
The connection between mathematics and
art goes back thousands of years. Mathematics has been
used in the design of Gothic cathedrals, Rose windows,
oriental rugs, mosaics and tilings. Geometric forms were
fundamental to the cubists and many abstract expressionists,
and awardwinning sculptors have used topology as the
basis for their pieces. Dutch artist M.C. Escher represented
infinity, Möbius ands, tessellations, deformations,
reflections, Platonic solids, spirals, symmetry, and
the hyperbolic plane in his works.
Mathematicians and artists continue to
create stunning works in all media and to explore the
visualization of mathematicsorigami, computergenerated
landscapes, tesselations, fractals, anamorphic art, and
more.
Jump to one of the galleries


Explore the world of mathematics and art, share an epostcard, and bookmark this page to see new featured works..
Home > Dejenie A. Lakew :: Hyper Symmetries

Most viewed  Dejenie A. Lakew :: Hyper Symmetries 
Superimposition of Polar Surfaces2, by Dejenie A. Lakew1290 viewsSuperimpositions of polar surfaces. Equations:
rho = 2cos(3exp sin 3[theta])*exp sin 3[theta]*exp(sin 3(exp sin 3[theta])),
rho = exp(sin 3(exp sin 3[theta]),
rho = 3cos(3exp sin 3[theta])*exp sin 3[theta]*exp(sin 3(exp sin 3[theta]))
with compositions of tilts and turns.
Here the first polar surface is the derivative of the second surface and the third surface is a spatial reflection of the first through the origin with wire frames, but with a larger spatial radius.


Superimposition of Polar Surfaces6, by Dejenie A. Lakew1058 viewsSuperimposition of three polar surfaces. Equations:
rho = 2cos(3exp sin 3[theta])*exp sin 3[theta]*exp(sin 3(exp sin 3[theta])),
rho = 3 + 2cos(3exp sin 3[theta])*exp sin 3[theta]*exp(sin 3(exp sin 3[theta]))
rho = 6*(the outer sphere wireframed) with many compositions of tilts and turns as rigid transformations.


Superimposition of Polar Surfaces4, by Dejenie A. Lakew1035 viewsSuperimpositions of polar surfaces. Equations:
rho = 10sin8[theta]
rho = 10cos8[theta] with a number of compositions of tilts and turns.


Superimposition of Polar Surfaces1, by Dejenie A. Lakew1024 viewsThe superimposition of two polar surfaces:
rho = 2sin4[theta]
rho = 5/3 cos4[theta] (wireframed) with some compositions of tilts and turns.
The two polar surfaces are generated in such a way that one is a derivative surface of the other but with different polar radius.


Superimposition of Polar Surfaces3, by Dejenie A. Lakew943 viewsSuperimposition of polar surfaces. Equations:
rho = 2cos(3exp sin 3[theta])*exp sin 3[theta]*exp(sin 3(exp sin 3[theta])),
rho = 3 + 2cos(3exp sin 3[theta])*exp sin 3[theta]*exp(sin 3(exp sin 3[theta]))
with several compositions of tilts and turns.


Superimposition of Polar Surfaces5, by Dejenie A. Lakew895 viewsSuperimposition of three polar surfaces. Equations:
rho = 2cos(3exp sin 3[theta])*exp sin 3[theta]*exp(sin 3(exp sin 3[theta])),
rho = 3 + 2cos(3exp sin 3[theta])*exp sin 3[theta]*exp(sin 3(exp sin 3[theta]))
rho = 3cos(3exp sin 3[theta])*exp sin 3[theta]*exp(sin 3(exp sin 3[theta]) followed by many compositions of tilts and turns.



