What question did this study set out to answer?

The aim is to innovate 3D printing by replacing traditional layer-by-layer methods with a simultaneous phase field approach.

April 3, 2026Open Access

Applied ITT — CyberAxis II: Death of the Layer Stack

Key Points

The aim is to innovate 3D printing by replacing traditional layer-by-layer methods with a simultaneous phase field approach.
Introduced a 3D Allen-Cahn phase field to address 3D printing challenges.
Implemented FieldSlicer.jsx as a demo to showcase the approach.
Utilized field topology for support structure generation and overhang detection.
Eliminated the need for slicing and sequential layers in 3D printing.
Achieved simultaneous evolution across all three dimensions.
Demonstrated effective support generation through field topology.

Abstract

Applied ITT — CyberAxis II: Death of the Layer Stack Armstrong Knight (Sensei Intent Tensor) · intent-tensor-theory.com Every 3D printer since RepRap (2005) uses STL mesh → planar slicing → sequential G-code. This reduces a 3D continuous geometric problem to a sequence of 2D discrete problems evaluated one layer at a time. We replace the entire pipeline with a 3D Allen-Cahn phase field φ: ℝ³ → 0,1. The Allen-Cahn PDE evolves simultaneously across all three dimensions — no slicing, no sequential layers. Overhangs detected via field gradient. Supports emerge from field topology. Implementation: FieldSlicer.jsx — full working React demo available at the GitLab repository. Part of the Applied ITT — Executable Physics series. See also WP-05 (Variational Programming). Repository: https://gitlab.com/intent-tensor-theory.com-group/git-0-0-applied-intent-tensor-theoryWebsite: https://intent-tensor-theory.com

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