Infinite Stairs Trick

Quite obviously no physics-defying “Escherian Stairwell” exists in the real world. The video was a bit of trickery created through the use of deceptive camera angles, careful editing, and digital effects, produced in conjunction with a (failed) campaign (“The Stairwell Project: Building a Modern Myth”) intended to help fund the creation of videos, articles, web pages, and other material establishing a backstory for the mythical stairway in time for Imagine RIT, the school’s annual Innovation & Creativity Festival:The most powerful aspects of myths are their ability to incite wonder and excitement. We’re creating a myth that does these things while also challenging audiences to think.The myth is that located in Rochester, NY, is the Escherian Stairwell, an architectural marvel that seems to violate the laws of physics and basic logic by looping back into itself. In order to lend credence to this myth, we’re creating an episode for a family-friendly science show that demonstrates the staircase in action, various clips from a 1997 documentary with prominent thinkers grappling with the existence of this apparent contradiction and pontificating on its implications, and a whole slew of supplemental online materials for today’s internet savvy audience to stumble across while trying to see if this thing is real (websites, scholarly articles, fan-pages, blogs, etc.). Help us build the myth!We are passionate about immersing audiences with a sense of wonder and surrounding them with a wealth of detail executed with such rigorous realism that they can choose to step into it, get lost in it, and believe in it. Films like Close Encounters and 2001 inspired us with awe, and even a hint of fear, when we first saw them. How do we capture that feeling again?

The internet and the age of social media seem to be opening up doors to reinvent the medium and reignite those in-theater experiences that have gotten stale over the decades.The following features an explanation of the intent behind the Kickstarter campaign.

The Penrose stairs or Penrose steps, also dubbed the impossible staircase, is an impossible object created by Lionel Penrose and his son Roger Penrose.^[1] A variation on the Penrose triangle, it is 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-dimensional Euclidean geometry.

The 'continuous staircase' was first presented in an article that the Penroses wrote in 1959, based on the so-called 'triangle of Penrose' published by Roger Penrose in the British Journal of Psychology in 1958.^[1]M.C. Escher then discovered the Penrose stairs in the following year and made his now famous lithograph Klimmen en dalen (Ascending and Descending) in March 1960. Penrose and Escher were informed of each other's work that same year.^[2] Escher developed the theme further in his print Waterval (Waterfall), which appeared in 1961.

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In their original article the Penroses noted that 'each part of the structure is acceptable as representing a flight of steps but the connexions are such that the picture, as a whole, is inconsistent: the steps continually descend in a clockwise direction.'^[3]

History of discovery[edit]

The Penroses[edit]

Escher, in the 1950s, had not yet drawn any impossible figures and was not aware of their existence. Roger Penrose had been introduced to Escher's work at the International Congress of Mathematicians in Amsterdam in 1954. He was 'absolutely spellbound' by Escher's work, and on his journey back to England he decided to produce something 'impossible' on his own. After experimenting with various designs of bars overlying each other he finally arrived at the impossible triangle. Roger showed his drawings to his father, who immediately produced several variants, including the impossible flight of stairs. They wanted to publish their findings but did not know in what field the subject belonged. Because Lionel Penrose knew the editor of the British Journal of Psychology and convinced him to publish their short manuscript, the finding was finally presented as a psychological subject. After the publication in 1958 the Penroses sent a copy of the article to Escher as a token of their esteem.^[4]

While the Penroses credited Escher in their article, Escher noted in a letter to his son in January 1960 that he was:

working on the design of a new picture, which featured a flight of stairs which only ever ascended or descended, depending on how you saw it. [The stairs] form a closed, circular construction, rather like a snake biting its own tail. And yet they can be drawn in correct perspective: each step higher (or lower) than the previous one. [..] I discovered the principle in an article which was sent to me, and in which I myself was named as the maker of various 'impossible objects'. But I was not familiar with the continuous steps of which the author had included a clear, if perfunctory, sketch, although I was employing some of his other examples.^[5]

