PHYSICS VASE N°3 — Penrose Diagrams

Limited Edition Research Series (3/50)

Published by 3D Print Official

Inspired by:

Roger Penrose

—and the conformal geometry of spacetime

Abstract

Physics Vase N°3 translates the conformal structure of spacetime into additive manufactured form.

The external envelope approximates a Penrose causal diamond — a finite representation of infinite spacetime achieved through conformal compactification, as formalized by Roger Penrose.

The underlying radial profile follows a compactified diamond envelope:

representing the finite projection of an infinite manifold.

Superimposed bidirectional harmonics encode the 45-degree structure of relativistic light cones:

forming a causal interference mesh across the surface.

The resulting geometry embodies finite representation, causal boundaries, and conformal symmetry within a single parametric structure.

Physical Attributes Encoded

• Conformal compactification

• Causal light-cone structure

• Finite projection of infinite spacetime

• Relativistic boundary mapping

• Symmetric diamond topology

Penrose diagrams provide a method for visualizing global spacetime structure within the framework of general relativity developed by Albert Einstein.

By mapping infinity to finite coordinates, they reveal causal relationships otherwise hidden in unbounded geometry.

Research Continuation

This piece represents the third study within a 50-object exploration of physics-derived computational forms.

The theoretical foundation of Physics Vase N°4 will be derived from proposals submitted in the discussion.

Community engagement and scholarly participation inform the direction of subsequent editions.

Vote for the theory you’d like to see brought to life! Share your choice in the comments, and let’s unveil Vase 4 together!

Support for this project through comments, shares, and follows enables the continued development of the 50-piece Physics Vase Series.