Full Version: Nodebundle for playing with nodes

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Message 7777.1468 was deleted

From: speedy (AL2000)

24 Apr 2019 [#1469]

Hi everyone, and in particular Brian
Attached the file in which the Centroid tool
does not give the expected result ... maybe it will be
the case to consider well what this malfunction derives ...
Logically, when you have time, and if you want to do it
every tool we put at our disposal is a gift ...
"few words to the wise"

file at this link:
http://www.mediafire.com/file/oq4olj4yz9ame4y/FelixCandela.zip/file
have nice day to all
al

From: bemfarmer

24 Apr 2019 [#1470] In reply to [#1469]

Hi Speedy,

For the center 16 triangles, the centroid point is being found.

The remaining 32, 4 sided closed curves are not planar. This centroid node works for planar polygons.
(The Planar command does not work on the 32, 4 sided closed curves either.)

The center of mass of half of a solid sphere is at 3/8 of the distance from the sphere's center to the hemisphere's pole, as shown by Max's cVolume2.
For a hollow hemisphere, the distance is 1/2.
https://en.wikipedia.org/wiki/Centroid
The centroid node does not work for hemispheres either.

Wolfram gives a formula for center of mass for spherical caps.
Also Wolfram gives a formula for the centroid of a quadrilateral as the midpoint of the line between the midpoints of the diagonals.
Or "The centroid of the vertices of a quadrilateral occurs at the point of intersection of the bimedians."
http://mathworld.wolfram.com/GeometricCentroid.html
(Usually I find Wolfram math difficult to understand, and do not plan on doing integrals:-)
So the centroid for quadrilaterals, (4 line segments forming a closed quad), planar or non-planar, could be easily calculated.

The closed quads could be tested for planarity (somehow), and the calculation added to the centroid node. (I think.)

Is there a MoI method to test for planarity?

- Brian

From: James (JFH)

25 Apr 2019 [#1471]

Hi All,

Here's a texture of planar quad facets. It may not look like much, but it is a significant step towards structure that may be fabricated from cnc or laser-cut flat panels from board or sheet material. A multi panel image of node circuitry can be found at: https://www.instagram.com/nodeology/

James

NE folder can be found here:
http://moi3d.com/forum/index.php?webtag=MOI&msg=9358.1

nod file found here (Al made minor revision to my file & posted here):
http://www.mediafire.com/file/56jgl6gvgzg5a0m/Rev-DiaPlanarFaces.zip/file

Image Attachments:
PlanarQuads.jpg

From: James (JFH)

26 Apr 2019 [#1472]

Hi All,

Latest exploration.
A great weekend to all

James
https://www.instagram.com/nodeology/

NE folder can be found here:
http://moi3d.com/forum/index.php?webtag=MOI&msg=9358.1

Attachments:
DiaHex.nod

Image Attachments:
diaHexFlow.jpg

From: mkdm

27 Apr 2019 [#1473] In reply to [#1472]

Great things :)

Congrats!!

From: bemfarmer

27 Apr 2019 [#1474] In reply to [#1472]

A web search of "dupin cyclide conformal map" brings up interesting papers.
- B

From: James (JFH)

27 Apr 2019 [#1475]

Hi All,

Multiple random Point Attractors determine hexagonal Screen hole radii

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

Message 7777.1476 was deleted

From: speedy (AL2000)

30 Apr 2019 [#1477]

Hi all Friends
I was a few days holiday, just now ,
I see the latest news in the Forum _

Brian - Thanks for the clarifications regarding the Centroid tool

James - Congratulations on your latest work;
I found a small inaccuracy in determining the reference surface (Flow tool) in your file (DiaPlanarFaces)
at this link:
http://www.mediafire.com/file/56jgl6gvgzg5a0m/Rev-DiaPlanarFaces.zip/file
the file with the revision
Have a nice day everyone
al

From: speedy (AL2000)

2 May 2019 [#1478]

Hi Friends
a nice example, at least I think, of a hypothetical and singular
mechanical clock
file at this link :
http://www.mediafire.com/file/4vm71yg0ad0565d/Mechanical_Clock.zip/file
Have a nice day to all
al

From: speedy (AL2000)

3 May 2019 [#1479]

Hi Friends
a striking effect on surfaces.
the file at this link:
http://www.mediafire.com/file/5elcgg2sgios82d/Louvre_Box.zip/file
Happy weekend to all

al

From: bemfarmer

3 May 2019 [#1480] In reply to [#1479]

Nice Louver, Speedy.

Your Twist node comes up red ("missing" node).
Replacement with Twist node under Transform menu, in my nodeeditor setup, worked.

- Brian

From: speedy (AL2000)

4 May 2019 [#1481] In reply to [#1480]

Many thanks, Brian

From: James (JFH)

4 May 2019 [#1482] In reply to [#1479]

Hi Al,

Your louvred box was inspirational.
I have taken an alternative approach lofting profiles along axes, rotated (rather than twisted) in response to proximity to curve attractor.
It is shown here in an architectural context where it forms facade treatment to fully glazed curtain wall behind.

Keep up the good work
James
Additional images posted:
https://www.instagram.com/nodeology/