#Kaleidoscope Reflection

[kaleidoscopevisualart]

📺🎵 Kaleidoscope meditation visual meditation music

[kaleidoscopeshortvideos]

📺 Pixel Kaleidoscope Art

[strawberryspiced]

In a realm where colors softly blend, A kaleidoscope of peace descends. Whispers of the wind, gentle and free, Weave patterns of pure tranquility.

Petals of dawn, hues of the sea, Dance together in perfect harmony. Stars like jewels in the velvet sky gleam, Casting light on our tranquil dream.

Leaves rustle with a soothing song, Time drifts peacefully along. In the stillness, our hearts find rest, Within the kaleidoscope of serenity, we’re blessed.

[pureheartsandrainbowwings]

:(

[shuckle24]

Kaleidoscope

Opalescent sky  Pregnant with a million moons  Of them, just one mine 

For you, the moon may be a peaceful chalice brimming with a tranquil joy. Or it may be a pale smile, its radiance a soft, soothing kiss. Maybe it is the harbinger of a sweet message; a postman delivering the longing gaze of a beloved staring wishfully in the same direction. Maybe it is nothing, just an insignificant apparition far away. Maybe it is everything, the entire universe condensed. Maybe it is evil; a hideous smear upon the charcoal sky. Maybe it is pure; an eternal sentry standing silent vigil. Maybe it is a symbol bearing a secret significance. Or is it simply factual? A mere hunk of rock falling in space. Or rather, is it all of them, at the same time? What is the moon, if not a million moons? Each the same in the night sky, but so different in each eye. Just another web, woven out of all our minds. What is the universe if not eight billion universes? Some encompassing light years, others only spanning a few, familiar blocks, and some just reaching up to that one unforgettable face; the same story written differently in each our lives. We gaze up to look at that one pearl embedded in the pitch black, but perceive it in so many contrasting colors. Isn’t it wonderful how our minds can interpret the same world in a billion unique ways? 

Myriad tales of  Unique minds; woven into  Endless string of time

[mudwerks]

Kaleidoscope pavilion at night, Montreal, Quebec / Vue de nuit du pavillon Kaléidoscope, Montréal (Québec)

May 1967

[2girls1j]

Violently happy

'Cause I love you

Violently happy

But you're not here

Violently happy

Come calm me down

Before I get into trouble

[whumpty-dumpty-doo]

Rooms to whump your guy in: carpeted and mirrored master suite

Images from here and here

[kaleidoscopevisualart]

📺 Kaleidoscope Meditation Visuals 4K, Kaleidoscope Calming Music, Kaleidoscope Background Video

Digital kaleidoscope art is a way to see the world in a new way. The patterns and shapes created by digital kaleidoscope art can be abstract and otherworldly, and they can help us to see the world in a new and different light. Digital kaleidoscope art can be a tool for meditation and introspection, and it can help us to connect with our inner creativity.

[kaleidoscopeshortvideos]

📺 Pixel Kaleidoscope Motion

[jaideepkhanduja]

Embarking on the Cosmic Carnival: A Philosophical Odyssey through Meaning and Existence

Embarking on the Cosmic Carnival: A Philosophical Odyssey through Meaning and Existence #CosmicCarnival #PhilosophicalJourney #ExistentialExploration #SpiritualReflections #QuantumMysteries #MeaningOfLife #CarnivalOfExistence #CosmicOdyssey #Philosophy

In the cosmic tapestry of existence, where the stars themselves are but dancers in the grand ballroom of the universe, we find ourselves at the threshold of a cosmic carnival—a carnival that transcends the boundaries of time and space, inviting us to partake in the revelry of meaning. As we step into this celestial extravaganza, envision a kaleidoscope of philosophies, a carousel of emotions, and…

[russmorris]

Roid Week Fall 2023, Day 6

Love and Circumstance - Carrie Rodriguez Photography by Sarah Wilson, Design by Ohioboy Art & Design Company

Some Girls - Rolling Stones Designed by Peter Corriston, Illustrations by Hubert Kretzschmar

Leica D-Lux 4 + toy kaleidoscope + iPhone 8 + Instax Square Link + Instax Square Instant Film

[s-kept-ical]

Katya by Charlie Troulan

[pureheartsandrainbowwings]

I’m still with Argent. I can’t exactly leave when he’s still in the middle of a crisis…

[isomorphismes]

What is a Weyl group?

