Hi James,

I was referring to the July 2020 update of Max:
https://moi3d.com/forum/index.php?webtag=MOI&msg=7777.1718

- Brian

In the file "colors.js", from the "core " directory, line 38 has a property, 'io_highlight': false //, replace its value with true, node nodes will become colored.

That works. Thank you WN.
Default setting should be "true", IMHO.

Setting io_text_highlight to "true" as well seems nice.
Edit: From Max, 2018: Alt+Left click on Info button to change highlight of io_text.

MoI4 beta must be re-opened for settings to take effect.

- Brian

Hello Y'all,

Is there a Truchet node?
I can't find it.

MindSet

Mindset,

There is no Truchet node, but can be constructed quite easily
with an array of randomly oriented square tiles.
Try the .nod file attached.

Have a great weekend
James
https://www.instagram.com/nodeology/

Sorry what is the meaning of "truchet" ?
That is from Sébastien Truchet ? https://en.wikipedia.org/wiki/Sébastien_Truchet
a random geometric tilling process ? So your nod ?

Interesting read that Frenchy, he goes from fonts to tiles...genius.

https://en.m.wikipedia.org/wiki/Truchet_tiles

OK! You have also this cool one! ;)
Kite & Dart by Roger Penrose (Periodic, Aperiodic etc...)

You might like this or get some node ideas maybe...leads onto "3d tiling".

https://www.cosmic-core.org/free/article-63-number-the-hexad-part-3-tessellations-tilings/

Look this post and aespecialy Muqarnas ;)
https://moi3d.com/forum/index.php?webtag=MOI&msg=7777.1463

Made a helicoid node.
The v curves made with the stock Curve factory to not pass through the helical points.
The convertPts2 node uses MoI's Interpcurve factory so the curves pass through the points.
Max's Curve node has other versions of Interp., but the u and v points are not separated for inputs...

If network does not create the surface, or takes too long, a radial curve may be swept along the inner and outer helical curves.

- Brian

Javascript cosh(x) and sinh(x) are not part of ecmascript5.

The generalized formula for the monkey saddle surfaces is given here:

https://www.researchgate.net/publication/256808897_Monkey_Starfish_and_Octopus_Saddles

The binomial coefficients (N K) (vertical), for each order N saddle, are given in a row in pascal's triangle, using alternate entries.
For example, the Monkey saddle, with 3 dips, has coefficients 1 and 3.
The Octopus saddle, with 8 arm dips, has coefficients 1, 28, 70, 28, and 1.
Or the binomial coefficients can be easily calculated with factorials.
The formula for each order N, uses the Even values of K = 0, 2, ... (N for even N, N-1 for odd N).
The formula is the sum from K=0 to K=N of the binomial coefficient (N K) * x to the power(N-K) * y to the power(K),
* even powers of i, for a +/- factor.
Note that the .nod files use ConvertPts2 node, which can be downloaded elsewhere on the forum.

Network can be done on the curves, and the surfaces may be trimmed at a +/- z value.

The smelt petal is a trimmed Monkey saddle, with the Monkey saddle z-axis passing through the origin, and (1,1,1)

The z = f(u,v) in MathPoints may be easily done for 4, 6, and 7 arm_leg_tail dip surfaces.

- Brian

Hi Brian,

Great work! Converting formulas to programs is very challenging.

Wayne

Is there some way to add functions to MathPts node?
For example, perlinnoisefn.js, delaunator.js, and basicFunctions.js have functions used by other programs.

A very simple example would be say ellipticfn.js containing several functions, including
this.cosh = function(a,x)
{
var y = (a/2) * ( Math.exp(x/a) + Math.exp(-x/a));
return y;
}

Is there some way to get MathPts f(u,v) to be able to use cosh(a,u) with say elliptic.cosh(a,u)?

(Of course the catenary equation (a/2)* )exp(u/a) + exp(-u/a)) can be used in MathPts directly, but some other
desired functions are very much more complicated, with dozens of lines of code.)

- Brian

Trying to debug a node program.
Is there some way to add an alert message to a node program?

Example:

function alert( msg )
{
moi.ui.commandUI.alert( msg );
}

alert( 'a = \t' + a + '\n\n' + ' b = \t' + b );


- Brian

Hi Brian, try moi.ui.alert( 'msg' );

- Michael

Thank you Michael.
Now the alert works. Each pass through the for loop creates a new alert.
The script probably has minor errors.

- Brian

Idea:
Include code around and/or in the for loop to show multiple progressive results for each variable.
In a row/column format. One row per variable. Each column is another pass through the for loop.
Say batch 10 alerts into one...
(My other projects have higher priority:-)

https://stackoverflow.com/questions/25320250/convert-multiple-alerts-to-one-alert

My latest script is creating junk points, so did some web exploring.

A math.js library of many additional functions, from 2017 to present.
(complex numbers, hyperbolic, elliptic, Weierstrass, etc.)

May be usable for MoI scripts and Nodes?
Still would need a "link" for MathPts node, somehow?

https://github.com/paulmasson/math

Barely began to explore the library.

- Brian

Update to CMC6 node, creates Nodoids and Unduloids, in particular their profile curves.

Rebuild, Mirror, Array, and Revolve left to the user.

Place CMC6.js and the helper functions ellipsefn.js file in the nodeeditor>nodes>extension directory.
CMC6_test.nod produces symmetric half of the nodary curve.

The CMC6 node script creates profile curves in the xy plane, including of most interest, the nodary curve and the undulary curve, depending upon the values of mu and lambda.

The Delaunay Constant Mean Curvature (CMC) surfaces consist of the cylinder, sphere, catenoid, unduloid, and nodoid. The surfaces may be produced by revolving their respective profile curves about a revolve axis equal to the rolling (roulette) line, which was used to generate the profiles. The profile curves are the roulettes of line, circle, parabola, ellipse, or hyperbola, along said roulette line.

The roulette axis for the nodary curve passes through the upper vertex of the hyperbola, which the script has not yet found.

There are additional notes in the comments in the script js file.

This node script uses ellipticfn.js for F(phi,k) and E(phi,k) the incompletic elliptic integrals of the first and second kind. It is assumed that "k" in the paper is the same as"k" in the elliptic functions, rather that using "k*k" in the functions.

- Brian

(Strangely, the y values must be divided by 2 to get the proper sphere and cylinder profiles.)

[See post 1777 for updated CMC files.]

The paper also describes using two radii as inputs for mu and lambda, so more work may be done.
Connection to the semi-major and semi-minor axes of ellipse and hyperbola is also a question.
There are several papers using nodulary curves for membrane fusion, squashed bubbles, etc., but their equations did not seem to work...

- Brian