The Better Desmos Graph That Tells You How Fast You Die (To Drawback)

hey

FUCKERS

wait, we’ve been here before, haven’t we?

oh well
SO! literally two days ago, I made a Desmos Graph That Tells You How Fast You Die (To Drawback)

The problem with this graph? Well, two days ago, I wasn’t all there, and while making the graph I forgot to include the lines that literally tell you the asymptote for regeneration relative to your drawback.
Don’t know what any of that means?

TOO FUCKING BAD!!

Anyways, I updated the graph (every time you save a desmos graph it regenerates the URL which is super annoying, and why I need to make a new topic. Sorry, mods.)

I’ll actually explain how the graph works below, but here’s the link to the graph. There are explanations for the functions and a brief summary of how to use Desmos

or you can just read the summary below.


The graph:


The explanation:

The y-axis will always represent the current HP.

There are a total of 6 lines and 2 adjustable variables.

Of the two variables:

h = Maximum HP (which is base HP + defence)
D = Drawback (your total Drawback)

You can adjust these by moving these sliders:
image

Of the 6 lines:

Light blue dotted line at the top: Visually shows maximum HP

Blue lines: Regen rate* out of combat
image

Green lines: Regen rate* in combat
image

*Lines that represent regen rate will start from 1 HP and increase

Blue dotted line: Regen rate (not in combat, no drawback)
Will always take 100 seconds to go from 1 hp to maximum HP
x-axis represents time in seconds

Green dotted line: Regen rate (in combat, no drawback)
Will always take 200 seconds to go from 1 hp to maximum HP
x-axis represents time in seconds

Yellow dotted line: The rate that you will lose HP to drawback, without regen
Will never touch 0, but will get very close.
x-axis represents the number of attacks
image

Blue solid line: The rate that you will regen, provided that you are attacking and not in combat.
Shows when your regen out-heals your drawback damage.
x-axis represents time in seconds. this line assumes that you attack once every second.

Green solid line: The rate that you will regen, provided that you are attacking and in combat.
Shows when your regen out-heals your drawback damage.
x-axis represents time in seconds. this line assumes that you attack once every second.


Mildly obscure Desmos tricks:

I’m insecure and worried that people are DUMB!!!

In Desmos, if you click on a line, it will show you the coordinates.
If you are visually overstimulated, you can visually disable lines by clicking on the circle next to the function:
image


Thank you, and happy minmaxing!

3 Likes

Math ;-;

chill, you barely need to do any math. this is best for people using gear builders such as Gear Builder who want to check if they’d be comfortable with their health stats. the only numbers you need to know is your drawback and maximum hp.

then, you just look at the lines and you’ll know when you out-heal drawback damage.

1 Like

I can’t draw :moyai:

1 Like

wtf do you mean you can’t draw cuh??? why would you be drawing???

1 Like

how are you already at 100 health in 1.5 seconds (1500ms) with 1 drawback
Screenshot 2023-12-11 12.49.08 PM

(control variable, quick mental math)
MaxHP = 1500
Drawback = 1
1500 * 0.01 = 15 / sec
100/15 = 6 seconds for 100 hp

(the actual test)

this calculation is… still roughly correct. i don’t know what went wrong on your end but after 6.67 seconds (without drawback, with drawback it’s about 7.145 seconds), you gain 100 hp

maybe you’re interpreting the y-axis as time passed and not as the current hp?
to reiterate:
y-axis is current hp
x-axis is time passed (for the linear lines), attacks performed (for the orange curve), and attacks performed assuming one attack occurs every 1 second (for the two curves going upwards)

1 Like

Ohh I thought x-axis was the amount of time in ms lol

you will either always out heal or never since both healing and drawback are percentage based

nope. healing is based on your maximum hp, not by percentage.

drawback is based on the percentage of your CURRENT hp

what this graph measures is WHEN you will out-heal drawback
and you will ALWAYS out-heal drawback, no matter what. drawback is a reciprocal function, meaning it will never touch zero, and it the numbers will get smaller slower over time.

a constant regen rate simply creates a new asymptote for the reciprocal function.

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