Variations of the Vecten configurations

We present some less known variations of the the Vecten configuration and give purely geometric proofs for them. It is unlikely that these variations (and even proofs?) are new, probably just well-hidden in the literature. If a reader happens to know references for the variations discussed (or other geometric proofs), please let the authors know. At [1] the reader can find a dynamic webpage on our topic.

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Publication Details

Journal
The Mathematical Gazette
Published
2025-06-20
DOI
https://doi.org/10.1017/mag.2025.10075
Primary Topic
Mathematics and Applications
Type
article
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article

Variations of the Vecten configurations

Hans Humenberger, Michael de Villiers
The Mathematical Gazette
Mathematics and Applications
article

Variations of the Vecten configurations

Hans Humenberger, Michael de Villiers
article en

Abstract

We present some less known variations of the the Vecten configuration and give purely geometric proofs for them. It is unlikely that these variations (and even proofs?) are new, probably just well-hidden in the literature. If a reader happens to know references for the variations discussed (or other geometric proofs), please let the authors know. At [1] the reader can find a dynamic webpage on our topic.

The Mathematical GazetteVol. 109(575)
University of Vienna (AT), Stellenbosch University (ZA)
Openalex Percentile: Top 80%
Mathematics and Applications
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Variations of the Vecten configurations — Hans Humenberger, Michael de Villiers · The Mathematical Gazette (2025) | TGRS Research Map | TGRS