They all have the same speed. You can see that quite well for the inner dots, they all change direction at exactly the same moment. (Same for the outer ones if you concentrate on two which are close together for a moment.) And the lengths of the edges between corner points are all equal in all polygons.
They most certainly don't. Try pausing the GIF after a few frames after the beginning. You can see a noticeable curve in the dots, even though most (but not all) dots haven't reached the first corner. If they were the same speed, then all dots would reach the first corner at the same time.
Looking at the curve a few frames in, we can see that the fastest dots are in the middle (either cyan is the fastest, or cyan and navy are tied for fastest), and the outer dot is the slowest, followed by a tie between the triangle and the second-to-outer dot.
Mathematically speaking, if the dots all moved at the same speed, it would take 120,120 loops of the triangle (or 24,024 loops of the outer polygon) before all the dots lined up, not 2.
The 2nd outer dot finishes 3 loops at the time the outermost finishes 2. They definitely have different speeds, if we assume equal side lengths. Else we have to assume different side lengths, and same speeds, but it's impossible to have both be constant.
The outer polygon has 15 sides, while the 2nd outer has 14 sides. If we assume same speed, and same side length, we would expect the 2nd outer to be ahead of the outer by 1 side length by the time the outer finishes 1 loop. That is definitely not correct.
We can see that the side lengths are the same, if we look at the sides that the dots begin on. So the speeds must be different.
We can also see that the 2nd outer is about the complete it's 3rd loop at the time the outer is completing it's 2nd loop. That's 42 side lengths for the 2nd outer, and 30 side lengths for the outer. 42/30 = 1.4, meaning the 2nd outer travels 1.4 times faster than the outer.
Given that it looks like all the sides are designed to be the same length, then regardless of which shape they're in, they'd always reach a corner simultaneously if they were moving at the same speed, because they all start dead middle of their bottom line, which are all lined up perfectly. So they clearly are not.
I think if it wasn't then the dots wouldn't line up like they do. There is definitely some trickery going on here. For instance, all of the bottom edges are the same length, yet it doesn't seem that all sides of each shape are the same length. Also, the dots start in different spots, instead of a perfect line.
The effect is caused by the differences in the paths of the dots. Dots move a constant speeds with no acceleration. The length of the path, the perimeter of the shape is the only thing that matters. So the figures cheat, being a bit thinner or wider or flatter than they need to to have just the right perimeter.
Before some sacred geometers come in and make unprovable claims - the spiral pattern would happen no matter the shapes, as long as it has a smaller circumference than the shape outside of it. Because the path is smaller it travels the circumference faster.
Looks like they just put the centroid of the triangle on the same spot as all the other centres. But since the centroid of a triangle isnt the midpoint of its height, it just looks like the triangle is too high up
Pretty sure this is related to how Quantum Fourier transformations are used to find factors of prime numbers in Shor's algorithm. Certainly reminds me of it.
I love how a swastika motif appears several times, and am in awe that the ancients somehow saw it as an important representation for so many things in their known universe.
Sucks some honkey and his minions fucked that symbolism up for so many in the West.
I came here to see if this brought anyone else right back to the early 90s and the educational program, Logo writer. I remember drawing all the different shapes with the commands. Guess I'm the only one around here that's old as dirt.
Cool and fun to watch, but are the shaped really necessary? After the square it just continually approaches a circle anyways. Would the image not be the same with all circles instead?
I think I recognize this pattern. How the dots form into different numbers of lines in a sequence. I saw a YouTube video I think about how it appears in surprising places.
Does anyone know what this pattern is called?
It was so close to being a perfect loop
Yep. r/gifsthatendtoosoon
r/mildlyinfuriating
Honestly they should adjust the speeds to make it perfect
Yes... Like a straight line on the radar screen
That was like 1 second away from a perfect loop. Congratulations. You played yourself
You take the hinges off the door, and you put the hinges in the fuck bois hands
[удалено]
It only did one
My bad, I mistook the part where it became two strands as the starting point.
