Marek Lassak

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All published works

Action	Title	Year	Authors
+ PDF Chat	Spherical quadrilateral with three right angles and its application for diameter of extreme points of a convex body	2024	Marek Lassak
+	Estimation of the Centroid Banach–Mazur Distance Between Planar Convex Bodies	2024	Marek Lassak
+	Estimation of the centroid Banach–Mazur distance between planar convex bodies	2024	Marek Lassak
+ PDF Chat	Position of the centroid of a planar convex body	2024	Marek Lassak
+ PDF Chat	Applications of equidistant supporting surfaces of a convex body in the hyperbolic space	2024	Marek Lassak
+	Reduced polygons in the hyperbolic plane	2024	Marek Lassak
+	Width of convex bodies in hyperbolic space	2023	Marek Lassak
+	Spherical Geometry—A Survey on Width and Thickness of Convex Bodies	2022	Marek Lassak
+	Position of the centroid of a planar convex body	2022	Marek Lassak
+	The centroid Banach-Mazur distance between the parallelogram and the triangle	2022	Marek Lassak
+	An estimate of the centroid Banach-Mazur distance between planar convex bodies	2022	Marek Lassak
+	Approximation of Spherical Bodies of Constant Width and Reduced Bodies	2021	Marek Lassak
+	A note on generalizations of Monge's theorem	2021	Marek Lassak
+ PDF Chat	Banach–Mazur Distance from the Parallelogram to the Affine-Regular Hexagon and Other Affine-Regular Even-Gons	2021	Marek Lassak
+	A note on some generalizations of Monge's theorem	2021	Marek Lassak
+	Approximation of Spherical Bodies of Constant Width and Reduced Bodies	2021	Marek Lassak
+	Spherical geometry -- a survey on width and thickness of convex bodies	2020	Marek Lassak
+	Banach-Mazur distances between parallelograms and other affinely regular even-gons	2020	Marek Lassak
+ PDF Chat	Complete spherical convex bodies	2020	Marek Lassak
+ PDF Chat	When is a spherical body of constant diameter of constant width?	2020	Marek Lassak
+	Spherical geometry -- a survey on width and thickness of convex bodies	2020	Marek Lassak
+	Banach-Mazur distances between parallelograms and other affinely regular even-gons	2020	Marek Lassak
+	Diameter, width and thickness of spherical reduced convex bodies with an application to Wulff shapes	2019	Marek Lassak
+	Application of spherical convex bodies to Wulff shape	2019	Marek Lassak
+	When a spherical body of constant diameter is of constant width?	2019	Marek Lassak
+ PDF Chat	Spherical bodies of constant width	2018	Marek Lassak Michał Musielak
+	Spherical bodies of constant width	2018	Marek Lassak Michał Musielak
+	Diameter of reduced spherical convex bodies	2018	Marek Lassak Michał Musielak
+ PDF Chat	Reduced spherical convex bodies	2018	Marek Lassak Michał Musielak
+	Diameter of reduced spherical convex bodies	2018	Marek Lassak Michał Musielak
+	Spherical bodies of constant width	2018	Marek Lassak Michał Musielak
+	Approximation of convex bodies by polytopes with respect to minimal width and diameter	2017	Marek Lassak
+ PDF Chat	Approximation of convex bodies by polytopes with respect to minimal width and diameter	2017	Marek Lassak
+	Approximation of convex bodies by polytopes with respect to minimal width and diameter	2017	Marek Lassak
+	Reduced Spherical Convex Bodies	2016	Marek Lassak Michał Musielak
+	Reduced Spherical Convex Bodies	2016	Marek Lassak Michał Musielak
+	Reduced spherical polygons	2015	Marek Lassak
+ PDF Chat	Banach–Mazur Distance Between Convex Quadrangles	2014	Marek Lassak
+	On translative coverings of convex bodies	2014	Marek Lassak Horst Martini Margarita Spirova
+	Reduced Convex Bodies in Finite Dimensional Normed Spaces: A Survey	2014	Marek Lassak Horst Martini
+ PDF Chat	Width of spherical convex bodies	2013	Marek Lassak
+ PDF Chat	Approximation of convex bodies by inscribed simplices of maximum volume	2011	Marek Lassak
+	Reduced convex bodies in Euclidean space—A survey	2011	Marek Lassak Horst Martini
+	Simplices of maximum volume contained in the unit ball of a normed space	2010	Marek Lassak