Escher was captivated by the endless stairs and subsequently wrote a letter to the Penroses in April 1960:

A few months ago, a friend of mine sent me a photocopy of your article.. Your figures 3 and 4, the 'continuous flight of steps', were entirely new to me, and I was so taken by the idea that they recently inspired me to produce a new picture, which I would like to send to you as a token of my esteem. Should you have published other articles on impossible objects or related topics, or should you know of any such articles, I would be most grateful if you could send me further details.^[5]

At an Escher conference in Rome in 1985, Roger Penrose said that he had been greatly inspired by Escher's work when he and his father discovered both the Penrose tribar structure (that is, the Penrose triangle) and the continuous steps.

Oscar Reutersvärd[edit]

The staircase design had been discovered previously by the Swedish artist Oscar Reutersvärd, but neither Penrose nor Escher was aware of his designs.^[6] Inspired by a radio programme on Mozart's method of composition—described as 'creative automatism', that is, each creative idea written down inspired a new idea—Reutersvärd started to draw a series of impossible objects on a journey from Stockholm to Paris in 1950 in the same 'unconscious, automatic' way. He did not realize that his figure was a continuous flight of stairs while drawing, but the process enabled him to trace his increasingly complex designs step by step. When M.C. Escher's Ascending and Descending was sent to Reutersvärd in 1961, he was impressed but didn't like the irregularities of the stairs (2 × 15 + 2 × 9). Throughout the 1960s, Reutersvärd sent several letters to Escher to express his admiration for his work, but the Dutch artist failed to respond.^[7] Roger Penrose only discovered Reutersvärd's work in 1984.^[4]

Escherian Stairwell[edit]

The Escherian Stairwell is a viral video based on the Penrose stairs illusion. The video, filmed at Rochester Institute of Technology by Michael Lacanilao, was edited to create a seemingly cyclic stairwell such that if someone walks in either direction, they will end up where they started.^[8] The video claims that the stairwell, whose name evokes M.C. Escher's impossible objects, was built in the nineteen-sixties by the fictitious architect Rafael Nelson Aboganda.^[9] The video has been considered an Internet hoax, as individuals have travelled to Rochester Institute of Technology to view the staircase.^[9][10]

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See also[edit]

Notes[edit]

1. ^ ^abPenrose & Penrose 1958, pp. 31–33
2. ^Hallyn 2000, p. 172
3. ^Ernst 1992, p. 72
4. ^ ^abErnst 1992, pp. 71–72
5. ^ ^abErnst 1992, pp. 75, 78
6. ^IllusionWorks 1997
7. ^Ernst 1992, pp. 70–71
8. ^Schwartz, Heidi (17 May 2013). 'The Escherian Stairwell (Penrose Steps) How It Works'. Facility Executive - Creating Intelligent Buildings. Retrieved 18 April 2019.
9. ^ ^abBesner, Linda (6 May 2014). 'The Secret of the Impossible Stairwell'. Hazlitt. Retrieved 18 April 2019.
10. ^Mikkelson, David. 'FACT CHECK: Escherian Stairwell'. Snopes.com. Retrieved 18 April 2019.

References[edit]

• Deutsch, Diana (July 2010). 'The Paradox of Pitch Circularity'(PDF). Acoustics Today. 6 (3): 8–14. doi:10.1121/1.3488670. Retrieved March 16, 2011.
• Ernst, Bruno (1992). The Eye Beguiled: Optical Illusions. Benedikt Taschen. ISBN3-8228-9637-3.
• Hallyn, Fernand (2000). Metaphor and Analogy in the Sciences. Springer. ISBN978-0-7923-6560-0. Retrieved March 16, 2011.
• IllusionWorks (1997). 'Impossible Staircase'. Retrieved March 16, 2011.
• Penrose, L.S.; Penrose, R. (1958). 'Impossible objects: A special type of visual illusion'. British Journal of Psychology. 49: 31–33. doi:10.1111/j.2044-8295.1958.tb00634.x. PMID13536303.