Piet Hein (16 December 1905 – 17 April 1996) was a
Danishpolymath (mathematician, inventor, designer, writer and poet), often writing under the
Old Norse pseudonym Kumbel, meaning "
tombstone". His short poems, known as gruks or grooks (
Danish: gruk), first started to appear in the daily newspaper Politiken shortly after the German
occupation of Denmark in April 1940 under the pseudonym "Kumbel Kumbell".[1] He also invented the
Soma cube and the board game
Hex.
Piet Hein, who, in his own words, "played mental ping-pong" with
Niels Bohr[2] in the inter-War period, found himself confronted with a dilemma when the Germans occupied Denmark. He felt that he had three choices: Do nothing, flee to neutral Sweden or join the
Danish resistance movement. As he explained in 1968, "Sweden was out because I am not Swedish, but Danish. I could not remain at home because, if I had, every knock at the door would have sent shivers up my spine. So, I joined the Resistance."[3]
Taking as his first weapon the instrument with which he was most familiar, the pen, he wrote and had published his first "
grook" (
Danish: gruk). It passed the censors who did not grasp its real meaning.
CONSOLATION GROOK
Losing one glove
is certainly painful,
but nothing
compared to the pain
of losing one,
throwing away the other,
and finding
the first one again.
The Danes, however, understood its importance and soon it was found as graffiti all around the country. The deeper meaning of the grook was that even if you lose your freedom ("losing one glove"), do not lose your patriotism and self-respect by collaborating with the Nazis ("throwing away the other"), because that sense of having betrayed your country will be more painful when freedom has been found again someday.
Recreational mathematics
In 1959, city planners in
Stockholm,
Sweden announced a design challenge for a
roundabout in their city square
Sergels Torg. Piet Hein's winning proposal was based on a
superellipse.[4] He went on to use the superellipse in the design of furniture and other artifacts. He also invented a
perpetual calendar called the Astro Calendar and marketed
housewares based on the superellipse and its three-dimensional analog, the
superegg.
He invented the
Soma cube and devised the games of
Hex,
Tangloids, Tower, Polytaire,
TacTix, Nimbi, Qrazy Qube, and Pyramystery.
Hein was a close associate of
Martin Gardner and his work was frequently featured in Gardner's
Mathematical Games column in
Scientific American.[5] At the age of 95, Gardner wrote his autobiography and titled it Undiluted Hocus-Pocus. Both the title and the dedication of this book come from one of Hein's grooks.[6]
^piethein.comArchived 4 August 2010 at the
Wayback Machine "For a long time they appeared under the signature Kumbel Kumbell. Here is the reason why: Piet is the Dutch form of the name Peter or Petrus, which means rock, stone, and Hein is a way of spelling 'hen', the old Danish word for a whetstone. 'Kumbel', or 'kumbl' as it strictly speaking should be written, also means stone, though more a grave monument. In other words, Piet Hein, or Stone Stone can, in a way, be translated by Kumbel Kumbel. He originally wrote the second word with two Ls, also later the signature became just Kumbel – the name he is at least as well known by as his own."
Gardner, Martin: Piet Hein's Superellipse. – in Gardner, Martin: Mathematical Carnival. A New Round-Up of Tantalizers and Puzzles from
Scientific American. New York: Vintage, 1977, pp. 240–254.
Johan Gielis: Inventing the circle. The geometry of nature. – Antwerpen : Geniaal Press, 2003. –
ISBN90-807756-1-4
"A Poet with a Slide Rule: Piet Hein Bestrides Art and Science," by Jim Hicks, Life Magazine, Vol. 61 No. 16, 10/14/66, pp. 55–66
"Piet Hein Biographical Details", by Nils Aas, tr. by Roger Stevenson. The Papers of the Medford Educational Institute 3.
"To and by Piet Hein on the Occasion of Piet Hein's Election as the Student Organization's Twelfth Honorary Member", tr. by Roger Stevenson. The Papers of the Medford Educational Institute 2.