A SPECIAL CASE OF MUTUALLY
INTERSECTING REGULAR PYRAMIDS
Zoya Tsoneva
Technical University of Varna
Department of Industrial Design
Varna - 9010, BULGARIA

Abstract

The primary focus of the paper is on the specific features of the form of the intersecting line as a result of a mutual intersection of regular pyramids with a common base. Explored are the possible applications of the theorem concerning the intersection of two second – order surfaces, sharing a common base and passing through a common second – order curve.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 33
Issue: 5
Year: 2020

DOI: 10.12732/ijam.v33i5.7

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References

  1. [1] N. Uzunov, G. Petrov, S. Dimitrov, Descriptive Geometry, Tehnika, Publishing House, Sofia (1963), In Bulgarian.
  2. [2] Z. Tsoneva, Specifics of mutually intersecting regular pyramids with a common base, J. Geometry and Symmetry in Phys., In print (2019).
  3. [3] S. Atanasova, Constructing the projections of polyhedrons, Eastern Academic J., Issue 2 (Aug. 2019), 70-79.
  4. [4] H. Belbachir, A. Mehdaoui L. Szalay, Diagonal sums in Pascal pyramid, J. of Combinatorial Theory, 165 (2019), 106-116.
  5. [5] A. D¨urer, Underweysung der Messung, mit Den Zirckel un Richtscheyt, in Linien Ebnen und Gantzen Corporen (1525).
  6. [6] J. O’Rourke, How to Fold It: The Mathematics of Linkage, Origami and Polyhedra, Cambridge University Press (2011).
  7. [7] Z. Abel, E. Demaine, M. Demaine, H. Ito, J. Snoeyink, R. Uehara, Bumpy pyramid folding, Computational Geometry, 75 (2018), 22-31.
  8. [8] F. Di Paola, P. Pedone, M. Pizzurro, Digital and interactive learning and teaching methods in descriptive geometry, Procedia - Social and Behavioral Sciences, 10610 (2013), 873-885.
  9. [9] N. Argelia, A. Gonz´alez, How to include augmented reality in descriptive geometry teaching, Procedia Computer Science, 75 (2015), 250-256.
  10. [10] R. Garcia, J. Quiros, R. Santos, S. Gonzalez, S. Fernanz, How to include augmented reality in descriptive geometry teaching, Computers & Education, 49, No 3 (2007), 615-639.
  11. [11] W. Fuhs, H. Stachel, Circular pipe-connections, Computers & Graphics, 12, No 1 (1988), 53-57.