# Fourier Incremental

$f\left(t\right) =$ 0

Current DP/s :
 Value: 0 Cost : 10 DP Value: 0 Cost : 100 DP Value: 0 Cost : 1000 DP Value: 0 Cost : 10000 DP Value: 0 Cost : 1e5 DP Value: 0 Cost : 1e6 DP Value: 0 Cost : 1e7 DP Value: 0 Cost : 1e8 DP Value: 0 Cost : 1e9 DP Value: 0 Cost : 1e10 DP Value: 0 Cost : 10 NP Value: 0 Cost : 100 NP Value: 0 Cost : 1000 NP Value: 0 Cost : 10000 NP Value: 0 Cost : 1e5 NP Value: 0 Cost : 1e6 NP Value: 0 Cost : 1e7 NP Value: 0 Cost : 1e8 NP Value: 0 Cost : 1e9 NP Value: 0 Cost : 1e10 NP Value:

### Achievements

Achievements can unlock features and will multiply your DP production by 1.01.

Current multiplier : 1

Achievements are currently being worked on!

 Have 1 C1Unlock : C2 Have 1 C2Unlock : C3 Have 1 C3Unlock : C4 Have 1 C4Unlock : C5 Have 1 C5Unlock : C6 Have 1 C6Unlock : C7 Have 1 C7Unlock : C8 Have 1 C8Unlock : C9 Have 1 C9Unlock : C10 Have 1 C10Unlock : Negative Prestige Have 10 C1Unlock : +0.01 Achievement Multiplier Have 10 C2Unlock : +0.01 Achievement Multiplier Have 10 C3Unlock : +0.01 Achievement Multiplier Have 10 C4Unlock : +0.01 Achievement Multiplier Have 10 C5Unlock : +0.01 Achievement Multiplier Have 10 C6Unlock : +0.01 Achievement Multiplier Have 10 C7Unlock : +0.01 Achievement Multiplier Have 10 C8Unlock : +0.01 Achievement Multiplier Have 10 C9Unlock : +0.01 Achievement Multiplier Have 10 C10Unlock : Max All Button Have 25 C1Unlock : Phi 1 and -1 Have 25 C2Unlock : Phi 2 and -2 Have 25 C3Unlock : Phi 3 and -3 Have 25 C4Unlock : Phi 4 and -4 Have 25 C5Unlock : Phi 5 and -5 Have 25 C6Unlock : Phi 6 and -6 Have 25 C7Unlock : Phi 7 and -7 Have 25 C8Unlock : Phi 8 and -8 Have 25 C9Unlock : Phi 9 and -9 Have 25 C10Unlock : Phi 10 and -10 Have 100 C1Unlock : C1 and C-10 synergize Have 100 C2Unlock : C2 and C-9 synergize Have 100 C3Unlock : C3 and C-8 synergize Have 100 C4Unlock : C4 and C-7 synergize Have 100 C5Unlock : C5 and C-6 synergize Have 100 C6Unlock : C6 and C-5 synergize Have 100 C7Unlock : C7 and C-4 synergize Have 100 C8Unlock : C8 and C-3 synergize Have 100 C9Unlock : C9 and C-2 synergize Have 100 C10Unlock : C10 and C-1 synergize Have 1 C-1Unlock : C-2 Have 1 C-2Unlock : C-3 Have 1 C-3Unlock : C-4 Have 1 C-4Unlock : C-5 Have 1 C-5Unlock : C-6 Have 1 C-6Unlock : C-7 Have 1 C-7Unlock : C-8 Have 1 C-8Unlock : C-9 Have 1 C-9Unlock : C-10 Have 1 C-10Unlock : Lowering C0 One for all...Unlock : -9% C1 and C-1 cost scaling (applies retroactively) Lemniscate!Unlock : -18% C2 and C-2 cost scaling (applies retroactively) A slice of PiUnlock : -27% C3 and C-3 cost scaling (applies retroactively) LEETUnlock : -36% C4 and C-4 cost scaling (applies retroactively) BREADUnlock : -45% C5 and C-5 cost scaling (applies retroactively) Devil's numberUnlock : -54% C6 and C-6 cost scaling (applies retroactively) Lucky SevenUnlock : -63% C7 and C-7 cost scaling (applies retroactively) BAGUETTE!Unlock : -72% C8 and C-8 cost scaling (applies retroactively) Nine onlyUnlock : -81% C9 and C-9 cost scaling (applies retroactively) ... And all for oneUnlock : -90% C10 and C-10 cost scaling (applies retroactively) Stuck (Have 5 quality upgrades without any positive or negative Cn)Unlock : Help tab There is no point in doing that...(prestige without any quality upgrade)Unlock : Halves Quality requirement scaling (applies retroactively) Prestige DownUnlock : C-1 Ah yes, it really reduces it...Unlock : Skill Tree 6 feet underUnlock : Phi 0 Low Calculation Master (have e2520 DP)Makes Negative Point generation stronger Legally Compromised Mechanism (have e2520 NP)Makes Negative power generation stronger Secret get!F is for Fibonacci! Secret get!Fermat's little importation Secret get!\$#|T!

Show the construction vector in green (what each Cn does)
Enable Autosave
Disable that horrible sound (working on it, the button doesn't work yet)

This whole game is about the Fourier series (not the transform!) and this tab will explain to you what all this is about.

Fourier found that for any 2D shape that is continuous (you can draw it without having to lift the pen once) and have the starting point and the end point that are the same, there was a complex function that can draw it for t between 0 and 1 :

$f(t)=\sum_{n\in \mathbb{Z}}(C_n e^{nit\pi+i\phi_n})$ Where $(C_n)_{n\in\mathbb{Z}}$ is a list of positive reals (take it as a list of radius) and $(\phi_n)_{n\in\mathbb{Z}}$ is a list of angles in radians

Here is a link to the video from 3Blue1Brown to show you how powerful this tool is (and explain it better than i do)

The achievement Row 6 column 2 requires you to draw a "Lemniscate" (the infinity symbol), this can be done by having 1 of C2 and C-2 and 2 of C1 and C-1, then playing with angles.

6 feet under (last achievement) requires you to get 6 C0.

A slice of Pi is : 3.141592653... 1 digit is one Cn, from C1 to C10, you can have any negative Cn.

LEET = 1337

B = 2, R = 18, E = 5, A = 1, D = 4

Same logic for BAGUETTE

4 is the number of death and 666 is the one of the beast, you need all Cn from -6 to 6 to be equal to 6 (except 0) to unleash the evil (and get an achievement)

Have 3 "7" equally distributed between C1 and C7 to get lucky (that means 7 in C1, C4 and C7) (and unlock an achievement)

Nine Only : try to get only 9 C9 and 9 C-9

"One for all..." requires you to have simultaneously 1 of each Cn (positive and negative, not counting C0)

"... and all for one" requires you to prestige with only C1, no other positive Cn

There is a factor that multiplies DP production : it represent the scaling of the drawing, it resets on prestige (any), the skills related to it makes it squared if you have 1, cubed if you have 2 etc

Positive Cns all multiplies your production by 1.5

There is a factor that added to 1, multiplies DP production. It grows with negative Cns

Each negative Cn (except for C-1) increase the Cn before it on a fictive way, that does count for the increase of the next one etc, then C-1 and fictive C-1 increase the negative product that multiplies DP production

"Synergize" means that they increase each other's strength, it's calculated by adding the base 10 logarithm of one's value and adding a portion of it to the power of the multiplier they already have (which is 1)

### Skill Tree

You currently have 1 nullifiers. (this is the number of C0 you have minus the number of skills you already bought)

Each skill costs 1 nullifier