GEOMETRIC DESIGN OF SHELLS WITH THE HELPOF FOUR-DIMENSIONAL SPACE

Authors

  • V. A. Korotki South Ural State University, Chelyabinsk, Russian Federation
  • E. A. Usmanova South Ural State University, Chelyabinsk, Russian Federation
  • L. I. Khmarova South Ural State University, Chelyabinsk, Russian Federation

Abstract

A constructive graphics algorithm for design of an architectural shell, passing through a
spatial closed contour formed by flat curves, is explained. Methods of four-dimensional descriptive
geometry together with the means of three-dimensional computer graphics are used
for realization of the algorithm.

Author Biographies

V. A. Korotki, South Ural State University, Chelyabinsk, Russian Federation

South Ural State University, Chelyabinsk, Russian Federation

E. A. Usmanova, South Ural State University, Chelyabinsk, Russian Federation

South Ural State University, Chelyabinsk, Russian Federation

L. I. Khmarova, South Ural State University, Chelyabinsk, Russian Federation

South Ural State University, Chelyabinsk, Russian Federation

References

Mikhaylenko V.E., Obukhova V.S., Podgornyy A.L. Formoobrazovanie obolochek v arkhitekture [Forming

of Shells in Architecture]. Kyiv, Publishing House «Budivelnik», 1972. 205 p.

Voloshinov D.V. Konstruktivnoe geometricheskoe modelirovanie. Teoriya, praktika, avtomatizatsiya [Constructive

Geometric Modeling. Theory, Practice, Automation]. Saarbrucken, Lambert Academic Publishing, 2010.

p.

Bolotov V.P. Geometricheskiy i programmnyy kompleks interaktivnogo graficheskogo programmirovaniya

v SAPR: diss. doct. tekhn. nauk [Geometric and Software Complex Interactive Graphical Programming in CAD.

Cand. sci. diss.]. Vladivostok, Publishing House DVSU, 1993. 234 p.

Korotkiy V.A., Khmarova L.I., Butorina I.V. Nachertatel'naya geometriya [Descriptive Geometry]. Chelyabinsk,

South Ural St. Univ. Publ., 2013. 183 p. Available at: http://www.lib.susu.ac.ru.

Ivanov G.S. Nachertatel'naya geometriya [Descriptive Geometry]. Moscow, Machine-Building, 1995.

p.

Issue

Section

Methodological support section