The Marshall Triangle: A Triadic Geometric Framework for Modeling Balance in Complex Systems
This record contains version v1.1.2 of The Marshall Triangle: A Triadic Geometric Framework for Modeling Balance in Complex Systems. The Marshall Triangle is a formal geometric framework for representing balance among three competing system priorities. It uses a midpoint-source triangular construction, a reference Harmony Index, and a Gaussian radial-field visualization model to support interpretation of triadic tradeoffs. Version v1.1.2 is a corrected manuscript release. It removes publisher-template residue from the prior PDF, updates the Data Availability Statement with the Zenodo archival DOI, improves mathematical wording around the Harmony Index and source-influence interpretation, updates the conflict-of-interest disclosure, replaces Figure 1 with a higher-resolution canonical image, and removes hidden MDPI sample-template boilerplate from the source archive. The substantive framework, equations, figures, and scholarly references remain aligned with v1.1.1.
Authors
- Paul Warrington Marshall (ORCID: https://orcid.org/0009-0004-3674-7883)
Institutions
- Fidélitas University (CR)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-07-27
- DOI
- https://doi.org/10.5281/zenodo.20696528
- Primary Topic
- Morphological variations and asymmetry
- Type
- preprint