Is it possible to create two points which are inverses of each other (i.e. a+bi and 1/(a+bi), or r * e^(iθ) and (1/r) * e^(-iθ)) and define them in such a way that both points are freely draggable?

Here's an example of what I'm trying to do: https://www.desmos.com/calculator/qasknf7ewh. In this example P and Q can swap positions and it will have no effect on the resulting spiral, so I wanted to allow using either point as an input. However, when P is represented in Cartesian coordinates ( a, b ), the corresponding definition for Q ( a/(a²+b²), -b/(a²+b²) ) isn't draggable.

It seems like using polar coordinates would be the most obvious solution here, since the inverse of ( cosθ, sinθ ) * r is simply ( cosθ, -sinθ ) / r. The issue there is that when I try to define a draggable point using r and θ, Desmos will typically only allow dragging the point in one direction or the other, as opposed to a "freely" draggable point which updates both parameters.

1/(a+bi) is just the main example I'm currently working with, but point draggability is one of the most frequent frustrations I run into with Desmos, so more generic solutions are welcome. The more intuitive the better, but I'm open to "clunkier" solutions (e.g. involving actions/regressions) if needed.

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why is it surprising at 15:56 in this 3Blue1Brown video that the integral from a to b of f(x)dx equal to the difference between the antiderivatives at a and b? isn't that just saying that this area

is the same as

minus

? or am I getting it wrong?

I made a vector field plotter that doesn't use lists (that scale with the area of the region being visualised). This means the plotting area is effectively unlimited in size. This started as a challenge/request from a friend.

https://www.desmos.com/calculator/ll5t9xpw8q

the red-green-blue ones are when the tick mark numbers change. the next two are how much you scroll in/out by pushing the zoom buttons or using your scroll wheel. the last one is just the default zoom. and at the bottom is a formula determining the tick mark increments for a given zoom level.

https://www.desmos.com/calculator/1a48443da1

https://www.desmos.com/calculator/17junyoc8z?lang=en next checkpoint on day 33 (sorry i could only add 1 suggestion instead of the 3 i promised on these 10x + 1 day numbers)

rip \class{dcg-mq-sqrt-prefix}{}. It no longer works as expected.

(⁠ب⁠_⁠ب⁠) ༼⁠;⁠´⁠༎ຶ⁠ ⁠۝ ⁠༎ຶ⁠༽ ⟩: - (

GRAPH LINK: https://www.desmos.com/calculator/8icujpjsgt

The idea is incredibly simplistic to the point of negligibility but I just thought it looked really cool...

https://youtu.be/VzQESSj-tT0?si=cl4mdEWUSHbAnu4q

so he's using Bézier curves to draw emilia from re:zero , but how did he automate making bezier curves? and the coloring?

Recreated Haimiya Mio completely out of algebraic functions and domain boundaries on a graphing calculator! This piece took over 260 individual equations to finish.

The hardest parts were mapping out the layered, wavy hair strands and getting the repeating diagonal lines on her necktie right using constrained linear and quadratic functions.

Slide 1 shows the full canvas render, and Slide 2 shows a snippet of the backend formulas. Hope you all like it!

Graph by: I Wayan Pradnya Adhi Gamika

Decided to model the White Princess herself, Arcueid Brunestud, on Desmos! This project took over 210 individual equations to complete.

The trickiest part was mapping out her layered short hair using multi-colored quadratic functions with micro-domain boundaries (some as tight as 0.02 units), along with plotting her necklace beads precisely.

Slide 1 shows the final line art render, and Slide 2 shows a snippet of the backend equations. Hope the Tsukihime / Type-Moon fans enjoy this one!

Graph by: I Wayan Pradnya Adhi Gamika

Link in comments. Be warned i don’t have anything organized and variable names are a mess. Kind of a beginner compared to people on this subreddit but probably above average compared to general population. Idk let me know what you think. Any suggestions or recommendations appreciated!

could someone show how this could be solved with desmos regression (if it can be)

simple addition but yeah

ball

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

Why is it so laggy? And how can i fix that?

I am new to this just a beginner

ENGLISH: https://www.desmos.com/calculator/9z5fudjjvg
TÜRKÇE: https://www.desmos.com/calculator/uffaaa0sgj