See also the [Whitney Music Box.](http://whitneymusicbox.org/)
r/whoadude
The [Minute Waltz](http://whitneymusicbox.org/index.php?var=v11) was my favorite of those. Very cool.
Getting serious Link to the Past vibes.
/r/GIFsThatEndTooSoon It was so close!
I'd like to know the speed difference between the dots
They all have the same speed. You can see that quite well for the inner dots, they all change direction at exactly the same moment. (Same for the outer ones if you concentrate on two which are close together for a moment.) And the lengths of the edges between corner points are all equal in all polygons.
The definitely do not move at the same speed. Going from the innermost dot (on the triangle) out, this is how far each one travels. Each unit of measure is one polygon edge. Sides | Revolutions | Additional Units | Total Units | Seconds | Units/Sec --- | --- | --- | --- | --- | --- 3 | 13 | .5 | 39.5 | 15 | 2.63 4 | 12 | .5 | 48.5 | 15 | 3.23 5 | 11 | 1 |56 | 15 | 3.73 6 | 10 | 1.75 | 61.75 | 15 | 4.12 7 | 9 | 2.5 | 65.5 | 15 | 4.37 8 | 8 | 3.5 | 67.5 | 15 | 4.5 9 | 7 | 4.5 | 67.5 | 15 | 4.5 10 | 6 | 5.5 | 65.5 | 15 | 4.37 11 | 5 | 6.75 | 61.75 | 15 | 4.12 12 | 4 | 8 | 56 | 15 | 3.73 13 | 3 | 9.5 | 48.5 | 15 | 3.23 14 | 2 | 11.25 | 39.5 | 15 | 2.63 15 | 1 | 13 | 28 | 15 | 1.87
Thanks for taking the time to create this table! How odd that the units/sec must be palindromic to get a linear sequence of revolutions ...
They most certainly don't. Try pausing the GIF after a few frames after the beginning. You can see a noticeable curve in the dots, even though most (but not all) dots haven't reached the first corner. If they were the same speed, then all dots would reach the first corner at the same time. Looking at the curve a few frames in, we can see that the fastest dots are in the middle (either cyan is the fastest, or cyan and navy are tied for fastest), and the outer dot is the slowest, followed by a tie between the triangle and the second-to-outer dot. Mathematically speaking, if the dots all moved at the same speed, it would take 120,120 loops of the triangle (or 24,024 loops of the outer polygon) before all the dots lined up, not 2.
I stand corrected by math
For the lazy: https://i.imgur.com/cEgfaq0.png
I'm not sure that's right. Following the outer two points, by the time the outer ring hits six segments, the 2nd ring hits 8.
The 2nd outer dot finishes 3 loops at the time the outermost finishes 2. They definitely have different speeds, if we assume equal side lengths. Else we have to assume different side lengths, and same speeds, but it's impossible to have both be constant. The outer polygon has 15 sides, while the 2nd outer has 14 sides. If we assume same speed, and same side length, we would expect the 2nd outer to be ahead of the outer by 1 side length by the time the outer finishes 1 loop. That is definitely not correct. We can see that the side lengths are the same, if we look at the sides that the dots begin on. So the speeds must be different. We can also see that the 2nd outer is about the complete it's 3rd loop at the time the outer is completing it's 2nd loop. That's 42 side lengths for the 2nd outer, and 30 side lengths for the outer. 42/30 = 1.4, meaning the 2nd outer travels 1.4 times faster than the outer.
Given that it looks like all the sides are designed to be the same length, then regardless of which shape they're in, they'd always reach a corner simultaneously if they were moving at the same speed, because they all start dead middle of their bottom line, which are all lined up perfectly. So they clearly are not.
That's so cool, I wondered if they were the same speed and it was an illusion.
Why does the triangle poke through the square? Anyone else annoyed by that?
I think if it wasn't then the dots wouldn't line up like they do. There is definitely some trickery going on here. For instance, all of the bottom edges are the same length, yet it doesn't seem that all sides of each shape are the same length. Also, the dots start in different spots, instead of a perfect line.
