Astrophysics and Space Science

, Volume 200, Issue 1, pp 117–127 | Cite as

Zatrikean pre-geometry: number of alyssoids and the dilation factors

  • V. S. Geroyannis
  • T. G. Dallas


This paper is the continuation of a recent paper (written by the first author), in which an axiomatic zatrikean (i.e., chess-like) pre-geometry together with a rotationally induced zatrikean pre-geometry were developed. In the present paper, the number of alyssoids joining two geobits is determined for bothQ andR pre-metrics. Furthermore, the functional forms ofQ andR pre-geometric dilation factors are determined and calculated. It has been verified that these functions contain discontinuities and, therefore, a method for smoothing them out is proposed and applied.


Functional Form Dilation Factor 
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  1. Geroyannis, V. S.: 1992,Astrophys. Space Sci. 199, 53.Google Scholar

Copyright information

© Kluwer Academic Publishers 1993

Authors and Affiliations

  • V. S. Geroyannis
    • 1
  • T. G. Dallas
    • 1
  1. 1.Astronomy Laboratory, Department of PhysicsUniversity of PatrasGreece

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