Conceptual Constants Resonance Map

This map lets e be probed and π become a bounded envelope through πᵤ and πₗ.

y = x·sin(x^(1/eₚ)) / ( x^(1/πᵤ)·sin(x^(1/πₗ)) + ε )

x max

vertical axis

color mode

eₚ min / fixed

eₚ max

π precision min d

π precision max d

ε min / fixed

ε max

slice value

clip

Warm ridges show amplification, cool bands show opposition, and white contours show denominator sensitivity. Delta mode reveals the fingerprint of your conceptual constants relative to exact e and exact π.

πᵤ and πₗ are computed from the active decimal precision d using ceiling and floor around π.

min –

max –

mean –

sensitive –

π band –

negative

positive

Horizontal axis: x. Vertical axis: chosen variable. White contours indicate denominator sensitivity.

Slice plot across x for the selected vertical-axis value.