On 10/19/2020 12:10 PM, H LV wrote:
https://youtu.be/6I0SF0dXoZg
In addition to the generation of moire beats with different
frequencies this video also seems to show that whether the moire beats
move in the same or opposite direction as the revealing plane will
depend on the spacing of the lines in the base plane.
Harry
Yes, a ratio between patterns select the direction that the interference
patterns go relative to base grid-pattern movement. Moire pattern
acceleration.
That's a really great video you supplied showing pattern acceleration,
Harry, in your message above.
Vernier-caliper scales work on the same principle of ratios between two
scales. The slide rules from back in the day produce an interference
between two graduated scales as an arithmetic solution --a bit akin.
Have you heard of the moire pattern magnetic gears as
torque/speed/direction converters? They use the same principle of
interference pattern acceleration/deceleration --but with magnets...
*Magnomatics Magnetic Gear:* https://www.youtube.com/watch?v=Ed4aitAXDsg
*Magnetic Gear:* https://www.youtube.com/watch?v=_qpHMZ9L4P8
Remember how strong magnets brought the the screen of the old CRT
computer monitors or TVs would show interference patterns in color
around the magnet? There are two grid-masks in the old picture-tubes
that the electron beams go through. A proximal magnetic field perturbs
the electron beam travel -as if-- the electrons see two differently
sized grids. The virtual (magnetically) shrunken scale-difference of
electron masking screens on a gradient toward the magnet produced
bipolar symmetry interference patterns on the CRT screen in the three
primary fluorescence colors of the screen phosphors. Colorfully
demonstrated here...
*Beauty of Magnetism (Magnets and CRT Screen):
*https://www.youtube.com/watch?v=6t16HTP4Ri8
With the hyper-fine Newton's rings moire interference, the interfering
patterns are 1) the curves of the rings, and 2) the
sampling-rectilineation of the image bitmap. 1) plus 2) --affords-->
pixelated interference from a raytracer. The pattern
acceleration/deceleration in the newton's rings moire interference
patterns is then always on a radial shift --since the rings are round.
Stupid numbers of rings can be modeled in memory with POVRay, and the
colors are made in algorithms.
Therefore, the moire pattern acceleration in hyper-fine Newton's rings
pixelations is a /lens apparent. //
/
/
/
Here is a dramatic lensing-event in a pixelated, hyper-fine Newton's
rings moire interference pattern:
Hyperfine Newton's ring pixealation-fractal with a lens-event
showing a magnified dot as a Newton's ring (fractal recurrence at
four orders of over-sampling stripes for a pixel):
https://groupkos.com/dev/images/Newton%27s_rings_fractal_1000x1000_05054.png
Copyright d...@groupkos.com 2020, released under MIT
take-it-and-run-with-attribution-to-me license
This image is created in computer memory as about two million rings
on a parallel projection of a striped-sphere memory-model, sampled
at 1000 x 1000 pixels --I think. The scale is on the image. The
scale unit is the sphere diameter. (See below for more numbers on
oversampling.)
https://groupkos.com/dev/index.php?title=Category:Moire <--
Hyperfine Newton's rings --the movie, coming in the month of
Roundtoit <-- lurk here and/or VO for stuff pending
*DIY hyper-fine Newton's rings fractal movies for free (plus elbow greese):*
1) Free, open-source /POVRay /raytracer download:
https://www.povray.org/download/ (a classic)
2) Copy the HNR POVRay source code from:
https://groupkos.com/dev/index.php?title=Hyperfine_Newton%27s_Rings_Fractal_Moire_Pattern_Generator
2b) Copy/paste the automation-parameters found in the source code
comments into the command box of POVRay (This invokes 19999
sequence-images when ran).
3) Freeware rapid viewer of files in a folder for previewing POVRay
image sequences: https://www.irfanview.com/
4) A free image utility for mass file-type conversion and renaming:
/Tinuous/: http://www.vieas.com/en/soft.html <-- search this page list
for 'Tinuous'
5) A free fossilized app form way back for creating a big GIF animations
from still images: /Microsoft GIF Animator:
/https://archive.org/details/MicrosoftGifAnimator/(supports drag-n-drop
from many images in a folder)/
6) Need help? A Skype screen-share tutor-session sounds like pandemic
relief. Reply off-list.
7) I need help; depending on who you ask.
Cheers,
-donE
Colorado, 7888 feet up (lofty amateur science in rarified air --boiling
point = 196 F.)
Post script: *Rarified math*
-- Crunching oversampling numbers; a light snack --
*Givens:*
A black/white pattern scale of one is a sphere surface pattern of two
hemispheres, one black and one white.
A 1/2-scale of the black and white pattern makes a black and a white
layer in each hemisphere. Half-scale [pattern = two colors per hemisphere.
A 1/4-scale of the black and white pattern makes four colors stripes
per hemisphere, etc.
The hyper-fine Newton's rings fractals above are about a black/white
pattern-scale of 4.8 millionths of a sphere diameter, so we have 4.8
million color-pairs per hemisphere, half black, and half white. That is
2.4 million black rings per hemisphere.
*Now: *
The image is 1000 pixels square, and the sphere is about 960 pixels.
2.4x10^6 lines / 9.60x10^2 pixels = 2.4 lines / 9.60 pixels x
10^(6-2) = 0.25 x 10^4 = 2.5 x 10^3 lines per pixel average
*ballParky results:
*
This is three orders of magnitude oversampling, or 2500 lines scanned
algorithmically to color one image pixel black or white, on average
across the image.
*But wait:*
There's more. The scale-shrinkage time-line of movie fractal
lensed-epochs of fractal pattern complexity can be plunged down to
2X10^15 (minus one) scale. (POVRay's digital limit on scaling
transformations).
At the POVRay software limit, 11 orders of magnitude of oversampling
(using the ratios above) created sequence images near this limit of
fractal dust with no certain intelligible fractal pattern.
Yet, in this dusty time-line animation would yet appear lensing-events,
and a dusty ring would appear and expand through the fractal dust.
--
Stay hydrated!
