From golden spirals to constant slope surfaces

DOI10.1063/1.3459064zbMath1311.14037arXiv0903.1348OpenAlexW3098664322MaRDI QIDQ5251833

Marian Ioan Munteanu

Publication date: 21 May 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.1348

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Special surfaces (14J25)

Related Items (20)

On angles and pseudo-angles in Minkowskian planes ⋮ Classification of timelike constant slope surfaces in 3-dimensional Minkowski space ⋮ Unnamed Item ⋮ Eikonal hypersurfaces in the Euclidean \(n\)-space ⋮ Catacaustics of a hypersurface in the Euclidean \(n\)-space ⋮ Geometry of spacelike generalized constant ratio surfaces in Minkowski 3-space ⋮ On generalized constant ratio surfaces of higher codimension ⋮ A new approach to constant slope surfaces with quaternions ⋮ Why the Golden Spiral is Golden ⋮ Non-lightlike constant angle ruled surfaces in Minkowski 3-space ⋮ On constant slope spacelike surfaces in 3-dimensional Minkowski space ⋮ Geometry of submanifolds with respect to ambient vector fields ⋮ Topics in differential geometry associated with position vector fields on Euclidean submanifolds ⋮ GOLDEN- AND PRODUCT-SHAPED HYPERSURFACES IN REAL SPACE FORMS ⋮ Generalized constant ratio surfaces in \(\mathbb E^3\) ⋮ Hypersurfaces with a canonical principal direction ⋮ A new class of killing invariant surfaces in 𝕊3 ⋮ On Weakr-Helix Submanifolds ⋮ Time-like constant slope surfaces and space-like Bertrand curves in Minkowski 3-space ⋮ New classification results on surfaces with a canonical principal direction in the Minkowski 3-space

Cites Work

• Unnamed Item
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• Position vectors of a timelike and a null helix in Minkowski 3-space
• Curved paths in raptor flight: deterministic models
• Constant angle surfaces in \(\mathbb H^{2} \times \mathbb R\)
• Helix submanifolds of Euclidean spaces
• Constant angle surfaces in \({\mathbb S}^2\times {\mathbb R}\)
• Developable surfaces in contemporary architecture

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