PPolySim OS
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Bifurcation Diagram for a Bezier curve

Simulate a Bezier curve live in your browser. This runs the real Bifurcation Diagram solver — adjust the inputs, watch it respond instantly, and export the result. No install, no account.

Bifurcation DiagramLive

Controls

The logistic map xₙ₊₁ = r·xₙ(1−xₙ) doubles its period again and again as r grows, then dissolves into chaos near r ≈ 3.57 — with windows of order inside.

Presets

▶ Run in Python

Data Inspector

Mapr·x(1−x)
Chaos onsetr ≈ 3.57
Feigenbaum δ4.669

Governing equation

Reading this result: Past r ≈ 3.57 the branches blur into chaos, yet pale vertical windows remain where periodic order suddenly returns.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

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About this simulation

The full Bifurcation Diagram tool models a Bezier curve with the same numerics engineers and scientists use — running entirely client-side. Change any parameter and the result updates in real time, so you can build intuition, check a design, or teach the concept without spreadsheets or installs.

More you can do with Bifurcation Diagram

Other ways to simulate a Bezier curve

Frequently asked questions

How do I simulate a Bezier curve?
Open this page and use the live Bifurcation Diagram tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.
Is it free?
Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.
Can I use my own numbers?
Absolutely — every input is adjustable, and with data import you can drive a Bezier curve from your own measurements.