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mathematics
M.C. Escher is famous for creating woodcuts, lithographs, and mezzotints inspired by this.

geometry
The two broad areas of mathematics that M.C. Escher's work covered are the logic and what else of space?

alhambra
This Italian fourteenth-century Moorish castle in Granada, Spain inspired Escher's artwork.
tessellation
A pattern of shapes that cover a 2-dimensional surface into infinity without gaps or overlaps.

necker
Escher's artistic worlds were drawn & built around impossible objects such as the Penrose triangle and this cube type.

17 wallpaper groups
In mathematics, two-dimensional repeating patterns with two independent translations which fill the plane.

hyperbolic geometry
This takes place on a curved two-dimensional surface called hyperbolic space.

notebook
This object Escher created, called the "Regular division of the plane with asymmetric congruent polygons" aided Escher's mathematics integration into his art.

system of categorizing
Escher's notebook aided him with this in regards to combinations of shape, color, and symmetrical properties.

tessellations
Escher used repeating tilings called this in much of his artwork beginning in the 1930's after visiting the Castle Alhambra.
