Penrose Stairs and Escher's "Ascending and Descending"

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Penrose stairs (or Penrose steps) is an impossible object created by Oscar Reutersvärd in 1937.  Later, independently discovered and made popular by Lionel Penrose and his son Roger Penrose.

It is a variation on the Penrose Triangle.
Refer to this link:
https://onemanadreaming.blogspot.com/2023/06/penrose-triangle.html

The "continuous staircase" was first presented in an article that the Penroses wrote in 1959, based on the Penrose Triangle published by Roger Penrose in the British Journal of Psychology in 1958.

M. C. Escher 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.

Escher developed the theme further in his print Waterval (Watefall), which appeared in 1961.
Refer to this link:
https://onemanadreaming.blogspot.com/2009/10/maurits-eschers-waterfall.html

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Fork / Trident

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Illogical / impossible objects

Escheresque fork / trident

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Escheresque shelf

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Illogical / impossible objects

Escheresque shelves

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Escheresque 3-D chess

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Escheresque 3-D chess !

Escher would be proud of this chessboard.

How the illusion is created:

Artist & photo credit: Elber Gershon


Another example on the same theme is a terrace in this link:
https://onemanadreaming.blogspot.com/2009/10/eschers-terrace.html

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Penrose Triangle

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Penrose Triangle
Also known as the Impossible Triangle

It is an optical illusion of an illogical triangle.
Can be drawn on paper.
But cannot exist as a proper solid object.

First created by Swedish artist Oscar Reutersvärd in 1934, and independently devised and popularized in the 1950s by psychiatrist Lionel Penrose and his son, prominent Nobel Prize-winning mathematician Sir Roger Penrose.

Roger Penrose described it as "impossibility in its purest form".

It was featured prominently in the works of Dutch artist M C Escher (1898-1972), whose earlier depictions of impossible objects partly inspired the Penrose Triangle.

Some of the Escheresque drawings / objects are in this link:
http://onemanadreaming.blogspot.com/search/label/Escher


1)  Penrose Triangle, an illusion only, not possible as a 3-D object.

2)  How to create an illusion of Penrose Triangle

Source: Wikipedia

3)  Penrose Triangle sulpture, East Perth, WA, Australia

Source: Wikipedia

4)  Penrose Triangle sculpture, Gotschuchen, Austria

Source: Wikipedia

5)  Penrose Triangle

6)  Penrose Triangle

Source: Wikipedia

7)  Penrose Triangle

8)  Penrose Triangle

9)  Penrose Triangle

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Ambihelical Hexnut

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This nut is called Ambihelical Hexnut.

What is the nut for ?

It is in the blueprint in the display stand
on the left half of above pic.

The blueprint itself is in this link:
http://onemanadreaming.blogspot.com/2014/05/can-you-make-this.html



Ambihelical Hexnut
   An illusion only
   Can be drawn on paper
   Not possible as a 3-D object

To create an illusion of the Ambihelical Hexnut:

Artist & photo credit: Elber Gershon

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https://mntviews.blogspot.com/

Cycling through autumn leaves

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Cycling through a street full of autumn leaves !
An ingenious Escheresque drawing !

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Can you make this?

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For all you budding engineers:

Can you create these Escheresque building parts
from the blueprint ?
    - 3.1416 ambihelical hexnut
    - 1 rectabular excursion bracket
    - 1 trichotometric indicator support

The parts are:

More on the above ambihelical hexnut:
http://onemanadreaming.blogspot.com/2023/06/ambihelical-hexnut.html

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https://mntviews.blogspot.com/

Maurits Escher's "Day and Night"

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Maurits Escher's "Day and Night"

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Maurits Escher's "Waterfall"

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How to create a perpetual motion machine
with Maurits Escher's Waterfall

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Escher would be proud of this terrace

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Escheresque terrace

Another example on the same theme
is a chess board in this link:
https://onemanadreaming.blogspot.com/2023/06/escheresque-3-d-chess.html

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Please visit my main page at
https://mntviews.blogspot.com/