[图书][B] Bodies of constant width

H Martini, L Montejano, D Oliveros - 2019 - Springer
Horst Martini Luis Montejano Déborah Oliveros An Introduction to Convex Geometry with
Applications Page 1 Bodies of Constant Width Horst Martini Luis Montejano Déborah Oliveros An …

Minkowski Geometry—Some Concepts and Recent Developments

V Balestro, H Martini - Surveys in Geometry I, 2022 - Springer
The geometry of finite-dimensional normed spaces (= Minkowski geometry) is a research
topic which is related to many other fields, such as convex geometry, discrete and …

Graphic analytical optimization of design and operating parameters of tires for drive wheels of agricultural machinery

B Sheludchenko, E Šarauskis, S Kukharets… - Soil and Tillage …, 2022 - Elsevier
Historically, machinery with wheels and tires has dominated the agricultural machinery
market, despite the rapidly growing popularity of rubber tracks. However, notwithstanding …

[HTML][HTML] Concepts of curvatures in normed planes

V Balestro, H Martini, E Shonoda - Expositiones Mathematicae, 2019 - Elsevier
The theory of classical types of curves in normed planes is not strongly developed. In
particular, the knowledge on existing concepts of curvatures of planar curves is widespread …

Zindler-type hypersurfaces in R4

Y Martinez-Maure, D Rochera - Journal of Geometry and Physics, 2022 - Elsevier
In this paper the definition of Zindler-type hypersurfaces is introduced in R 4 as a
generalization of planar Zindler curves. After recalling some properties of planar Zindler …

Iteration of involutes of constant width curves in the Minkowski plane

M Craizer - Beiträge zur Algebra und Geometrie/Contributions to …, 2014 - Springer
In this paper we study properties of the area evolute (AE) and the center symmetry set (CSS)
of a convex planar curve γ γ. The main tool is to define a Minkowski plane where γ γ …

Zindler curves in non-Euclidean geometry

D Rochera - Journal of Geometry and Physics, 2024 - Elsevier
In this paper Zindler curves are studied in elliptic and hyperbolic planes. In some cases,
these curves are associated to self-parallel curves through a double-traced closed curve …

Hedgehog theory

Y Martinez-Maure - 2024 - hal.science
Hedgehogs are the geometrical objects that describe the Minkowski differences (ie, formal
differences) of arbitrary convex bodies in $\mathbb {R}^{n+ 1} $. This book aims to …

[HTML][HTML] Classification of conics and Cassini curves in Minkowski space-time plane

EN Shonoda - Journal of the Egyptian Mathematical Society, 2016 - Elsevier
In this paper we use the Apollonius definition of conics to generate algebraic curves in the
Minkowski space-time plane M 2, which turn out to be different from classical conic sections …

Closed cycloids in a normed plane

M Craizer, R Teixeira, V Balestro - Monatshefte für Mathematik, 2018 - Springer
Given a normed plane PP, we call P P-cycloids the planar curves which are homothetic to
their double P P-evolutes. It turns out that the radius of curvature and the support function of …