Skip to content
DraconiticResearch
Search Sources API
197,768 studies31 sourcesUpdated 13 min ago
PreprintarXiv licencearXiv

The Stairs of Reconciliation: A Mathematical Tourist in Graz

  • Santiago Schnell
Open at sourcePDFDOICite

Abstract

Inside the Grazer Burg, two late-Gothic stone flights rise about distinct spindles, overlap, share several treads, and separate again. Their plan is governed not by a coaxial double helix but, to first approximation, by two intersecting circles. This elementary geometry yields a model of recurrent meeting and makes explicit the compatibility conditions that meeting requires. It also leads to a second object that geometers call a double spiral staircase - the helicoid - and to a useful distinction between resemblance and identity. The staircase becomes a meditation on how paths, models, and disciplines can meet without becoming the same.

Related

  1. Forecast reconciliation meets compositional data analysis: A study of Italian cause-specific age-at-death
    Andrea Nigri, Giacomo Lanfiuti Baldi, Raffaele Mattera +1
    arXivPreprintCC BY-NC-SA 4.0Full textStatisticsarXiv
  2. Assessing the impact of tourist attractions through the integration of causal inference and demand-side economic analysis: A case study of the Sensoria experience museum in Holzminden, Germany
    Thomas Wieland
    arXivPreprintCC BY 4.0Full textStatisticsarXiv
  3. Bayesian Reconciliation of Overlapping Multi-Step Forecasts: A Post-Processing Framework for Cross-Origin Coherence
    Oluwatosin Bamidele Fajana, Ricardo S. Ehlers, Marinho G. Andrade
    arXivPreprintCC BY-NC-ND 4.0Full textStatisticsarXiv
  4. Mathematical folklore
    Govind Menon, Akshay Venkatesh
    arXivPreprintarXiv licenceFull textGeneral mathematicsarXiv
  5. Digital Learning Platforms and Mathematical Problem-Solving Ability: The Moderating Role of Self-Regulated Learning
    Joseph Hamenu, Isaac Davor
    European Journal of Mathematics and Science EducationPeer-reviewedLicence not statedFull text5 citedGeneral mathematicsOpenAlex

Cite

BibTeXRIS
BibTeX
@misc{schnell2026stairs,
  title = {{The Stairs of Reconciliation: A Mathematical Tourist in Graz}},
  author = {Santiago Schnell},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2607.16901},
  eprint = {2607.16901},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.16901},
}
RIS
TY  - UNPB
TI  - The Stairs of Reconciliation: A Mathematical Tourist in Graz
AU  - Santiago Schnell
PY  - 2026
DA  - 2026/09/22
PB  - arXiv
DO  - 10.48550/arxiv.2607.16901
UR  - https://arxiv.org/abs/2607.16901
AB  - Inside the Grazer Burg, two late-Gothic stone flights rise about distinct spindles, overlap, share several treads, and separate again. Their plan is governed not by a coaxial double helix but, to first approximation, by two intersecting circles. This elementary geometry yields a model of recurrent meeting and makes explicit the compatibility conditions that meeting requires. It also leads to a second object that geometers call a double spiral staircase - the helicoid - and to a useful distinction between resemblance and identity. The staircase becomes a meditation on how paths, models, and disciplines can meet without becoming the same.
ER  -