Re: [Vo]:Moving Moire beats

[H LV]

Thank you.

The design of experiments and inventions are guided by theories and
paradigms. I do not know enough about the technique or the theory behind
laser cooling to relate them to my visualization. Obviously the theory
works but that doesn't mean the paradigmatic concepts which gave rise to
the theory can`t be questioned and alternatives considered.

Categorizing backward turning wagon wheels in a movie as an optical effect
is an example of a paradigmatic filter (or cognitive bias) of how to
receive the phenomena of backward turning beats.

Then again perhaps the phenomena is extensively used by physicists, and
this exercise has just been about uncovering my own cognitive bias.


Harry

On Fri, Oct 23, 2020 at 10:14 AM Don86326  wrote:

> Harry, I see a great visual example! Thank you.
>
>
> But now my brain is interfering.
>
> What about light beams with a beat frequency that's a forward motion?  The
> 'pattern' would move superluminally forward in the interfering beams.
>
> So, if superluminal moire interference beats are an abstract relationship
> that travels superluminally, how are atoms cooled by capturing them in
> crossed laser beams of differing colors?
>
> Condensed matter is cooled as trapped-atoms in crossed lasers.  Does this
> mean the atoms are literally nesting in an interference pattern?  The
> abstraction seems physical now.
>
> Suppose for confusion one of the laser beams with trapped atoms is changed
> in frequency that causes a change of the location of the interference
> pattern nesting the atom.
>
> If the atom follows the pattern-nest, and the nest moves superluminally,
> what would the atom do?  Assume the acceleration is gradual enough that the
> atom remains coupled in the nest that accelerates past light speed.
>
> I don't know enough about physics to get confused the right way.
>
> Is this just a confused way to dance around another paradox?  Or, is the
> premise of the question screwed up?
>
>
> -don
>
>
>
> On 10/22/2020 10:09 PM, H LV wrote:
>
> Yes, I have noticed wagon wheels turning in the "wrong" direction in
> movies.  Since wheels do not really behave like this the phenomena of
> backward moving beats is usually classified as an optical artifact with no
> deep significance for physics. However, the black and white stripes of the
> moire beats is an abstract pattern so it is not encumbered with competing
> notions of what is real vs what is an illusion.
>
> Here I animated forward and backward moving beats using a combination of
> stationary and moving sine waves
> of different frequencies:
>
>
> https://drive.google.com/file/d/1euX-XvQPSTCTybGXifOe1YL8Frorb-ZQ/view?usp=sharing
>
> What do you see now?
>
> Harry
>
>
>
>
> On Thu, Oct 22, 2020 at 8:40 PM Terry Blanton  wrote:
>
>> You ever see a wheel turn backwards from the direction of the vehicle on
>> a movie?
>>
>> On Thu, Oct 22, 2020 at 1:23 PM H LV  wrote:
>>
>>> Don,
>>> There is a lot of material to digest.
>>>
>>> People who are well versed in the mathematical properties of waves
>>> probably don't find any of this astonishing, but until I watched the video
>>> of moving moire beats I didn't know beats could move backwards relative to
>>> the direction of the motion of the underlying waves.
>>> Using a geometry program called Geogebra to construct sine waves I
>>> confirmed that if a moving wave W* is superimposed on a stationary wave W
>>> the beat will move in the same direction as wave W* if the frequency of W*
>>> is greater than wave W, but  the beat will move in the opposite direction
>>> if the frequency of W* is less than W.
>>>
>>> Harry
>>>
>>> On Wed, Oct 21, 2020 at 3:04 PM Don86326  wrote:
>>>
 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

 
>

Re: [Vo]:Moving Moire beats

[Don86326]

Harry, I see a great visual example! Thank you.


But now my brain is interfering.

What about light beams with a beat frequency that's a forward motion?  
The 'pattern' would move superluminally forward in the interfering beams.


So, if superluminal moire interference beats are an abstract 
relationship that travels superluminally, how are atoms cooled by 
capturing them in crossed laser beams of differing colors?


Condensed matter is cooled as trapped-atoms in crossed lasers. Does this 
mean the atoms are literally nesting in an interference pattern?  The 
abstraction seems physical now.


Suppose for confusion one of the laser beams with trapped atoms is 
changed in frequency that causes a change of the location of the 
interference pattern nesting the atom.


If the atom follows the pattern-nest, and the nest moves superluminally, 
what would the atom do?  Assume the acceleration is gradual enough that 
the atom remains coupled in the nest that accelerates past light speed.


I don't know enough about physics to get confused the right way.

Is this just a confused way to dance around another paradox?  Or, is the 
premise of the question screwed up?



-don



On 10/22/2020 10:09 PM, H LV wrote:
Yes, I have noticed wagon wheels turning in the "wrong" direction in 
movies.  Since wheels do not really behave like this the phenomena of 
backward moving beats is usually classified as an optical artifact 
with no deep significance for physics. However, the black and white 
stripes of the moire beats is an abstract pattern so it is not 
encumbered with competing notions of what is real vs what is an illusion.


