Piet Hein (scientist)
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Piet Hein (16 December 1905 – 17 April 1996) was a Danish
polymath A polymath or polyhistor is an individual whose knowledge spans many different subjects, known to draw on complex bodies of knowledge to solve specific problems. Polymaths often prefer a specific context in which to explain their knowledge, ...
(mathematician, inventor, designer, writer and poet), often writing under the
Old Norse Old Norse, also referred to as Old Nordic or Old Scandinavian, was a stage of development of North Germanic languages, North Germanic dialects before their final divergence into separate Nordic languages. Old Norse was spoken by inhabitants ...
pseudonym Kumbel, meaning "
tombstone A gravestone or tombstone is a marker, usually stone, that is placed over a grave. A marker set at the head of the grave may be called a headstone. An especially old or elaborate stone slab may be called a funeral stele, stela, or slab. The us ...
". His short poems, known as '' gruks'' or grooks (), first started to appear in the daily newspaper ''
Politiken ''Politiken'' is a leading Danish daily broadsheet newspaper, published by JP/Politikens Hus in Copenhagen, Denmark. It was founded in 1884 and played a role in the formation of the Danish Social Liberal Party. Since 1970 it has been indepe ...
'' shortly after the German
occupation of Denmark At the outset of World War II in September 1939, Denmark declared itself Neutral countries in World War II, neutral, but that neutrality did not prevent Nazi Germany from Military occupation, occupying the country soon after the outbreak of ...
in April 1940 under the pseudonym "Kumbel Kumbell". He also invented the
Soma cube The Soma cube is a mechanical puzzle#Assembly, solid dissection puzzle invented by Danish polymath Piet Hein (scientist), Piet Hein in 1933 during a lecture on quantum mechanics conducted by Werner Heisenberg. Seven different Polycube, pieces ...
and the board game Hex.


Biography

Hein, a direct descendant of Piet Pieterszoon Hein, the 17th century Dutch naval figure, was born in
Copenhagen Copenhagen ( ) is the capital and most populous city of Denmark, with a population of 1.4 million in the Urban area of Copenhagen, urban area. The city is situated on the islands of Zealand and Amager, separated from Malmö, Sweden, by the ...
,
Denmark Denmark is a Nordic countries, Nordic country in Northern Europe. It is the metropole and most populous constituent of the Kingdom of Denmark,, . also known as the Danish Realm, a constitutionally unitary state that includes the Autonomous a ...
. He studied at the Institute for Theoretical Physics (later to become the
Niels Bohr Institute The Niels Bohr Institute () is a research institute of the University of Copenhagen. The research of the institute spans astronomy, geophysics, nanotechnology, particle physics, quantum mechanics, and biophysics. Overview The institute was foun ...
) of the
University of Copenhagen The University of Copenhagen (, KU) is a public university, public research university in Copenhagen, Copenhagen, Denmark. Founded in 1479, the University of Copenhagen is the second-oldest university in Scandinavia, after Uppsala University. ...
, and
Technical University of Denmark The Technical University of Denmark (), often simply referred to as DTU, is a polytechnic university and school of engineering. It was founded in 1829 at the initiative of Hans Christian Ørsted as Denmark's first polytechnic, and it is today ran ...
.
Yale Yale University is a private Ivy League research university in New Haven, Connecticut, United States. Founded in 1701, Yale is the third-oldest institution of higher education in the United States, and one of the nine colonial colleges ch ...
awarded him an honorary doctorate in 1972. He died in his home on
Funen Funen (, ), is the third-largest List of islands of Denmark, island of Denmark, after Zealand and North Jutlandic Island, Vendsyssel-Thy, with an area of . It is the List of islands by area, 165th-largest island in the world. It is located in th ...
,
Denmark Denmark is a Nordic countries, Nordic country in Northern Europe. It is the metropole and most populous constituent of the Kingdom of Denmark,, . also known as the Danish Realm, a constitutionally unitary state that includes the Autonomous a ...
in 1996.


Resistance

Piet Hein, who, in his own words, "played mental ping-pong" with
Niels Bohr Niels Henrik David Bohr (, ; ; 7 October 1885 – 18 November 1962) was a Danish theoretical physicist who made foundational contributions to understanding atomic structure and old quantum theory, quantum theory, for which he received the No ...
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 The Danish resistance movements () were an underground insurgency to resist the German occupation of Denmark during World War II. Due to the initially lenient arrangements, in which the Nazi occupation authority allowed the democratic govern ...
. 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." Taking as his first weapon the instrument with which he was most familiar, the pen, he wrote and had published his first " grook" (). It passed the censors who did not grasp its real meaning. The ''Consolation Grook'' reads: 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. One of Hein's best-known grooks is ''A Maxim for Vikings'': A MAXIM FOR VIKINGS Here is a fact that should help you fight a bit longer: Things that don't act- ually kill you outright make you stronger.


