Open AccessLACE CURVES
Author(s) -
Daniela Velichová
Publication year - 2018
Publication title -
boletim da aproged/boletim da aproged
Language(s) - English
Resource type - Journals
eISSN - 2183-1939
pISSN - 2183-1947
DOI - 10.24840/2184-4933_2018-0034_0006
Subject(s) - minkowski space , euclidean geometry , mathematics , simple (philosophy) , product (mathematics) , minkowski addition , euclidean space , pure mathematics , geometry , philosophy , epistemology
Two families of lace curves generated as partial Minkowski sum or product of pairs of curves in Euclidean 3D-space are presented in this paper. Some of their basic geometric properties are derived from the properties of Minkowski operation basic components. Illustrations of various interesting shapes resulting from the combinations of simple curve segments are included.