Generalizations of the shadow problem

  • Yu. B. Zelinskii
  • M. V. Stefanchuk


We solve the shadow problem in the n-dimensional Euclidean space $N^n$ for a family of sets obtained from any convex domain with nonempty interior with the help of parallel translations and homotheties. We determine the number of balls with centers on the sphere, sufficient for giving a shadow in the $n$-dimensional complex (hypercomplex) space.
How to Cite
Zelinskii, Y. B., and M. V. Stefanchuk. “Generalizations of the Shadow Problem”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, no. 6, June 2016, pp. 757-63,
Research articles