Package: octawave 0.1.0

octawave: Spatial Octahedral Quantum Wave Functions

Provides mathematical tools for simulating and visualizing three-dimensional octahedral quantum wave interferences and spatial resonance fields. Includes functions for MRI slice generation of fullerene structures and wave models. Computational modeling and three-dimensional visualization of fullerene and octahedral topologies are implemented within the R statistical environment, with interactive plotting powered by 'plotly'. Theoretical foundations are based on the topological frameworks of Cataldo et al. (2015) <doi:10.1002/wcms.1207>, Dresselhaus et al. (1996, ISBN:9780122218200), and Coxeter (1973, ISBN:9780486614809); the geometric principles of equations of the octahedron type are outlined in Bobenko and Suris (2012) <doi:10.1093/imrn/rnr083>. Additional structural and biological symmetry contexts are derived from Bragg (1914) <doi:10.1098/rspa.1914.0015> and Caspar and Klug (1962) <doi:10.1101/sqb.1962.027.001.005>.

Authors:Katharina Brecht [aut, cre]

octawave_0.1.0.tar.gz
octawave_0.1.0.zip(r-4.7-any)octawave_0.1.0.zip(r-4.6-any)octawave_0.1.0.zip(r-4.5-any)
octawave_0.1.0.tgz(r-4.6-any)octawave_0.1.0.tgz(r-4.5-any)
octawave_0.1.0.tar.gz(r-4.7-any)octawave_0.1.0.tar.gz(r-4.6-any)
octawave_0.1.0.tgz(r-4.6-emscripten)
manual.pdf |manual.html✨
DESCRIPTION |NEWS
card.svg |card.png
octawave/json (API)

# Install 'octawave' in R:
install.packages('octawave', repos = c('https://katharinabrecht-quantum.r-universe.dev', 'https://cloud.r-project.org'))

Bug tracker:https://github.com/katharinabrecht-quantum/octawave/issues

On CRAN:

Conda:

4.65 score 368 downloads 12 exports 65 dependencies

Last updated from:c6f83e04c8. Checks:7 WARNING, 2 OK. Indexed: yes.

TargetResultTimeFilesSyslog
linux-develWARNING162
source / vignettesOK214
linux-releaseWARNING146
macos-releaseWARNING188
macos-oldrelWARNING152
windows-develWARNING115
windows-releaseWARNING118
windows-oldrelWARNING127
wasm-releaseOK123

Exports:export_all_mri_scansexport_octawave_seriesinteractive_multi_3dinteractive_octawaveocta_verticesocta_wave_fieldocta_wave_timeplot_mri_fullereneplot_mri_octawaveplot_octawaveplot_octawave_3dplot_octawave_timesnap_3d

Dependencies:askpassbase64encbslibcachemclicpp11crosstalkcurldata.tabledigestdplyrevaluatefarverfastmapfontawesomefsgenericsggplot2gluegtablehighrhtmltoolshtmlwidgetshttrisobandjquerylibjsonliteknitrlabelinglaterlazyevallifecyclemagrittrmatlabmemoisemimeopensslotelpillarpkgconfigplotlypromisespurrrR6rappdirsRColorBrewerRcpprlangrmarkdownS7sassscalesstringistringrsystibbletidyrtidyselecttinytexutf8vctrsviridisLitewithrxfunyaml

Introduction to the octawave Package
1. Load the Package | 2. Interactive & Dynamic 3D Simulations | 3. MRI Slice Simulation | 4. Automated Multi-Format Export
Rendered fromintroduction_to_octawave.Rmdusingknitr::rmarkdown

Last update: 2026-08-26
Started: 2026-08-18

The Geometry of Resonance
The Geometry of Resonance: Space, Symmetrical Interference, and the Octawave Model | Abstract | 1. Introduction: The Freedom of Spatial Geometry | 2. The Pentagon-Hexagon Network: Higher Symmetries and Fullerene Interference | 2.1 The Mathematical Topology of C₆₀ | 2.2 Slicing the Dream: Hexagonal Quantum Patterns | 3. Virtual Tomography: Animation Loops and Code Implementation | 3.1 The Concept of the Mathematical Slice | 3.2 The Octawave Loop: The Pulsing Diamond | 3.3 The Fullerene Loop: The Living Quantum Sphere | 4. Conclusion and Outlook: The Future of Spatial Wave Modeling | 4.1 Summary of the Present Work | 4.2 Future Perspectives: Expanding the Quantum Horizon | References | Acknowledgments
Rendered fromoctawave-theory.Rmdusingknitr::rmarkdown

Last update: 2026-08-26
Started: 2026-08-17

The Geometry of Resonance - With Figures
The Geometry of Resonance: Space, Symmetrical Interference, and the Octawave Model | Abstract | 1. Introduction: The Freedom of Spatial Geometry | 2. The Pentagon-Hexagon Network: Higher Symmetries and Fullerene Interference | 2.1 The Mathematical Topology of C₆₀ | 2.2 Slicing the Dream: Hexagonal Quantum Patterns | 3. Virtual Tomography: Animation Loops and Code Implementation | 3.1 The Concept of the Mathematical Slice | 3.2 The Octawave Loop: The Pulsing Diamond | 3.3 The Fullerene Loop: The Living Quantum Sphere | 4. Conclusion and Outlook: The Future of Spatial Wave Modeling | 4.1 Summary of the Present Work | 4.2 Future Perspectives: Expanding the Quantum Horizon | References | Acknowledgments
Rendered fromoctawave-visuals.Rmdusingknitr::rmarkdown

Last update: 2026-08-26
Started: 2026-08-17