Playful Imaginings: The Illusions Playful Imaginings: The Illusions of M.C. Escherof M.C. Escher

Megan Rible

Stanford University

Escher’s InspirationEscher’s Inspiration

“Sometimes it seems as though we are all obsessed with a longing for the impossible. The reality around us, the three dimensional world surrounding us, is too ordinary, too boring, too common. We yearn for the unnatural or the supernatural, the impossible, the miraculous.”

New WorldsNew Worlds

mixture of reality and reflectionThree Spheres II, Three Worlds, Still

Life and Street

Illusion of SpaceIllusion of Space

the human brain insists on making two-dimensional pictures spatial

Dragon, Three Spheres I

PerspectivePerspective

focusing attention on the nadir: Tower of Babel

interchanging zenith, nadir, and distance points: Other World, Relativity

curved lines of perspective: Up and Down, House of Stairs

RelativityRelativity

My computer rendering of Escher’s world of staircases. There are three separate points of view depicted with the same vanishing points.

Rendering #2Rendering #2

Another, less picturesque view, but the possibilities can be seen.

Deep FishDeep Fish

Contours - thickness decreases with distance

Network of LinesRhythmic positioningFading colorsColors go from warm - cold as water

gets deeper

Impossible ObjectsImpossible Objects

“If you want to express something impossible you must keep to certain rules…The element of mystery to which you want to draw attention should be surrounded and veiled by a quite obvious, readily recognizable commonness.”

quasi-spatial: only exist on a flat surface Convex and Concave, Print Gallery

Impossible CubeImpossible Cube

Here is the secret behind the impossible cube that Escher displays in Belvedere

Roger Penrose’s TriangleRoger Penrose’s Triangle

The Endless StaircaseThe Endless Staircase

“Yes, yes, we climb up and up, we imagine we are ascending; every step is about ten inches high, terribly tiring- and where does it all get us? Nowhere; we don’t get a step farther or higher. I’m working my fingers to the bone, believing I’m ascending. How absurd it all is.”

Escher’s StaircaseEscher’s Staircase

Escher received the idea for this model from Roger Penrose.

QuotesQuotes

“Although I am absolutely without training or knowledge in the exact sciences, I often seem to have more in common with mathematicians than with my fellow-artists.”

“An understanding of the relationships between plane and space is a source of emotion for me; and emotion is a strong incentive, or at least a stimulus for making a picture.”

Computer RenderingsComputer Renderings

More Cool StuffMore Cool Stuff

BelvedereBelvedere