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1
Content available remote Translative packing of unit squares into equilateral triangles
Januszewski J.
Demonstratio Mathematica
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2015
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Vol. 48, nr 3
452--461
EN
Every collection of n (arbitrary-oriented) unit squares can be packed translatively into any equilateral triangle of side length 2.3755 ∙ √n.
2
Content available remote Banach-Mazur distance between convex quadrangles
Lassak M.
Demonstratio Mathematica
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2014
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Vol. 47, nr 4
989--993
EN
It is proved that the Banach–Mazur distance between arbitrary two convex quadrangles is at most 2. The distance equals 2 if and only if the pair of these quadrangles is a parallelogram and a triangle.
3
Content available remote Translative covering by unit squares
Januszewski J.
Demonstratio Mathematica
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2013
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Vol. 46, nr 3
605--616
EN
Some results concerning translative coverings of squares and triangles by two, three and four unit squares are presented.
4
Content available Geometrical imagination and knowledge of triangles at elementary schools
Benešová L., Tláskal J., Molnár J., Slezáková J.
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
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2011
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Vol. 16
191--196
EN
A pilot study concerning rudimentary knowledge of triangles and spatial imagination is submitted to 7th-grade pupils of an elementary school and students of the same age at a grammar school. The theory is important but practical problems are more interesting for students. Problems in spatial imagination allow a teacher to specify the level of students' mathematical abilities. The aim of this pre-research is to compare knowledge of pupils of an elementary school and a grammar school.
5
Metallo-Supramolecular Assemblies Incorporating 1,3- and 1,4-Aryl Linked Bis-beta-Diketones - Some Recent Studies
Clegg J. K., Jolliffe K. A., Lindoy L. F., Meehan G. V.
Polish Journal of Chemistry
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2008
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Vol. 82, nr 6
1131-1144
EN
A review of recent work in the authors laboratories in volving the interaction of 1,3- and 1,4-aryl linked bis-beta-diketone derivatives with divalent and trivalent metal ions is presented. In some in stances, bifunctional bridging ligands have been employed to extend the resulting structures from two to three dimensions. Examples of metallosupra molecular dinuclear 'platforms', tetranuclear cofacial dimers, dinuclear helicates, trinuclear triangles, stepped metallo-polymers, a prismatic columnar polymer and large cavity-containing, tetranuclear tetrahedra are all discussed.
6
Content available remote The cubature formula of degree 4 for triangle, tetrahedron and 4-simplex
Stańdo J.
Journal of Applied Computer Science
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2003
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Vol. 11, nr 1
77-89
EN
Assume that the domain D is multidil1lensional region of integration given by unions of simplices T. Consider [wzór], are approximated by finite sums of the form [wzór], where WiT are weighs and xiT ∈ T are nodes. I present new cubature schemes for triangle, tetrahedron and 4-simplex exact for polynomials of fourth degree and the algorithm computing the integral and control error procedure. Software for the polygon is in the Appendix. Subject Classification AMS 65D32.
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