Computational geometry & modelling
Investigate constrained patterns, symmetry, spherical and geodesic constructions, parametric 2D/3D forms and geometric feasibility. Explore consistent configurations before prototyping or fabrication.
How I can help
Mathematics, research & computation
Focused technical studies for creative design challenges and independent research questions, with clearly defined methods, assumptions and deliverables.
Scientific research & verification
Translate research hypotheses into precise, testable claims. Independently check mathematics, numerical patterns, statistical assumptions and alternative explanations; report both supported and unsupported findings.
Scientific computing & research tools
Develop Python analyses, numerical experiments, simulations, reproducibility checks, documented code, custom geometric algorithms and interactive viewers for specialist questions.
Independent and interdisciplinary researchers are welcome, including those exploring sacred geometry, astronomy, historical geometric systems or unconventional ideas. A mathematical or empirical claim can be assessed where it is testable; a metaphysical interpretation is not automatically established by a geometric pattern. Results are reported independently, without promising confirmation of a preferred conclusion.
Selected independent research
Working mathematics, not just visual concepts
These independent research projects demonstrate techniques transferable to geometry, mathematical verification and scientific computing. Explore the live models yourself. They are not previous client commissions, engineering approvals or proof of a broader metaphysical interpretation.
Case study 01
Certified planar geometry
Independent reproduction and analysis of the Śrī Yantra constraint system, including precise geometric intersections, verified constraints and a research atlas of 128 distinct certified plane configurations. The display exports precomputed vector geometry.
Transferable skill: bringing mathematically complex patterns into a reproducible geometric specification.
Case study 02
Geometry across curved surfaces
Computational reconstruction of the Śrī Yantra on spherical caps using great-circle geometry, independent construction checks and a 3D atlas. The published research atlas records 968 certified roots of the specified constraint subsets; these are mathematical research results, not physical prototypes.
Transferable skill: precise geodesic and constrained designs for curved-surface visualisation.
Case study 03
Geodesic and Goldberg modelling
Python research implementations for parameterised icosahedral geodesic meshes, Goldberg polyhedra and subdivision of convex polyhedra. These supply a basis for investigating non-standard dome and sculptural configurations; build-ready fabrication details require a separate project-specific development and validation stage.
Transferable skill: programmatic vertices, faces, subdivision families and mathematical shape variations. Selected results can be shared without disclosing private research code.
Case study 04
E8 projections and 3D scientific viewers
Research software for high-dimensional lattice projections, rotation searches and interactive spatial visualisation, including a public 3D globe with compare modes and reproducibility checks. The scientific interpretation of planetary alignments is separate from these transferable computational tools.
Transferable skill: precise geometric networks and interactive, data-driven spatial tools.
A practical engagement
Small projects, clearly scoped
Start with one useful mathematical or scientific question, not an open-ended commission. Agree what can be tested, and what a valuable result would look like.
STEP 01
Define the questionIdentify the design concept or research claim, the relevant evidence and constraints, and the decisions the investigation should inform.
STEP 02
Commission a focused studyAgree a brief, deliverables and fee: for example, a geometric feasibility analysis, computational audit, mathematical reconstruction or custom prototype.
STEP 03
Receive reproducible resultsObtain documented methods, calculations, findings, assumptions and limitations—including negative or inconclusive results where applicable.
About
Research-led. Evidence-first.
I am an independent researcher with a background in fundamental physics and space science. My work combines mathematical reasoning, Python scientific computing, geometric reconstruction, numerical testing and interactive software.
I collaborate remotely with artists, designers, specialist fabricators, engineering teams and independent researchers whose ideas call for careful mathematical or scientific analysis.
An investigation assesses evidence rather than endorsing a predetermined interpretation. Some metaphysical claims are not empirically testable. Structural engineering approval, building compliance and safety certification remain the responsibility of appropriately qualified professionals.
“Preserve the idea. Make its mathematics precise enough to test, and its results clear enough to use.”
Project enquiries
A complex idea worth investigating?
Share a geometric design, research question or hypothesis, along with any sketches, calculations or source material and the outcome you need. I can suggest a narrowly scoped paid study if there is a good fit.