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 2X1015 > (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! > >
