Tyler out here almost reinventing Fourier transformations

As long as the two speeds of the arms are rational, the resulting shape will always meet up with itself eventually. The arms can be whatever length you want. You could have as many arms as you wanted even

I wonder if, when checking your answer, the game actually looks at the shape, or if it's based entirely on where and when you make the initial point.

Fourier transforms allow you to use a series of rotating lines to draw any shape with infinite lines, or approximate any shape with finite lines. The equation is surprisingly compact for something so complicated.

The game breaking at the end was golden

God, what an incredible game. I'm going to keep a close eye on the creator, because between this and Tandis, he has a monopoly on the "most satisfying possible math puzzle game" genre.

I'm pretty sure the coloring process is based on a shader, meaning it applies effects to what's there instead of calculating what's going on and picking from a set number of colorings. That last instance was just the shader wigging out from an unexpected edge case.

2:42 don't worry I got you, I also love 2 sideways balloons tied together with a big balloon in the middle! totally know what it is :)

0:22 the editors really saved him this time

7:14 got me so good, well done editors!

At this point, your videos are a part of my daily routine. The 12 hour shift in when you release them is much better

7:45 it's based on the rotation of the middle and outter line, if they have same rotation it's gonna be more rounded, if it's opposite rotation it's sharp or loopy

Regarding the unicursal "stars" in the last half: Every star is made up of a repeating "sub-shape", and it looks like the speed of the dark blue "pen arm" on the end determines the number of sides or loops in the sub-shape while the speed of the white middle arm dictates how many times the sub-shape must repeat to complete the star.

I find it really cool that the numbers being used for the slide puzzles are the arabic indic numerals system :)

Wow!
The editing and choices made for this video are really well put together.

From 1 : Knowing your audience and what they like, it shows that you and your team have good knowledge of your content and how to make it.

To 2 : The fade away to just simplistic and relaxing shape making, the way that is is done and how you fade out of it all at the end really shows that you and your team are conscious of the effect of good story telling and how to do it.

Then 3 : The self awareness of Tyler to let the video breathe by itself and the editing taking advantage of that; it shows how much you have acquired knowledge of this job, it shows that you want to give a great story to your audience, it shows the beautiful art of story telling and finally it shows your growth.

Thank you Tyler for giving us these videos, they help.
And thanks to both: Noarsy and Ben Ranger for this experience.

This would have been really cool as a screensaver back in the day...

They make Spirograph kits so you can make your own spiral art if you want something like this for your wall

2:43 Ah, yes. A most classic shape. Sid from Ice Age.

"You're not here to see puzzles, you're here to see what funny shapes I could make." That is SO facts.

Also, if anyone out there knows a sandbox/simulator for this type of thing, please share it with the class.

Such a cozy video to watch and relax to in the morning. Thank you Tyler and editors.   P.S. the music is perfect props to whose decision it was to use it.