Brock's Digit Swap Algebra Explorer

Brock's Digit Swap Algebra Explorer

Define sequences of digit swaps and operations, then visualize their impact on various formulas.

Base (B)

Graph Range (±)

1000

Findings

1001

Fixed Points

0.00

Mean Change %

1

Zero Points

Steps (f_s)

f_s1 0123456789

0
1
2
3
4
5
6
7
8
9
0
+14
+14
+14
+14
+8
+6
+6
+6
+6
1
-1
2
3
4
5
6
7
8
9
0
1
2
3
4
5
6
7
8
9

f_s() Notation

Cycles and orbits of current mapping

Grid Mode:

Formula for Heatmap:

Formula:

f_s(z)

∆

🎨:

x

x²

x³

sin(x)

cos(x)

tan(x)

x·sin(x)

eˣ

log(|x|)

Jagged

Triangle

x mod(B-1)

floor(x)

√|x|

x⁴

x⁵

∛x

|x|¹.⁵

1/x

1/x²

Quartic Well

Polynomial Wiggle

sin(x²)

sin(√|x|)

Damped Sine

Square Wave

Chirp Signal

sine(1/x)

tan²(x)

Wave Packet

AM Wave

FM Wave

Bouncing Ball

sec(x)

csc(x)

cot(x)

versine(x)

haversine(x)

asin(sin(x))

atan(x)

sinh(x)

cosh(x)

tanh(x)

asinh(x)

acosh(x)

atanh(sin(x))

gd(x)

e⁻ˣ² (Gaussian)

log(x²)

x·log|x|

e^sin(x)

log(cos(x))

xˣ

ceil(x)

round(x)

{x}

x mod 10

x & 64

x ^ (x/2)

Digit Sum

sinc(x)

Γ(x)

log|Γ(x)|

⌊x⌋!

W(x)

σ(x)

Heaviside Step

Ramp Function

Gaussian PDF

Logistic PDF

sinc²(x)

Soft Barrier

Repulsor Field

Chaotic Drift

Power-Up Charge

Resonance Cascade

Bifurcation

Potential Well

Harmonic Trap

Threshold Gate

Dignity Crest

Q-Expansion