🔍 About this Simulation

This is a Basic Fractal Transformation Demonstration, designed to illustrate the core principle of Fractal Encryption Standard (FES) logic in a 2D visual context.

What you see here is a simplified simulation:

• Mouse/pixel resolution — actual FES has infinite resolution
• 2D navigation only — actual FES operates in n-dimensions
• Exaggerated navigation — paths for clarity and visual appeal
• No silos, dimensional pivots, multi-pass layering, stream scramble, or overwrite logic — all of which are present in the production-grade FES engine

Nonetheless, this demo reveals the essence of FES principles:

• A payload is transformed by a stream of values derived from live fractal navigation
• Each transformed byte is a payload byte XOR’d with a stream byte from the fractal
• No two journeys are the same — click one pixel away, and the stream diverges

The result: A beautiful, chaotic-yet-deterministic entropic signature — a fractal-born cipher that hints at the power within the full FES implementation.

For a full FES demonstration please see the FES Encryption page.

Engineering Infinity ∞

Portalz Fractal Technologies leverage infinities present in the remarkable Mandelbrot Fractal:

• Infinite Width: there is no limit to the width of the Mandelbrot Fractal plane
• Infinite Depth: there is no limit to the fractional depth of the Mandelbrot Fractal
• Infinite Complexity: the Mandelbrot Fractal has been mathematically proven to be infinitely complex

These are true mathematical ∞ infinities.

Mandelbrot Fractal

As you tap or move your mouse over the Mandelbrot Fractal area above you will see Fractal Portal information:

• X: the horizontal pointer or tap location in the Mandelbrot Fractal
• Y: the vertical pointer or tap location in the Mandelbrot Fractal
• Value: the fractal value returned at that X,Y location

If the location is within the inner area the value is Infinity, which is not used by our fractal technology.

Note the complexity and unpredictability of the value.

Multi-dimensional Mandelbrot Fractal

Portalz Fractal Transformation implements configurable Mandelbrot dimensions.

Note in the above example there are two dimensions, X and Y. Portalz Fractal Transformation allows you to configure an unlimited number of dimensions.

This has the following benefits:

• Configurable Complexity: each dimension increases complexity exponentially
• Configurable Key-Space: each dimension adds 112 bits to the key-space
• Configurable Security: configure according to security and key management requirements

Our Fractal Encryption Standard uses a default 8 dimensions with a 896 bit key-space.

However, it is important to note that this can be increased without limit! This has been tested up to 40,000 dimensions with a 57,344 bit keyspace.

Unprecedented Leverage of Infinities

Portalz Fractal Transformation achieves unique and unprecedented features and benefits due to it's deep integration of the Mandelbrot Fractal and multi-dimensional capabilities.

These manifest as exceptionally high quality Fractal Streams that are used to transform the payload:

• Infinite number of possible transforms: mathematically infinite number of unique streams
• Infinite complexity of transforms: streams leverage proven infinite Mandelbrot complexity
• Configurable complexity: configure complexity with number of dimensions

Fractal Stream Generation geometrically navigates the multi-dimensional Mandelbrot Fractal, using the unpredictable value from the previous location.

These factors, combined with key-isolation, make the ciphers generated by Portalz Fractal Transformation Impenetrable and Quantum Proof.

Please see our Impenetrable Encryption Page.