×

Regular polygons. (English) Zbl 0416.51008


MSC:

51M20 Polyhedra and polytopes; regular figures, division of spaces
51N20 Euclidean analytic geometry
52A37 Other problems of combinatorial convexity
15A24 Matrix equations and identities
PDF BibTeX XML Cite
Full Text: EuDML

References:

[1] V. I. Arnold: Problem 9. (Russian). Matem. Prosvěšč. 2, (1957), 268.
[2] A. Auric: Question 3867. Intermed. Math. 18, (1911), 122.
[3] O. Bottema: Pentagon with equal sides and equal angles. Geometriae Dedicata 2, (1973), 189-191. · Zbl 0272.50007
[4] B. Bydžovský: Introduction to the theory of determinants and matrices and their applications. (Czech.) Prague 1931, 1947.
[5] J. D. Dunitz J. Waser: The planarity of the equilateral. isogonal pentagon. Elem. der. Math. 27, (1972), 25-32. · Zbl 0236.50003
[6] V. A. Efremovic, Ju. S. Iljasenko: Regular polygons in \(E_n\). (Russian.) Věstník Moskov. Univ. 5, (1962), 18-24.
[7] A. P. Garber V. I. Garvackij V. Ja. Jarmolenko: Solution of Problem 9. (Russian.) Matem. Prosvěšč. 6, (1961), 345-347.
[8] H. Irminger: Zu einem Satz über räumliche Fünfecke. Elem. der Math. 25, (1970), 135-136. · Zbl 0203.53203
[9] W. Lüssy E. Trost: Zu einem Satz über räumliche Fünfecke. Elem. der Math. 25, (1970), 82-83. · Zbl 0196.24102
[10] B. Míšek: On the (n + 1)-gon in \(E_n\) with maximal volume of its convex hull. (Czech.) Čas. pěst. mat. (84), 1, (1959), 99-103.
[11] S. Šmakal: Eine Bemerkung zu einem Satz über räumliche Fünfecke. Elem. der Math. 27, (1972), 62-63. · Zbl 0237.50010
[12] G. Valiron: Polygones réguliers gauches. Intermed. Math. 18, (1911), 262.
[13] B. L. van der Waerden: Ein Satz über räumliche Fünfecke. Elem. der Math. 25, (1970), 73-78. · Zbl 0196.24101
[14] B. L. van der Waerden: Nachtrag zu ”Ein Satz über räumliche Fünfecke”. Elem. der Math. 27, (1972), 63. · Zbl 0237.50011
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.