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Topic: Waclaw Sierpinski


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  Waclaw Sierpinski
Waclaw Franciszek Sierpiñski, was born on March 14, 1882 in Warsaw and died on October 21, 1969 in Warsaw.
Sierpinski enrolled in the Department of Mathematics and Physics at the University of Warsaw in 1899 and graduated four years later.
Waclaw Sierpinski is interred in the Powazki Cemetery, Warsaw, Poland.
publicliterature.org /en/wikipedia/w/wa/waclaw_sierpinski.html   (787 words)

  
 Wacław Sierpiński - Wikipedia, the free encyclopedia
Three well-known fractals are named after him (the Sierpinski triangle, the Sierpinski carpet and the Sierpinski curve), as are Sierpinski numbers and the associated Sierpiński problem.
Sierpinski was awarded a gold medal for his essay, thus laying the foundation for his first major mathematical contribution.
To avoid the persecution that was all too common for Polish foreigners, Sierpinski spent the rest of the war years in Moscow working with Luzin.
en.wikipedia.org /wiki/Waclaw_Sierpinski   (800 words)

  
 Waclaw Sierpinski   (Site not responding. Last check: 2007-10-21)
Waclaw Sierpinski attended school in Warsaw, where his talent for mathematics was quickly spotted by his teachers.
Sierpinski graduated in 1904 and worked for a while as a school teacher of mathematics and physics in a girls school in Warsaw.
Sierpinski continued working in the "Underground Warsaw University" while his official job was a clerk in the council offices in Warsaw.
www.stetson.edu /~efriedma/periodictable/html/Si.html   (611 words)

  
 Sierpinski carpet - Wikipedia, the free encyclopedia
The Sierpinski carpet is a plane fractal first described by Wacław Sierpiński.
The construction of the Sierpinski carpet begins with a square.
Martin Barlow and Richard Bass have shown that a random walk on the Sierpinski carpet diffuses at a slower rate than an unrestricted random walk in the plane.
en.wikipedia.org /wiki/Sierpinski_carpet   (243 words)

  
 Sierpinski   (Site not responding. Last check: 2007-10-21)
Sierpinski was awarded the gold medal in the competition for his dissertation.
Sierpinski was lucky for the lector changed the mark on his Russian language course to 'good' so that he could take his degree.
Sierpinski spoke of the tragic events of the war during a lecture he gave at the Jagiellonian University in Krakóv in 1945 (see [13]).
www-groups.dcs.st-and.ac.uk /~history/Mathematicians/Sierpinski.html   (1772 words)

  
 Waclaw Sierpinski
Waclaw Sierpinski was born on March 14, 1882, in Warsaw, Poland.
From 1908 to 1914 Sierpinski lectured at the University of Lvov, followed by three years at the University of Moscow.
Sierpinski's most important mathematical work was in the areas of set theory, point set topology, and number theory.
ecademy.agnesscott.edu /~lriddle/ifs/siertri/sierbio.htm   (173 words)

  
 Sierpinski gasket   (Site not responding. Last check: 2007-10-21)
The Sierpinski gasket is a base motif fractal where the base is a triangle.
The curve is also known as the Sierpinski triangle or as the Sierpinski triangle curve.
Waclaw Sierpinski (1882-1969), a Polish mathematician, described the construction to give an example of a curve simultaneously Cantorian and Jordanian, of which every point is a point of ramification.
www.2dcurves.com /fractal/fractalg.html   (181 words)

  
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Sierpinski attended the University of Warsaw in 1899, when all classes were taught in Russian.
Sierpinski is viewed as one of the greatest Polish mathematicians ever.
The fractal dimension of the Sierpinski gasket is df= log3/log2.
www.facstaff.bucknell.edu /udaepp/090/w3/toddw.htm   (1394 words)

  
 What is Waclaw Sierpinski? : Abaara fun facts and uncommon knowledge   (Site not responding. Last check: 2007-10-21)
Sierpinski carpet), as are Sierpinski numbers and the associated Sierpinski problem.
Sierpinski enrolled in the Department of Mathematics and Physics at the
To avoid the persecution that was all too common for Polish foreigners, Sierpinski spent the rest of the war years in
www.abaara.com /pac/Waclaw_Sierpinski   (742 words)

  
 References for Sierpinski   (Site not responding. Last check: 2007-10-21)
R Engelking, The papers of Waclaw Sierpinski in topology (Polish), Wiadomosci matematyczne 26 (1) (1984), 18-24.
A Schinzel, A biography of Waclaw Sierpinski (Polish), Wiadomosci matematyczne (2) 12 (1971), 303-308.
A Schinzel, The role of Waclaw Sierpinski in the history of Polish mathematics (Polish), Wiadomosci matematyczne 26 (1) (1984), 1-9.
www-groups.dcs.st-and.ac.uk /~history/References/Sierpinski.html   (226 words)

  
 [ wu :: fractals | sierpinski ]
Polish mathematician Waclaw Sierpinski (1882-1969) worked in the areas of set theory, topology and number theory, and made important contributions to the axiom of choice and continuum hypothesis.
But he is best known for the fractal that bears his name, the Sierpinski triangle, which he introduced in 1916.
The Sierpinski triangle, sometimes referred to as the Sierpinski gasket, is a simple iterated function system that often serves as the first example of a fractal given to elementary school or high school students.
www.ocf.berkeley.edu /~wwu/fractals/sierpinski.html   (416 words)

  
 Sierpinski Pyramid
The Sierpinski pyramid is inspired by the two dimensional Sierpinski "gasket" described in Chaos and Fractals: New Frontiers of Science by Peitgen, Jurgens and Saupe, Springer Verlag 1992.
Waclaw Sierpinski (1882-1969) was a professor at Lvov and Warsaw.
The Sierpinski pyramid is a three dimensional version of the one dimensional Sierpinski gasket.
www.bearcave.com /dxf/sier.htm   (604 words)

  
 Sierpinski Curve   (Site not responding. Last check: 2007-10-21)
Waclaw Sierpinski also generated a plane-filling Peano curve.
While the Hilbert curve is an open curve, the Sierpinski curve is closed; it bounds an area that is 5/12 that of the square it fills.
Like the Hilbert curve, the Sierpinski curve is also the limit of an infinite series of curves.
home.comcast.net /~davebowser/fractals/sierpinski.html   (383 words)

  
 Sierpinski curve   (Site not responding. Last check: 2007-10-21)
The Sierpinski curve is a base motif fractal where the base is a square.
The curve is also known as the Sierpinski (universal plane) curve, Sierpinski square or the Sierpinski carpet.
The curve is the only plane locally connected one-dimensional continuum S such that the boundary of each complementary domain of S is a simple closed curve and no two of these complementary domain boundaries intersect.
www.2dcurves.com /fractal/fractals.html   (241 words)

  
 sierpinskitree info window   (Site not responding. Last check: 2007-10-21)
Sierpinski was a professor at Lvov and Warsaw.
/ \ / \ / \ / \ The Sierpinski tree is closely related to the class of fractals called Sierpinski Carpets which includes the famous Sierpinski Triangle or as it is usually called The Sierpinski Gasket.
However connectedness is apparent from the way Sierpinski tree is generated; at each iteration the set is connected.
ccl.northwestern.edu /cm/models/sierpinskitree/info.html   (328 words)

  
 Mrs. Tate's Fractals WebQuest TeacherWeb Sierpinski Triangle   (Site not responding. Last check: 2007-10-21)
Turn of the century mathematician Waclaw Sierpinski's name was given to several fractal objects, the most famous being his Triangle or Gasket.
Use this Sierpinski fractal applet and select different color combinations as you move from one iteration to the next.
The Sierpinski Gasket Maker at the next site can be used to explore generalizations to the Sierpinski shapes in which you can specify both a movement probability and a rotation.
teacherweb.com /FL/CollierWebQuests/Fractals/wqr3.stm   (322 words)

  
 Math Forum - Ask Dr. Math   (Site not responding. Last check: 2007-10-21)
Date: 01/15/97 at 10:28:11 From: Anonymous Subject: Sierpinski Triangle Hi, My name is Ryan and I would like to ask you a question.
It means there are two ways to think about making Sierpinski's gasket, and these two ways, as you will see, seem to contradict each other.
A figure whose dimension is not a whole number is called a `fractal'; Sierpinski's gasket is one of the oldest known fractals.
mathforum.org /library/drmath/view/54524.html   (409 words)

  
 Sierpinski Triangle   (Site not responding. Last check: 2007-10-21)
Rather than try to re-build comprehensive university programs in several areas of research, Sierpinski, Kuratowski, Banach and others decided to work together in the emerging field of abstract spaces.
As early as 1915, Sierpinski described a "gasket" or a "triangle" with repeated and proportionally reduced areas.
Today these shapes are widely known as "fractals." Sierpinski's triangles would later emerge to be among the most recognizable shapes or patterns in all computer graphics.
curvebank.calstatela.edu /sierpinski/sierpinski.htm   (218 words)

  
 Sierpinski carpet   (Site not responding. Last check: 2007-10-21)
A three-dimensional version of the Sierpinski carpet is the Menger sponge, invented by Karl Menger and sometimes mistakenly called a Sierpinski sponge.
For an HTML approach of approximating a Sierpinski carpet, see dive into mark.
In recent years, the topic of Brownian motion on the Sierpinski carpet (together with random walk on an appropriate discrete version of the carpet) has attracted much scientific interest.
www.worldhistory.com /wiki/S/Sierpinski-carpet.htm   (323 words)

  
 Waclaw Sierpinski - Encyclopedia.WorldSearch   (Site not responding. Last check: 2007-10-21)
However when the school closed because of a strike, Sierpinski decided to go to Kraków to pursue doctorate.
Waclaw Sierpinski is interred in the Powązki Cemetery, Warsaw, Poland.
Contemporary Authors : Biography - