Study 21 · Strange Attractors
Multi-scroll Chua 2
A multi-scroll Chua study in digital form, drawing on the visual vocabulary of nonlinear electronics and strange attractors.
The mathematical reference
The title identifies this work as the second multi-scroll Chua study in the collection. Chua’s circuit is a real nonlinear electronic system associated with chaotic behaviour; “multi-scroll” describes a family of attractor structures studied in this context. This image is an artistic rendering, not a circuit diagram or measured output.
Multi-scroll Chua 2 System equations
This is the generalized piecewise-linear Chua family. Slopes mᵢ and breakpoints cᵢ control the nonlinear characteristic; the studio’s number 2 identifies the study, not a unique universal equation.
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 Multi-scroll Chua 2 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 paired studies make room for comparison across a shared mathematical reference. Each is presented as a distinct sculpture rather than as a technical plate. The metallic rendering gives the form material suggestion, while the gallery setting keeps attention on its outline, balance and sense of motion. It can be read through its scientific name or simply encountered as a three-dimensional composition.
Modelled in Rhinoceros and rendered in 3ds Max by Riccardo Zerbinati, this is one of 40 vertical digital artworks created without generative AI.
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