Attached is the CMC8.js node file, and the CMC8_01.nod program, for creating symmetric half of an Undulary curve, and a Nodary curve.
Also attached is the NodoidUnduloidRadii08.3dm file which demonstrates that the formulas for the two Radii "R" and "r" correspond to the parameters "a", "b", and "c" for the parent roulette curves Ellipse for the Undulary curve, and Hyperbola for the Nodary curve, as described in the Word file Parameters for Undulary and Nodary curves.
In particular, an unwrap of half of the perimeter of the ellipse corresponds to 5 decimal places with the x_length of the undulary, which is equivalent to rolling the ellipse. The ellipse is drawn with MoI ellipse command.
Also an unwrap of half of the hyperbola, and Line/Line orient of the tangent at the "end" of the hyperbola segment, with attached Focus1 and Focus2, demonstrates that after "rolling" the hyperbola, that the new location of the two foci is (nearly) on the red nodary curve. (It is not perfect, but pretty close. There must be some calculation tolerances...). In addition, the y height of the vertical tangent to the nodary curve agreed within 6 decimal points of the calculated value of parameter "b". Once the parameters are calculated and points plotted, Michael's hyperbola script draws the hyperbola.
Also, moving the mu slider to zero will generate a quarter circle, (mirror and revolves Sphere), and setting mu equal to 1/(4*lambda) generates
a line, (revolves to a cylinder). Both with the proper radius R. (But there are better ways to make spheres and cylinders.)
(Roulette of parabola to a catenary, (revolve to a catenoid), uses other equations.)
This finishes up the CMC project, except for finding a formula for the widths of the nodary curve segments.
- Brian
ps The new Dimension commands were great for labeling the .3dm drawing. Someone should do a video. I've almost stopped hitting enter after adding
text. The detailed view is helpful for screen align, and altering distance for text. It might be nice to be able to have both distance and text in the horizontal and vertical dims.
Hi Brian, I'm glad the dims are useful! You can have both the distance and additional text show in a dimension by going to the "Details..." object properties dialog and under Annotation properties > Text put in the text you want and also include a <> (less-than and greater-than characters with no space between them). The <> will be substituted with the numeric value.
So for example if you set the dimension's text value to be "Distance = <>", it will display like this:
A quick Tip.
For a screen capture of a Dark theme screen, the Color (in particular black & white), can be reversed, for easier printing, with the Snagit screen capture editor.
In the editor, click on image> effects> filter> invertcolors.
>I have seen this incredible thing by nkallen ! I believe that is in WIp but...very promising! (Pilou)
Elephant knot editor to automatically create knots when modeling. It would be really very useful for modeling, learning to master MoI, the node editor, etc.
This video walks you through how to install it on Windows. I'm encouraging people for now to use git rather than downloading zip files etc. I'll make another video for Mac users tomorrow.
Thank you nkallen.
On Windows 10, got git installed, and did the first two steps done, the git clone... and git checkout...
Hung up on git commands.patch.
Very slow internet here. Cannot watch video until tonight.
Will try again tonight with fast internet, and watching video.
- Brian
My file explorer directory structure was temporarily messed up, I guess from git am --directory commands...
>>>After a reboot, the directory structure is back to normal. I'll have to follow the video directions for Windows 10.
By following nkallen's video I was able to install the node graph. The program seems to work.
Also I had to put in my email address, and my username.
Unfortunately I did not understand about trial/, so do not have a backup of MoI, just the altered "master". Edit incorrect statement.
I guess I'll have to reinstall MoI4...
- Brian
MoI4 successfully reinstalled.
Edit, so trial\ refers to MoI 4.0 beta, not to the git "backup".
CMC8.zip