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 <hohlr...@gmail.com> 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 <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 <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 >>> >>> 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. >>> >>> 2.4x106 lines / 9.60x102 pixels = 2.4 lines / 9.60 pixels x 10(6-2) = >>> 0.25 x 104 = 2.5 x 103 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! >>> >>>