Here I animated forward and backward moving beats using a combination 
of stationary and moving sine waves

of different frequencies:

https://drive.google.com/file/d/1euX-XvQPSTCTybGXifOe1YL8Frorb-ZQ/view?usp=sharing

What do you see now?

Harry




On Thu, Oct 22, 2020 at 8:40 PM Terry Blanton > wrote:


You ever see a wheel turn backwards from the direction of the
vehicle on a movie?

On Thu, Oct 22, 2020 at 1:23 PM H LV mailto:hveeder...@gmail.com>> wrote:

Don,
There is a lot of material to digest.

People who are well versed in the mathematical properties of
waves probably don't find any of this astonishing, but until I
watched the video of moving moire beats I didn't know beats
could move backwards relative to the direction of the motion
of the underlying waves.
Using a geometry program called Geogebra to construct sine
waves I confirmed that if a moving wave W* is superimposed on
a stationary wave W the beat will move in the same direction
as wave W* if the frequency of W* is greater than wave W, but 
the beat will move in the opposite direction if the frequency
of W* is less than W.

Harry

On Wed, Oct 21, 2020 at 3:04 PM Don86326 mailto:don86...@gmail.com>> wrote:

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

Re: [Vo]:Moving Moire beats

[H LV]

Yes, I have noticed wagon wheels turning in the "wrong" direction in
movies.  Since wheels do not really behave like this the phenomena of
backward moving beats is usually classified as an optical artifact with no
deep significance for physics. However, the black and white stripes of the
moire beats is an abstract pattern so it is not encumbered with competing
notions of what is real vs what is an illusion.

Here I animated forward and backward moving beats using a combination of
stationary and moving sine waves
of different frequencies:

https://drive.google.com/file/d/1euX-XvQPSTCTybGXifOe1YL8Frorb-ZQ/view?usp=sharing

What do you see now?

Harry




On Thu, Oct 22, 2020 at 8:40 PM Terry Blanton  wrote:

> You ever see a wheel turn backwards from the direction of the vehicle on a
> movie?
>
> On Thu, Oct 22, 2020 at 1:23 PM H LV  wrote:
>
>> Don,
>> There is a lot of material to digest.
>>
>> People who are well versed in the mathematical properties of waves
>> probably don't find any of this astonishing, but until I watched the video
>> of moving moire beats I didn't know beats could move backwards relative to
>> the direction of the motion of the underlying waves.
>> Using a geometry program called Geogebra to construct sine waves I
>> confirmed that if a moving wave W* is superimposed on a stationary wave W
>> the beat will move in the same direction as wave W* if the frequency of W*
>> is greater than wave W, but  the beat will move in the opposite direction
>> if the frequency of W* is less than W.
>>
>> Harry
>>
>> On Wed, Oct 21, 2020 at 3:04 PM Don86326  wrote:
>>
>>> 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
>>> 

Re: [Vo]:Moving Moire beats

[Terry Blanton]

You ever see a wheel turn backwards from the direction of the vehicle on a
movie?

On Thu, Oct 22, 2020 at 1:23 PM H LV  wrote:

> Don,
> There is a lot of material to digest.
>
> People who are well versed in the mathematical properties of waves
> probably don't find any of this astonishing, but until I watched the video
> of moving moire beats I didn't know beats could move backwards relative to
> the direction of the motion of the underlying waves.
> Using a geometry program called Geogebra to construct sine waves I
> confirmed that if a moving wave W* is superimposed on a stationary wave W
> the beat will move in the same direction as wave W* if the frequency of W*
> is greater than wave W, but  the beat will move in the opposite direction
> if the frequency of W* is less than W.
>
> Harry
>
> On Wed, Oct 21, 2020 at 3:04 PM Don86326  wrote:
>
>> 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 1 sequence-images
>> when ran).
>> 3) Freeware rapid viewer of files in a folder for previewing 

Re: [Vo]:Moving Moire beats

[H LV]

Don,
There is a lot of material to digest.

People who are well versed in the mathematical properties of waves probably
don't find any of this astonishing, but until I watched the video of moving
moire beats I didn't know beats could move backwards relative to the
direction of the motion of the underlying waves.
Using a geometry program called Geogebra to construct sine waves I
confirmed that if a moving wave W* is superimposed on a stationary wave W
the beat will move in the same direction as wave W* if the frequency of W*
is greater than wave W, but  the beat will move in the opposite direction
if the frequency of W* is less than W.

Harry

On Wed, Oct 21, 2020 at 3:04 PM Don86326  wrote:

> 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 1 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 

Re: [Vo]:Moving Moire beats

[Don86326]

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 1 
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 

Re: [Vo]:Moving Moire beats

[H LV]

I 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.
>
>
>
And not only is the direction and frequency of the moving beats different,
but their speed also differs with respect to the stationary planes.

Harry