:
[added] Surface modes (beta): SrfV and SrfU. Use it carefully. Sometimes it can hang MoI for up to a few minutes.


>>Maybe someone could come up with a repository for these formulas, an easy place to copy them from, ... in Moi , or someplace like the object library?
Hi Brian!
It's good idea. I'll think about it.

---

Golden Logarithmic Spiral, also known as equiangular spiral, and Spira Mirabilis.
For growth factor b = 0.306349 (approx.), the Golden Spiral is formed, for angles in radians.
a is a scale factor.
c is the number of "coils."
_FxGraph3D a*cos(c*v)*exp(b*c*v);a*sin(c*v)*exp(b*c*v);0;0;1;0;6.283185307179586;0;50;1;0.306349;2;UV

- Brian

---

Excellent!
The trick is run the Script then just take 2 curves from the result for make a Loft or a Sweep! ;)

---

Heart (half)
(c of 2 makes a full heart, but with two hairpin curve regions.)
_FxGraph3D a*16*sin(c*v)*sin(c*v)*sin(c*v);a*(13*cos(c*v)-5*cos(2*c*v)-2*cos(3*c*v)-cos(4*c*v));0;0;1;0;3.141592653589793;0;50;1;1;1;UV

---

With the last beta "Cancel" don't works with these parameters and reasonnable time!

---

I think it is a tradeoff due to the speed of the htm code?

- Brian

---

While writing Math nodes for my nodeedit project, I found one significant bug in the FxGraph/3D code. The script incorrectly processes a square brackets and "rnd" command in some cases.
Updated scripts:
http://moi.maxsm.net/media/files/FxGraph3D.v.1.1.2016.04.17.zip
http://moi.maxsm.net/media/files/FxGraph.v.1.2e.2016.04.17.zip

---

While exploring Scherk2 minimal surface, and hyperbola, these shapes came up:

sinhLeaf:
_FxGraph3D u;v;((exp(u) - exp((-1)*u))/2 + (exp(v) - exp((-1)*v))/2);-3.14159;3.14159;-3.14159;3.14159;15;15;0;0;0;UV

sinhcoshScoop:
_FxGraph3D u;v;((exp(u) - exp((-1)*u))/2 + (exp(v) + exp((-1)*v))/2);-3.14159;3.14159;-3.14159;3.14159;15;15;;;;UV

coshBag:
_FxGraph3D u;v;((exp(u) + exp((-1)*u))/2 + (exp(v) + exp((-1)*v))/2);-3.14159;3.14159;-3.14159;3.14159;15;15;;;;UV

The scripts can be stored in a notepad++ text file.

To repeat how to view in MoI, with Max's _FXGraph3D script already installed, highlight one entire line, press Ctrl+C.
Open MoI, press TAB, press Ctrl+V, press Enter.
Network can be used to make a quick surface.

- Brian

---

Beautyful - did not know about that cpoy+paste function !

---

This script is called BowTie.
_FxGraph3D v*sin(u);v*cos(u);a * asin(((exp(u*sin(v)) - exp(-u*sin(v)))/2) * ((exp(u*cos(v)) + exp(-u*cos(v)))/2));-0.8;0.8;-3.14159;3.14159;15;15;1;;;UV

Selecting just the U iso curves, allows trim with a point at the origin.
Each bow will then network at the 15 curve density.
Each surface can be extruded slightly and the fillet applied.

- Brian

---

Nice - except I've not been able to make a surface.

Would you mind splitting this: "Selecting just the U iso curves, allows trim with a point at the origin." into a number of discrete steps?

My particular confusion is what to trim with what, and what to delete (or not).

Mike.

---

Hi Mike,
Network does not always work on such complete structures, but may work with portions.
(Having a lot more U and V curves may prevent Network from working.)

After creating the UV curves,
1. Place a point at the origin. This is not essential, but helps locating the origin.
2. Select only the curves passing through the origin.
These are the U curves, and could have been identified by previously running a separate U mode. (It is not essential to run a separate U mode.)
3. Run Trim command
4. Press "add trim points"
5. Select origin point as place to put the added trim point.
6. Press Done. (Do not press "remove curves" button.)
7. Press Done again. The two "lobes" are now separate.
8. Select both U and V curves for one entire lobe.
9. Press Network, which creates one lobe surface in half a second or so.
(Network does not work if both lobes UV lines are selected at the same time.)
10. The second lobe can also be Networked separately.

- Brian

---

Show messages:  1-15  16-35  36-55  56-75  76-91