Geodesic
Science and Art in Representing the Fifth Dimension
In this paper we implore several scientific and artistic techniques to visualize and represent the ‘invisible’ fourth and fifth dimensions. For visualizing the fourth dimension we use an example from multivariable calculus and a numerical solution of the nonlinear wave equation in (2+1) dimensions. For representing the fifth dimension we use exterior calculus and Stokes theorem, with applications to four– and five–dimensional electrodynamics.
Classification : 00A66 
@article{VM_2008_10_3_a3,
     author = {Tijana T. Ivancevic and Nick N. Ivancevic and Sasa A. Jovanovic},
     title = {Science and {Art} in {Representing} the {Fifth} {Dimension}},
     journal = {Visual Mathematics},
     publisher = {mathdoc},
     volume = {10},
     number = {3},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VM_2008_10_3_a3/}
}
TY  - JOUR
AU  - Tijana T. Ivancevic
AU  - Nick N. Ivancevic
AU  - Sasa A. Jovanovic
TI  - Science and Art in Representing the Fifth Dimension
JO  - Visual Mathematics
PY  - 2008
VL  - 10
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VM_2008_10_3_a3/
LA  - en
ID  - VM_2008_10_3_a3
ER  - 
%0 Journal Article
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%A Nick N. Ivancevic
%A Sasa A. Jovanovic
%T Science and Art in Representing the Fifth Dimension
%J Visual Mathematics
%D 2008
%V 10
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VM_2008_10_3_a3/
%G en
%F VM_2008_10_3_a3
Tijana T. Ivancevic; Nick N. Ivancevic; Sasa A. Jovanovic. Science and Art in Representing the Fifth Dimension. Visual Mathematics, Tome 10 (2008) no. 3. http://geodesic.mathdoc.fr/item/VM_2008_10_3_a3/