Hyperbolic tessellation: harmonic Green function for a Schweikart triangle in hyperbolic geometry

Q: What does this research mean for the field?

The harmonic Green function for a Schweikart triangle in hyperbolic geometry can be constructed using parqueting reflection. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

Heinrich Begehr

doi:10.17169/refubium-45191

January 1, 2026Open Access

Hyperbolic tessellation: harmonic Green function for a Schweikart triangle in hyperbolic geometry

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Key Points

The aim is to construct the harmonic Green function for a Schweikart triangle using parqueting reflection in hyperbolic geometry.
Utilized parqueting reflection as a method of construction
Focused on hyperbolic geometric principles
Applied mathematical frameworks relevant to tessellation
Successfully derived the harmonic Green function for the Schweikart triangle
Demonstrated the feasibility of using parqueting reflection in this context
Contributed to the understanding of harmonic functions in hyperbolic geometry

Implication

Parqueting reflection constructs a harmonic Green function in hyperbolic geometry, indicating innovative mathematical approaches.

Abstract

Parqueting reflection is used to construct the harmonic Green function for a Schweikart triangle in the hyperbolic plane.

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Cite This Study

Heinrich Begehr (2026) studied this question.

synapsesocial.com/papers/699fe39d95ddcd3a253e7937 https://doi.org/10.17169/refubium-45191

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Hyperbolic tessellation: harmonic Green function for a Schweikart triangle in hyperbolic geometry

Key Points

Implication

Abstract

Discussion

Cite This Study

Hyperbolic tessellation: harmonic Green function for a Schweikart triangle in hyperbolic geometry

Key Points

Implication

Abstract

Discussion

Cite This Study

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