Mathematical Art

The following pictures were drawn by M.C. Escher, an artist celebrated by mathematicians because of his ability to incoropate mathematical ideas and concepts into his work (whether he realized it or not is an entirely different matter). Some of the themes depicted in these images include relativity, reflection, rotation, paradox, symmetry, perspective, angles, spheres and other geometric figures, self-reference, topology, chaos, tessellations, dimension, and the relationship of the part to the whole.

Another World

A room with a dizzying view; three perspectives
viewed simultaneously create a sense of alienness.

Ascending and Descending

A paradox; monks always walking up or down yet
never really getting anywhere.


Each half of the picture is realizable, yet the halves
taken together introduce an architectural paradox.

Day and Night

An illustation of symmetry and complements;
indistinguishable figure and ground.

Three Spheres

Yet, if you examine closely enough, you will
notice there are no spheres in this picture.

Hand with Reflecting Sphere

Projections onto a sphere; a view which neccessitates
that the artist be in the center of his world.

Drawing Hands

A self-referential drawing.

Mobius Strip II

Even though one ant may see another beneath her,
they both are on the same side of the strip.

Order and Chaos

Contrast between the states of order and chaos.


Interplay between two and three dimensions. It is also
illustrative display of a tesselation of the plane.
A "Repeated Tiling" of sorts. Appropriate, isn't it?

Three Spheres

But when reflections, light, and shadow are taken
into consideration, how many spheres are there?

Three Worlds

Three distinct yet inseperable pictures in one.


An architectual paradox many times over as well as
gravitationally impossible. Though the whole is a
paradox, portions of this scene may be realized.

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