Besides John Baez's  explanation   , I like the one in Coxeter's Regular Polytopes chapter 5. He calls the phenomenon we are describing The Dihedral Kaleidoscope. Take an image in the plane Joan Miró, Women & Birds at Sunrise and reflect it across any of the (half-open) semicircle's worth of options, of lines-thru-the-origin, that you could reflect it across. Call the action of doing this (however you chose the angle) A. Doing A twice is the same as leaving the figure alone, whatever A you chose. But what if you choose two different lines-thru-the-origin to reflect across? Let's call them A≠B. Now these two reflections will interact in some way.† In most cases, A and B will be pointed askew so that they "miss" each other meaning the infinite sequence ABABABAB... never terminates. But there is just one arrangement of two mirrors A & B that will "line up" in the sense that ABAB brings you back to the start. † (Mathematicians dub this interaction a "reflection group" because a   sequence of reflections forms a "generalised multiplication table",   meaning (1) the way I parenthesise sequential reflections doesn't   matter, and (2) reflections are reversible. [any reflection--however you  rotate the "mirror"--is its own opposite, so that's an easy property to  verify.] You can look up the other two "group axioms" on Wikipedia;  making those work is basically a technicality, unlike the deep facts that make special reflection angles special.) If you're doodling the answer or the group-structure to yourself on paper I recommend marking four corners of a square with a,b,c,d. Then use a different colour for each A and B arrow →. (That will make the group structure clear, I think.) Figuring out which mirror angles work is probably easier to think about than to try to draw. But I thought for this answer would look cooler if I pulled the group structure back onto a Miró; hope you like it this way. (And I'll leave it to you to doodle out B then A then B, as well as the other alternatives.) As you add more & more mirrors ABCDE, the angles they should be at to not miss each other follow a predictable pattern. Every mirror you add in this way adds one o to the o―o―o―o―…―o pattern (as drawn in Baez week230). This pattern is called [math]A_n[/math] (n being how many mirrors you put up). (So you can also doodle the reflections of a pentagon, hexagon, .... see What is a group in group-theory? and isomorphismes for more pictures.) What if I were to do something analogous, instead of with a plane figure, with a statue? ↑ The "Lion-Man". Artist unknown, but s/he lived circa 42,000 years ago (=21 Jesuses ago) in the Swabian alps. The figure is famous because it is the most ancient physical proof of human imagination: whoever carved this statue, envisaged something that does not exist in the physical world. (Hint, hint: Dynkin diagrams also do not exist in the physical world.) Well, all of the plane rotations would still group together in the same fashion. So we could still draw Dynkin diagrams like o―o―o―…―o but could also add in more types of reflections, like a "flip-upside-down in the vertical direction" move.    (Let's now rename the old planar reflections A₁, A₂, … to make room for new letters coming from the new dimension. How about calling the upside-down / vertical one U or V?) Besides adding the "upside-down man" reflection, there are other ways to add mirrors that stay in synch / not askew with all of the totality of other mirrors that are already present. There are also some higher-dimensional analogues as well.  (This is one of the harder things to think about in >3D. And also quite hard to think about in 3D, in my opinion. I wrote a blurb about how to visualise higher dimensions and the reflection-group / Buildings view is still on the to-do list. So normally I would say "many dimensions are easier than you think!" but not in this case. For example if you drew a bunch of sticks |||||| -- let's say twenty-seven (http://www.math.harvard.edu/~lurie/papers/thesis.pdf)   --- and marked the + and ‒ ends of each, what reflections would be easy to do by swapping the ± to ∓, and which could you not do that way?) The 120-cell, Schlaefli symbol 5,3,3, physical model by, I believe, P. S. Donchian. That was like a pre-summary of what Coxeter says. Here are a few screenshots from the google preview of Regular Polytopes which explain it better. (You can read the whole chapter on google preview.) Note that this is different to the reflections (which don't go thru the origin) in Thurston's Geometry and Topology of 3-Manifolds: ↑ isomorphismes has more views of this image and a link to GT3M (on msri website). † Maryam Mirzakhani and Alexander Eskin's recent work (   I believe is the relevant IAS link) discusses "billiard-ball dynamics" (they say this is a sort of familiar, but naïve, instantiation of what they do) with a frictionless billiard ball's path. (Strangely after a century of work this is still unsolved.) But again these are not the reflections-thru-the-origin of the so-called "reflection groups" (Coxeter's dihedral kaleidoscope).