Study 36 · Strange Attractors

Dadras-Momeni System

Dadras-Momeni System art by Riccardo Zerbinati makes a mathematical trajectory visible as digital sculpture. The reference equations below describe the model associated with the study’s title. Grasshopper generates a sampled rail, a swept cross-section creates the surface, and the artist composes its material and lighting in 3ds Max.

Dadras-Momeni System, vertical metallic mathematical-art sculpture by Riccardo Zerbinati

The mathematical reference

The Dadras–Momeni system is the mathematical reference named for this study. The artwork does not present a scientific plot or claim to visualise a specified numerical solution; it is a separate image shaped by an interest in nonlinear mathematical forms.

Dadras-Momeni System equations

The linear z contribution and the three product couplings create feedback between every coordinate. Their numerical balance determines the path.

dxdt=y − ax + byz
dydt=cy − xz + z
dzdt=dxy − hz

Here, t is time and the variables are coordinates in the system’s state space. Letters such as a, b and c denote fixed coefficients. These are reference equations for the named model or family, not a recovered record of the parameters, initial conditions or integration settings used in this particular image. Chaotic behaviour depends on those choices.

Formula reference: View the documented system and source.

From a trajectory to Dadras-Momeni System art

Riccardo develops the rail in Grasshopper for Rhinoceros using Chimpanzee. The system evolves over time, producing successive three-dimensional points. Connecting those samples creates a path. A cross-section is then swept along that rail, giving the line thickness and a surface. This is how a time-dependent mathematical trajectory becomes visible as sculptural geometry.

The sweep adds a visual layer to the mathematics: its width and orientation affect how the form catches light. Riccardo then uses 3ds Max to develop the material, camera and illumination. The finished work is a digital render of this geometry, rather than a photograph of a fabricated object. No generative AI is used to create the artwork.

To read the image, follow a single edge as it moves through light and shadow. Notice where the projected path overlaps, opens or disappears behind another surface. The rail comes from a rule evolving through time; the artist’s composition lets us experience that motion as a still image. The aim is to reveal the hidden beauty of chaos theory.

A study in form

The rendering invites the viewer to encounter the work as a digital sculpture. Its upright format gives the image a focused presence, and the metallic treatment adds a material suggestion to an object built through mathematical modelling. The title offers a technical point of entry; the visual reading remains personal and open.

Modelled in Rhinoceros and rendered in 3ds Max by Riccardo Zerbinati, this is one of 40 vertical digital works in the Strange Attractors collection. The creative process is human-led and uses no generative AI.

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