+ PDF Chat	A measure of axial symmetry of centrally symmetric convex bodies	2010	Marek Lassak Monika Nowicka
+	Large triangles contained in the unit disk of a Minkowski plane	2009	Ewa Fabińska Marek Lassak
+	Packing a triangle with positive homothetical copies	2008	Marek Lassak Joanna Ściesińska
+	Banach-Mazur distance of central sections of a centrally symmetric convex body.	2008	Marek Lassak
+	Banach–Mazur distance of planar convex bodies	2007	Marek Lassak
+	Reduced bodies in normed planes	2007	Ewa Fabińska Marek Lassak
+	Packing a planar convex body with three homothetical copies and inscribing relatively equilateral triangles	2005	Marek Lassak
+	Reduced bodies in Minkowski space	2005	Marek Lassak Horst Martini
+	On relatively equilateral polygons inscribed in a convex body	2004	Marek Lassak
+	On the smallest disk containing a planar reduced convex body	2003	Marek Lassak
+ PDF Chat	Erratum to “Approximation of convex bodies by axially symmetric bodies”	2003	Marek Lassak
+	On-Line 2-Adic Covering of the Unit Square by Boxes	2003	Marek Lassak Janusz Januszewski
+	On-line covering of the unit cube by boxes and by convex bodles	2003	Janusz Januszewski Marek Lassak
+	A‰ne-regular hexagons of extreme areas inscribed in a centrally symmetric convex body	2003	Marek Lassak
+	Approximation of convex bodies by axially symmetric bodies	2002	Marek Lassak
+ PDF Chat	Relationships between widths of a convex body and of an inscribed parallelotope	2001	Marek Lassak
+ PDF Chat	Covering a convex body by its negative homothetic copies	2001	Janusz Januszewski Marek Lassak
+	On-line algorithms for q-adic covering of the unit interval and for covering a cube by cubes	2000	Marek Lassak
+ PDF Chat	Parallelotopes of Maximum Volume in a Simplex	1999	Marek Lassak
+	Approximation of convex bodies by rhombi and by other axially symmetric bodies	1999	Marek Lassak
+	None	1998	Marek Lassak
+	None	1997	Marek Lassak
+	On-line -adic covering by the method of the -th segment and its application to on-line covering by cubes.	1996	Janusz Januszewski Marek Lassak Günter Rote Gerhard J. Woeginger
+	On relatively short and long sides of convex pentagons	1995	Karol Doliwka Marek Lassak
+	Approximation of convex bodies by rectangles	1993	Marek Lassak
+ PDF Chat	Approximation of Convex Bodies by Triangles	1992	Marek Lassak
+ PDF Chat	Approximation of convex bodies by triangles	1992	Marek Lassak
+ PDF Chat	An on-line potato-sack theorem	1991	Marek Lassak Jixian Zhang
+	Approximation of Plane Convex Bodies by Centrally Symmetric Bodies	1989	Marek Lassak
+ PDF Chat	Covering the Boundary of a Convex Set by Tiles	1988	Marek Lassak
+ PDF Chat	Covering the boundary of a convex set by tiles	1988	Marek Lassak
+	Covering a plane convex body by four homothetical copies with the smallest positive ratio	1986	Marek Lassak
+	Solution of Hadwiger's Covering Problem for Centrally Symmetric Convex Bodies in <i>E</i> <sup>3</sup>	1984	Marek Lassak
+	Errata to the paper "Families of convex sets closed under intersection, homotheties and uniting increasing sequences of sets" Fundamenta Mathematicae 120 (1984), pp. 14-40	1984	Marek Lassak
+ PDF Chat	Convex half-spaces	1984	Marek Lassak
+ PDF Chat	Carathéodory's and Helly's dimensions of products of convexity structures	1982	Marek Lassak
+ PDF Chat	Superior estimation of Carathéodory's dimension for n-cell convexity	1982	Marek Lassak

Common Coauthors

Coauthor	Papers Together
Michał Musielak	8
Janusz Januszewski	4
Horst Martini	4
Ewa Fabińska	2
Gerhard J. Woeginger	1
Günter Rote	1
Joanna Ściesińska	1
Jixian Zhang	1
Monika Nowicka	1
Karol Doliwka	1
Margarita Spirova	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Width of spherical convex bodies	2013	Marek Lassak	14
+	Self-dual Wulff shapes and spherical convex bodies of constant width ${\pi}/{2}$	2017	Huhe Han Takashi Nishimura	11
+	Reduced convex bodies in the plane	1990	Marek Lassak	11
+ PDF Chat	Spherical bodies of constant width	2018	Marek Lassak Michał Musielak	9
+	Reduced convex bodies in Euclidean space—A survey	2011	Marek Lassak Horst Martini	9
+ PDF Chat	Reduced spherical convex bodies	2018	Marek Lassak Michał Musielak	9
+	Extremal convex sets	1983	H. Groemer	8
+	Curves of constant width in the non-euclidean geometry	2005	Kurt Leichtweiß	7
+	Reduced spherical polygons	2015	Marek Lassak	7
+ PDF Chat	Convex Bodies of Constant Width	1983	G. D. Chakerian H. Groemer	7
+ PDF Chat	The geometry of Minkowski spaces — A survey. Part I	2001	Horst Martini Konrad J. Swanepoel Günter Weiß	7
+	Non-planar simplices are not reduced	2004	Horst Martini Konrad J. Swanepoel	7
+	Approximation of Plane Convex Bodies by Centrally Symmetric Bodies	1989	Marek Lassak	6
+	Measure of Asymmetry of Convex Curves	1948	A. S. Besicovitch	6
+	Extremum Problems with Inequalities as Subsidiary Conditions	2013	Fritz John	6
+	Projections onto convex sets on the sphere	2012	O. P. Ferreira A. N. Iusem S. Z. Németh	5
+	Measures of Symmetry for Convex Sets and Stability	2015	Gábor Tóth	5
+	Reduced Convex Bodies in Finite Dimensional Normed Spaces: A Survey	2014	Marek Lassak Horst Martini	5
+	On the works of Euler and his followers on spherical geometry	2014	Athanase Papadopoulos	5
+ PDF Chat	Kleine Studie zur Kombinatorischen Geometrie der Sphäre	1955	von H. Hadwiger	5
+ PDF Chat	Approximation of convex bodies by triangles	1992	Marek Lassak	5
+	On the smallest disk containing a planar reduced convex body	2003	Marek Lassak	5
+ PDF Chat	Note on convex spherical curves	1944	Lluís Santaló	4
+	The geometry of minkowski spaces — A survey. Part II	2004	Horst Martini Konrad J. Swanepoel	4
+ PDF Chat	The maximum distance between two-dimensional Banach spaces.	1981	Walter Stromquist	4
+	Bodies of Constant Width: An Introduction to Convex Geometry with Applications	2019	Horst Martini Luis Montejano Déborah Oliveros	4
+ PDF Chat	Convex Regions on the n-Dimensional Spherical Surface	1946	L. A. Santalo	4
+	Reduced bodies in normed planes	2007	Ewa Fabińska Marek Lassak	4
+	Banach-Mazur Distances and Finite-Dimensional Operator Ideals	1989	Nicole Tomczak-Jaegermann N.Tomczak Jagermann	4
+	Bodies of Constant Width	2019	Horst Martini Luis Montejano Déborah Oliveros	4
+	Reduced strictly convex plane figure is of constant width	1986	B. V. Dekster	4
+ PDF Chat	Comparison Between Plane Symmetric Convex Bodies and Parallelograms.	1960	Edgar Asplund	4
+ PDF Chat	Hunting for Reduced Polytopes	2018	Bernardo González Merino Thomas Jahn Alexandr Polyanskii Gerd Wachsmuth	3
+ PDF Chat	Covering of a Reduced Spherical Body by a Disk	2021	Michał Musielak	3
+ PDF Chat	Self-packing of centrally symmetric convex bodies in ℝ2	1992	Peter G. Doyle J. C. Lagarias Dana Randall	3
+ PDF Chat	Constant diameter and constant width of spherical convex bodies	2020	Huhe Han Denghui Wu	3
+ PDF Chat	Some Intersection Properties of Convex Bodies	1967	G. D. Chakerian S. K. Stein	3
+	Reduced bodies in Minkowski space	2005	Marek Lassak Horst Martini	3
+	On five points in the boundary of a plane convex body pairwise in at least unit relative distances	1995	Karol Doliwka	3
+ PDF Chat	On Measures of Symmetry of Convex Bodies	1965	G. D. Chakerian Sherman K. Stein	3
+ PDF Chat	On the Inequality for Volume and Minkowskian Thickness	2006	Gennadiy Averkov	3
+	Intrinsic volumes and polar sets in spherical space	2002	Fuchang Gao Daniel Hug Rolf Schneider	3
+	None	2000	Mark Rudelson	3
+	On planar convex bodies of given Minkowskian thickness and least possible area	2005	Gennadiy Averkov	3
+	On reduced polytopes and antipodality	2008	Gennadiy Averkov Horst Martini	3
+	Convexity, complexity, and high dimensions	2007	Stanisław J. Szarek	3
+	Konvexe Bereiche gegebener konstanter Breite und kleinsten Inhalts	1915	Wilhelm Blaschke	3
+	On reduced convex bodies	1986	B. V. Dekster	3
+	Über konvexe Punktmengen konstanter Breite	1929	Børge Jessen	3
+	Special Convex Bodies	1993	Erhard Heil Horst Martini	3