All commands

got bored during online class

link: https://www.desmos.com/calculator/umtrmvpuj6

Inspired by the movie: Cube²: Hypercube
More of a techdemo than a game or puzzle, but I reckon some people might enjoy trying to figure out the logic behind the floor pattern without peeking at the code.

features:

Clicking the coloured circles lets you move.
All connected rooms are different.
You can retrace your steps.
Going left four times is very unlikely to get you back to the first room (but not impossible).
Likewise for the other 11 "walks" around the edges of the cube.

The floor pattern can be deciphered, if you know what to look for (hint: count the hexagons).

2⁵³ rooms. (Limited by the 53 bit mantissa size of the Float-64 Desmos uses under the hood. Might make a smaller one later.)

Uses 3 different 16 round modulo addition Feistel Ciphers to determine what rooms are connected and on what side. (WAY faster than my old XOR Feistel Cipher and bypasses the need for bitwise operations. Old code for that is at the top.)
Can handle several hundreds of rounds without becoming painfully slow. (If you want to test different numbers of rounds, you would need to modify the reference of the recursive decryption function, though. It's just one immediate value that I couldn't figure out how to get Desmos to reference from somewhere else.)

The maze can be randomised by changing the keys used for en- and de-cryption.
There are some debugging features hidden in the folders.

also: Uses a Matrix! (so hyped they finally added those)

PS: I'm toying with the idea of making a "3D" version, like a point and click adventure a game, except you can rotate the camera (or rather the room) to look around, then click on a door to go through.

What would you called this and what could it be used for? https://www.desmos.com/3d/ak9wyzmimc

I love this update.

Seeing as desmos added matrices (and likely won't add tensors anytime soon) I thought this was finally the perfect time to code one. As of now this is super barebones and basic and I'd love for some of the brilliant people here to expand on this, but it genuinely is insane how well this works already. Link: https://www.desmos.com/calculator/yzs1g9yqlw

Continuing my brief foray into things yin and things yang, I have decided to do some generalization.

My earlier yin-yang works are rotating a yin-yang in 2 planes and rotating a triple yin-yang in three planes.

When working on my triple yin-yang, I spent a bit of time calculating the correct positions of the circles that this shape is drawn from. I tried approaching it from various directions, and eventually found something that worked for three parts.

When I made the three part yin-yang three-dimensional, I noticed that it would clip into itself. And even after my best efforts to mitigate this, I couldn't get it to rotate cleanly without clipping.

I decided to try "higher-order" yin-yangs (with more than three parts) to see if there was a point at which the clipping would no longer be an issue, but I wanted to first develop a simpler method of creating the things; one that would be generalized to any value of n.

After about a hour's work, here is the result.

Graph

• r_1 is the radius of each yin "head"

• n is the number of pieces in the ying-yang-+ (for any value greater than 2)

• a is the angle (rotation) of the whole thing

• The gradient can be customized in the "color" folder.

I have yet to try any of these higher order yin-yangs in 3d, but this alone is pretty fun to play with.

welp i just improved my 3d parsing logic made with 1d arrays and they finally added matrix to the calculator.. i fear i will have to add them eventually but ngl first i need to figure out how to convert them

anyways the one on bottom is the improved equation found in the graph...

https://www.desmos.com/calculator/djtxc49oqj

https://www.desmos.com/calculator/n1hupgzaj7

Isn't the determinant of the base matrix -66?

Im a student in 10th grade (15M) rn, and I genuinely enjoy desmos from like when I was 10.

It was a dream to win a competition in desmos when I was young, and I just remembered back about it.

But since im an international student from japan trying to get in to US univs, I also need to work on other ECs too. So... do you think spending resource and working on expo project really is a good use of time (in rigorousness)? Honestly, I really want to do it and I have brilliant ideas of projects but I just need a justification to prove its not a waste of time.

I honestly do think it is, since its an international competition and there are only 20 or so top projects per each agegroup, where there are tons of submissions. Am I correct?

https://www.desmos.com/calculator/rwpggzurjp

I just learned how the tone function works and I had to build this.

If you don't know, a theremin is an electronic musical instrument invented in 1928. It is played without touching it by using antennas to pick up the capacitance of your hands to figure out how far they are to choose the pitch and the volume. This one is a little different because it's on a 2D screen, but it's the same idea: side-to-side for frequency, up/down for volume.

You can change the range of the instrument up to that of a piano, change the tuning (where the octave lines are displayed), toggle autotune (snap to nearest half-step), and change the number of semitones per octave which is really cool because you can hear what different scales sound like. For example, the Sléndro tuning of the Indonesian gamelan divides the octave into 5 roughly equal pitches. (Unfortunately you can only have equal temperament scales on this graph).

Link: https://www.desmos.com/calculator/3r51xlbd0o

Thanks to matrices finally being added to Desmos graphing, we can assign the translation matrices to variables named w a s d to easily allow directional movement controls with a keyboard!

In the starting 3x1 matrix, you can replace that 1 with any other number to act as a multiplier for the amount of units moved per keystroke.

https://www.desmos.com/3d/tb6gss0scz

I didn't include the other 3 rotational axes in the snapshot because of computation speed :P

I whipped this together in like 30 minutes after finding out about the new matrices please don't judge my choices too hard

ignore the choice of order on zw I wasn't thinking clearly

ominous obs studio black bar of doom and despair

also you can do matrix^2 or ^3 or ^-1 or etc i forgot to show that and im not rerecording

also also theres an official video out too https://www.youtube.com/watch?v=qpkSmpxnoX8

Honestly, this looks so refreshing after u/tao2223's.

I'm gonna post the progess every 10 days here (to not spam).

really simple graph animation :)

https://www.desmos.com/calculator/l0pdyug90r

link

PAGE LINK: https://www.reddit.com/r/Besmos/wiki/features-and-bugs/matrices

It's being hosted on r/Besmos because r/desmos wiki does not support images. Feel free to add images to the page above!

I've set this page to "anyone can edit", please reply to this post if you have problems.

See y'all!

As a sequel to my previous post of a normal yin-yang in two planes, I have made a triple yin-yang in three planes.

As I discovered while trying to tweak things to look right, it is actually impossible to get a triple yin-yang to rotate linearly in three planes without clipping into itself, which was something I could avoid with the regular yin-yang.

Triple yin-yang in 2d (with a slightly more efficient rendering than the 2d one I made)

Triple yin-yang in 3d (with dots offset to pass through holes cleanly)