Monday, August 23, 2010

Penrose Stairs, Escher and Inception

What is an impossible object? What is a lucid dream? Most recently, in Christopher Nolan's Inception, the protagonists climb an impossible object - Penrose Stairs - which are essentially, "a two-dimensional depiction of a staircase in which the stairs make four 90-degree turns as they ascend or descend yet form a continuous loop, so that a person could climb them forever and never get any higher. This is clearly impossible in three dimensions; the two-dimensional figure achieves this paradox by distorting perspective."



Ascending and Descending is a lithograph print by the Dutch artist M.C.Escher and is based on the same principle.




The staircase had also been discovered previously by the Swedish artist Oscar Reutersvärd, but apparently neither Penrose nor Escher were aware of his designs. This is Reutersvärd's sketch of an impossible triangle for a Swedish postage stamp.
 
 


Watercolour on Japanese ricepaper by Oscar Reutersvärd...yet another impossible figure! Check out this blog for more impossible figures
http://impossible-world.blogspot.com/2007_12_01_archive.html



Lucid Dream - Wikipedia definition:

A lucid dream, in simplest terms, is a dream in which one is aware that one is dreaming. The term was coined by the Dutch psychiatrist and writer Frederik van Eeden (1860–1932).[1]

A lucid dream can begin in one of two ways. A dream-initiated lucid dream (DILD) starts as a normal dream, and the dreamer eventually concludes it is a dream, while a wake-initiated lucid dream (WILD) occurs when the dreamer goes from a normal waking state directly into a dream state, with no apparent lapse in consciousness.

Lucid dreaming has been researched scientifically, and its existence is well established.[2][3]

Scientists such as Allan Hobson, with his neurophysiological approach to dream research, have helped to push the understanding of lucid dreaming into a less speculative realm.

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