Geodesic
A Creation Principle of some Fish Type Skeletons in the Sense of Leibniz
Journal of convex analysis, Tome 22 (2015) no. 4, pp. 1091-1106
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

We create some fish type skeletons in the two dimensional Euclidean Space which is composed of seven evolutionary schemes and they are derived by applying a plasticity principle of convex pentagons and quadrilaterals, the generalized plasticity of polygons which is obtained by splitting the weights along the main bone of the skeleton and the plasticity of some generalized Gauss trees via the creation principle of a Fermat-Torricelli tree structure of degree four. Leibniz perception of a fish type structure is accomplished via a parallel translation of the branches (bones) of the skeleton between the weighted Fermat-Torricelli points of degree at most four which have been created by the generalized geometric plasticity along the main bone of the skeleton.
Classification : 51E12, 52A10, 52A55, 51E10
Mots-clés : Weighted Fermat-Torricelli tree structure, Steiner minimal tree, convex pentagons, plasticity principle, degree of plasticity 
@article{JCA_2015_22_4_JCA_2015_22_4_a9,
     author = {A. N. Zachos},
     title = {A {Creation} {Principle} of some {Fish} {Type} {Skeletons} in the {Sense} of {Leibniz}},
     journal = {Journal of convex analysis},
     pages = {1091--1106},
     year = {2015},
     volume = {22},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JCA_2015_22_4_JCA_2015_22_4_a9/}
}
TY  - JOUR
AU  - A. N. Zachos
TI  - A Creation Principle of some Fish Type Skeletons in the Sense of Leibniz
JO  - Journal of convex analysis
PY  - 2015
SP  - 1091
EP  - 1106
VL  - 22
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/JCA_2015_22_4_JCA_2015_22_4_a9/
ID  - JCA_2015_22_4_JCA_2015_22_4_a9
ER  - 
%0 Journal Article
%A A. N. Zachos
%T A Creation Principle of some Fish Type Skeletons in the Sense of Leibniz
%J Journal of convex analysis
%D 2015
%P 1091-1106
%V 22
%N 4
%U http://geodesic.mathdoc.fr/item/JCA_2015_22_4_JCA_2015_22_4_a9/
%F JCA_2015_22_4_JCA_2015_22_4_a9
A. N. Zachos. A Creation Principle of some Fish Type Skeletons in the Sense of Leibniz. Journal of convex analysis, Tome 22 (2015) no. 4, pp. 1091-1106. http://geodesic.mathdoc.fr/item/JCA_2015_22_4_JCA_2015_22_4_a9/