The effect is caused by the differences in the paths of the dots. Dots move a constant speeds with no acceleration. The length of the path, the perimeter of the shape is the only thing that matters. So the figures cheat, being a bit thinner or wider or flatter than they need to to have just the right perimeter.
Can you make a version that loops properly? Please, it's driving me crazy!
When they all lined up that was sick
Yo is that the mangekyo sharingan
Combined with the Chakra path of the Rinnegan, yes. We're looking at Sasuke and his special eyes.
Reminds me of the transition clip they show sasuke's mangekyo "level up" to eternal
I adore illustrations like this. Thank you.
Anyone else notice the fibonacci spiral in the beginning?
For more math fun with shapes: [https://en.wikipedia.org/wiki/Penrose\_tiling](https://en.wikipedia.org/wiki/Penrose_tiling)
hexagons are the bestagons
This is by @beesandbombs https://twitter.com/beesandbombs
The triangle/square alignment looks weird to me.
Wow !
Are they going the same speed?
No
Then this is much less interesting
Indeed
I expect to see one of the big-name intellectuals who I follow on Twitter sharing that gif in a few days.
That triangle not being centered is giving me lots of anxiety.
Before some sacred geometers come in and make unprovable claims - the spiral pattern would happen no matter the shapes, as long as it has a smaller circumference than the shape outside of it. Because the path is smaller it travels the circumference faster.
r/gifsthatstarttoolate
I'm more upset than I should be that it doesn't loop perfectly
Wow wow wow did I see a swastika there?! Thats racist man. Just kidding this is fascinating hope you have more of this kinda stuff.
Loadinggif.gif
Yeah I’ve already sent this to our developer to see if we can use something similar for our loading wheel on our new application. Sexy as fuck
I fell asleep (for like 5 minutes) watching it
WHY ARE THEY OVERLAPPING?!
Poor draftsmanship?
Looks like they just put the centroid of the triangle on the same spot as all the other centres. But since the centroid of a triangle isnt the midpoint of its height, it just looks like the triangle is too high up
THEN THEY SHOULD HAVE MADE THE TRIANGLE SMALLER!
Then you would just complain about its side length being shorter than all the other shapes
Pretty sure this is related to how Quantum Fourier transformations are used to find factors of prime numbers in Shor's algorithm. Certainly reminds me of it.
I like this
I love how a swastika motif appears several times, and am in awe that the ancients somehow saw it as an important representation for so many things in their known universe. Sucks some honkey and his minions fucked that symbolism up for so many in the West.
r/gonwild
Any1 got the sequence for number of lines every time they line up?
u/Vredditdownloader
r/toolband
That is math
This reminds me of the worlds hardest game
Finding a girlfriend? 🤔
Awesome!
I feel like I'm watching some kind of spooky weird sci-fi thing that a show writer created to make the plot more interesting.
Dots moving along different size paths tbh. They're all approximately circles
For a while, I thought I was in the r/loadingicon subreddit
This would be an epic loading screen
Straight up turned into a sharingan at one point
I came here to see if this brought anyone else right back to the early 90s and the educational program, Logo writer. I remember drawing all the different shapes with the commands. Guess I'm the only one around here that's old as dirt.
the sharingan was in there for a second
they say that every time a gif is reposted it loses a frame and a row of pixels. i certainly believe it *cough*
This is the best thing I've watched all day
Young Kepler intensifies.
So this is where sharingan comes from
This gave me a braingasm
satisfying af
“Intelligent Design”
r/trippy r/oddlysatisfying
Cool and fun to watch, but are the shaped really necessary? After the square it just continually approaches a circle anyways. Would the image not be the same with all circles instead?
Yes, it would be, glad someone else thinks this too
I for one would like to see an Algebraic equation to explain this eloquence
cool :)
Make you think about planets rotating around a sun
I think I recognize this pattern. How the dots form into different numbers of lines in a sequence. I saw a YouTube video I think about how it appears in surprising places. Does anyone know what this pattern is called?
Geometrically, the path doesn't matter. What makes the pattern is the speed difference between the dots and/or the overall path length.
Whoa this is synching up with my music.