Recreational mathematics

In 1959, city planners in
Stockholm Stockholm (; ) is the Capital city, capital and List of urban areas in Sweden by population, most populous city of Sweden, as well as the List of urban areas in the Nordic countries, largest urban area in the Nordic countries. Approximately ...
,
Sweden Sweden, formally the Kingdom of Sweden, is a Nordic countries, Nordic country located on the Scandinavian Peninsula in Northern Europe. It borders Norway to the west and north, and Finland to the east. At , Sweden is the largest Nordic count ...
announced a design challenge for a
roundabout A roundabout, a rotary and a traffic circle are types of circular intersection or junction in which road traffic is permitted to flow in one direction around a central island, and priority is typically given to traffic already in the junct ...
in their city square Sergels Torg. Piet Hein's winning proposal was based on a
superellipse A superellipse, also known as a Lamé curve after Gabriel Lamé, is a closed curve resembling the ellipse, retaining the geometric features of semi-major axis and semi-minor axis, and symmetry about them, but defined by an equation that allows ...
. 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 The Soma cube is a mechanical puzzle#Assembly, solid dissection puzzle invented by Danish polymath Piet Hein (scientist), Piet Hein in 1933 during a lecture on quantum mechanics conducted by Werner Heisenberg. Seven different Polycube, pieces ...
and devised the games of Hex, Tangloids, Tower, Polytaire, TacTix, Nimbi, Qrazy Qube, and Pyramystery. Hein was a close associate of
Martin Gardner Martin Gardner (October 21, 1914May 22, 2010) was an American popular mathematics and popular science writer with interests also encompassing magic, scientific skepticism, micromagic, philosophy, religion, and literatureespecially the writin ...
and his work was frequently featured in Gardner's
Mathematical Games column Over a period of 24 years (January 1957 – December 1980), Martin Gardner wrote 288 consecutive monthly "Mathematical Games" columns for ''Scientific American'' magazine. During the next years, until June 1986, Gardner wrote 9 more columns, br ...
in
Scientific American ''Scientific American'', informally abbreviated ''SciAm'' or sometimes ''SA'', is an American popular science magazine. Many scientists, including Albert Einstein and Nikola Tesla, have contributed articles to it, with more than 150 Nobel Pri ...
. 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.


See also

*
Flipism Flipism, sometimes spelled "flippism", is a personal philosophy under which Decision making, decisions are made by Coin flipping, flipping a coin. It originally appeared in the ''Donald Duck'' Disney comics, Disney comic "Flip Decision" by Carl Bar ...


Personal

Piet Hein was married four times and had five sons from his last three marriages. # (1937) married Gunver Holck, divorced # (1942) married Gerda Ruth (Nena) Cohnheim, divorced #: Sons: Jan Alvaro Hein, born 9 January 1943; Anders Humberto Hein, born 30 December 1943 # (1947) married Anne Cathrina (Trine) Krøyer Pedersen, divorced #: Son: Lars Hein, born 20 May 1950 # (1955) married Gerd Ericsson, who died 3 November 1968 #: Sons: Jotun Hein, born 19 July 1956; Hugo Piet Hein, born 16 November 1963


Bibliography

* ''Grooks'' – 20 volumes, originally published between 1940 and 1963, all currently out-of-print. * ''Grooks'' (1966) * ''Grooks 2'' (1968) * ''Grooks 3'' (1970) * ''Grooks 4'' (1972) * ''Grooks 5'' (1973) * ''Grooks 6'' (1978) * ''Grooks 7'' (1984) The following books of grooks are available on this subpage of the website * Collected Grooks I * Collected Grooks II * Runaway Runes: Short Grooks I * Viking Vistas: Short Grooks II


References


Other References

* Gardner, Martin: ''Piet Hein's Superellipse.'' – in Gardner, Martin: ''Mathematical Carnival. A New Round-Up of Tantalizers and Puzzles from
Scientific American ''Scientific American'', informally abbreviated ''SciAm'' or sometimes ''SA'', is an American popular science magazine. Many scientists, including Albert Einstein and Nikola Tesla, have contributed articles to it, with more than 150 Nobel Pri ...
''. New York: Vintage, 1977, pp. 240–254. * Johan Gielis: ''Inventing the circle. The geometry of nature''. – Antwerpen : Geniaal Press, 2003. – * "A Poet with a Slide Rule: Piet Hein Bestrides Art and Science," by Jim Hicks, ''
Life Magazine ''Life'' (stylized as ''LIFE'') is an American magazine launched in 1883 as a weekly publication. In 1972, it transitioned to publishing "special" issues before running as a monthly from 1978 to 2000. Since then, ''Life'' has irregularly publi ...
'', 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''.


External links

* *, including several sample grooks
Superellipse
at
MathWorld ''MathWorld'' is an online mathematics reference work, created and largely written by Eric W. Weisstein. It is sponsored by and licensed to Wolfram Research, Inc. and was partially funded by the National Science Foundation's National Science ...

Grooks
at My Poetic Side

at Archimedes' Lab {{DEFAULTSORT:Hein, Piet 1905 births 1996 deaths 20th-century Danish inventors 20th-century Danish poets Danish male poets Recreational mathematicians Danish furniture designers 20th-century Danish mathematicians Puzzle designers University of Copenhagen alumni Yale University alumni Designers from Copenhagen Writers from Copenhagen Danish people of Dutch descent 20th-century Danish male writers Grut Hansen family