Title:
1,2,3, some inductive real sequences and a beautiful algebraic pattern
Author(s):
Abdymanapov, Sarsengali Abdygalievich; Altynbek, Serik; Begehr, Anton; Begehr, Heinrich
Year of publication:
2021
Available Date:
2022-01-18T08:39:55Z
Abstract:
By rewriting the relation 1+2=3 as √12+√22=√32 , a right triangle is looked at. Some geometrical observations in connection with plane parqueting lead to an inductive sequence of right triangles with √12+√22=√32 as initial one converging to the segment [0,1] of the real line. The sequence of their hypotenuses forms a sequence of real numbers which initiates some beautiful algebraic patterns. They are determined through some recurrence relations which are proper for being evaluated with computer algebra.
Part of Identifier:
e-ISSN (online): 2196-6753
Keywords:
Sequence of real numbers
convergence
plane parqueting
DDC-Classification:
510 Mathematik
Publication Type:
Wissenschaftlicher Artikel
URL of the Original Publication:
DOI of the Original Publication:
Department/institution:
Mathematik und Informatik
Institut für Mathematik
Comments:
Die Publikation wurde aus Open Access Publikationsgeldern der Freien Universität Berlin gefördert.
