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Impossible Figures
An
impossible figure
is a two-dimensional perspective drawing of a figure that cannot exist in three
dimensions. The arrangement of cubes on page 122 is based on an impossible figure drawn by
Swedish artist Oscar Reutersvärd in 1934. This drawing is thought to be the first impossible figure
ever devised. Reutersvärd devoted his career to impossible figures.
The
Penrose Triangle
(pages 36 and 126) is closely related to Reutersvärd's triangle of cubes, but it
was created independently by physicist Roger Penrose in 1954. The
Penrose Stairway
(page 63)
was created in the mid 1950s by geneticist and psychiatrist Lionel Penrose, the father of Roger
Penrose. The Penrose stairway forms the basis of M. C. Escher's famous lithograph
Ascending and
Descending
(1960).
The
Three-Stick Clevis
(pages 59 and 200) is also known by many other names, such as
Widgit,
Poiuyt
, and
Impossible Trident
. Its origins are unknown, but it dates back at least to 1964, when D.
H. Schuster wrote an article about it in the
American Journal of Psychology
. The clevis also graced
the cover of the March 1965 issue of
MAD Magazine
, held aloft by a smiling Alfred E. Neuman.
The
Ambihelical Hex Nut
(pages 154 and 249) and the
Impossible Ring
(pages 109 and 164) are two
more impossible figures of unknown origin.
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