Zobrazeno 1 - 10
of 111
pro vyhledávání: '"Hiroshi Maehara"'
Autor:
Hiroshi Maehara, Horst Martini
Publikováno v:
Graphs and Combinatorics. 38
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::26a5188a9822c9818029e4fd59604ba0
https://doi.org/10.1007/s00373-022-02587-8
https://doi.org/10.1007/s00373-022-02587-8
Autor:
Hiroshi Maehara, Horst Martini
Publikováno v:
Aequationes mathematicae. 96:361-379
In Donnay’s and Van Brummelen’s monographs on spherical trigonometry, the Cesaro method is revitalized to derive various results on spherical triangles. Using Cesaro’s triangles, we derive in this paper some further results on spherical triangl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f91d9d943c2dd28d588930e43cd85eec
https://doi.org/10.1007/s00010-021-00820-y
https://doi.org/10.1007/s00010-021-00820-y
Autor:
Hiroshi Maehara, Horst Martini
Publikováno v:
The American Mathematical Monthly. 127:897-910
A sphere that is tangent to all four face-planes (i.e., the affine hulls of the faces) of a tetrahedron is called a tangent sphere of the tetrahedron. Two tangent spheres are called neighboring if ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9200a25d4c315dea27aae68b0491fe54
https://doi.org/10.1080/00029890.2020.1814673
https://doi.org/10.1080/00029890.2020.1814673
Publikováno v:
Georgian Mathematical Journal. 26:561-572
The equidistant set of a collection F of lines in 3-space is the set of those points whose distances to the lines in F are all equal. We present many examples and results related to the lines possibly contained in the equidistant set of F. In particu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aa5024b075f94df40838f1ee7694393e
https://doi.org/10.1515/gmj-2019-2037
https://doi.org/10.1515/gmj-2019-2037
Autor:
Hiroshi Maehara
Publikováno v:
European Journal of Combinatorics. 80:277-286
If a planar lattice contains the vertices of a convex equilateral n -gon for some n ≠ 4 , then the lattice is similar to a sublattice of Z 5 in R 5 , and it contains the vertices of a convex equilateral 2 n -gon for every n ≥ 2 . If a planar latt
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6fe37cbc1b380bc7ed8ae3e570e84c11
https://doi.org/10.1016/j.ejc.2018.02.015
https://doi.org/10.1016/j.ejc.2018.02.015
Autor:
Hiroshi Maehara, Horst Martini
This textbook focuses on the geometry of circles, spheres, and spherical geometry. Various classic themes are used as introductory and motivating topics. The book begins very simply for the reader in the first chapter discussing the notions of invers
Autor:
Hiroshi Maehara, Horst Martini
Publikováno v:
Aequationes mathematicae. 92:763-800
The n-dimensional integer lattice, denoted by $${{\mathbb {Z}}}^n$$ , is the subset of $${{\mathbb {R}}}^n$$ consisting of those points whose coordinates are all integers. In this expository paper, many concrete, intuitive, and geometric results conc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bb3bdc54fbee3183d0df00c2791ca564
https://doi.org/10.1007/s00010-018-0557-4
https://doi.org/10.1007/s00010-018-0557-4
Autor:
Horst Martini, Hiroshi Maehara
Publikováno v:
European Journal of Combinatorics. 61:85-90
Let X be an infinite set in R d that has no accumulation point. We prove that the following statement holds for each d -dimensional polyhedron ź , i.e., for each bounded part of R d generated by a closed polyhedral surface: for any positive integer
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::79660ae1b6d7c863547affbf5a3563e3
https://doi.org/10.1016/j.ejc.2016.10.002
https://doi.org/10.1016/j.ejc.2016.10.002
Autor:
Hiroshi Maehara, Horst Martini
Publikováno v:
Jahresbericht der Deutschen Mathematiker-Vereinigung. 119:93-132
This is an exposition of results and methods from geometric probability on the surface of a ball (i.e., on a sphere) in three-dimensional space. We tried to make our arguments simple and intuitive. We present many concrete results together with their
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7dd786556c7096fd520b0e7844574ea2
https://doi.org/10.1365/s13291-017-0158-5
https://doi.org/10.1365/s13291-017-0158-5
Autor:
Hiroshi Maehara
Publikováno v:
Colloquium Mathematicum. 146:123-128
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::26db8f7ae80e281bfbb52f7768e64c67
https://doi.org/10.4064/cm6213-5-2016
https://doi.org/10.4064/cm6213-5-2016