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theaitetos: Ancient Intelligence Geometric Superposition Field Calculations

Establishes a deterministic geometric extension framework within the 'theaitetos' package, honoring the ancient mathematical foundations of Theaetetus of Athens (400 BC). Incorporates the stereometric proofs on the regular octahedron later recorded in Plato (ca. 369 BC) "Theaetetus" <urn:cts:greekLit:tlg0059.tlg006> and Euclid (ca. 300 BC) "Elements" <urn:cts:greekLit:tlg1799.tlg001>. References the standard Greek text tradition by Heiberg (1885) "Euclidis Elementa" and the analytical translations by Heath (1926) "The Thirteen Books of Euclid's Elements". To achieve operational utility, the architecture delivers a high-level computational core engine that abstracts complex 3D-to-2D vector projections and scalar wave superpositions, eliminating low-level reprogramming. It integrates a standardized visualization layer built upon 'ggplot2' to render high-resolution continuous scalar fields and provides a runtime-configurable selection interface across multiple physical and biological dimensions. Operates under the modern paradigm of a hypothetical holographic universe by referencing the foundational concepts of 't Hooft (1993) <doi:10.48550/arXiv.gr-qc/9310026> and Susskind (1995) <doi:10.1063/1.531249> to project Euclidean invariants onto a lower-dimensional boundary plane. Serves as a creative epistemological sub-module utilizing the core analytical computations of the 'octawave' package.

Version: 0.1.0
Imports: ggplot2
Suggests: knitr, rmarkdown
Published: 2026-11-03
DOI: 10.32614/CRAN.package.theaitetos
Author: Katharina Brecht ORCID iD [aut, cre]
Maintainer: Katharina Brecht <katharina.quantumdata at proton.me>
License: GPL-3
NeedsCompilation: no
Materials: README
CRAN checks: theaitetos results

Documentation:

Reference manual: theaitetos.html , theaitetos.pdf
Vignettes: 'theaitetos: KataLog - Crystal & Capsid Symmetries' (source, R code)
The theaitetos Framework (source, R code)

Downloads:

Package source: theaitetos_0.1.0.tar.gz
Windows binaries: r-devel: theaitetos_0.1.0.zip, r-release: theaitetos_0.1.0.zip, r-oldrel: theaitetos_0.1.0.zip
macOS binaries: r-release (arm64): theaitetos_0.1.0.tgz, r-oldrel (arm64): theaitetos_0.1.0.tgz, r-release (x86_64): theaitetos_0.1.0.tgz, r-oldrel (x86_64): theaitetos_0.1.0.tgz

Linking:

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These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.
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