Towards a computer-assisted exclusion of Rupert's property for the parabigyrate rhombicosidodecahedron

This interim report concerns Johnson solid J73, the parabigyraterhombicosidodecahedron. It presents local exclusion theorems nearcoincidence and contact families and an independent checker using thecertificate rules G, SC, COVER and tube. The accompanying software archive contains the frozen production-statussnapshot and the data specified in its README. Production counters aredistinguished from independently checked mathematical results.The global computation and exhaustive verification of the completecover remain in progress. This report does not assert that J73 isnon-Rupert, and no completion date is given. The software archive and its version-specific DOI are listed amongthe related identifiers. The discovery note has been incorporatedinto this report and is not published as a separate note.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-28
DOI
https://doi.org/10.5281/zenodo.23725006
Primary Topic
Mathematics and Applications
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

Towards a computer-assisted exclusion of Rupert's property for the parabigyrate rhombicosidodecahedron

Sumin Yoo
2 links
Zenodo (CERN European Organization for Nuclear Research)
Mathematics and Applications
preprint

Towards a computer-assisted exclusion of Rupert's property for the parabigyrate rhombicosidodecahedron

Sumin Yoo
preprint en

Abstract

This interim report concerns Johnson solid J73, the parabigyraterhombicosidodecahedron. It presents local exclusion theorems nearcoincidence and contact families and an independent checker using thecertificate rules G, SC, COVER and tube. The accompanying software archive contains the frozen production-statussnapshot and the data specified in its README. Production counters aredistinguished from independently checked mathematical results.The global computation and exhaustive verification of the completecover remain in progress. This report does not assert that J73 isnon-Rupert, and no completion date is given. The software archive and its version-specific DOI are listed amongthe related identifiers. The discovery note has been incorporatedinto this report and is not published as a separate note.

Zenodo (CERN European Organization for Nuclear Research)
Mathematics and Applications
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Laika access coming soon
Towards a computer-assisted exclusion of Rupert's property for the parabigyrate rhombicosidodecahedron — Sumin Yoo · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS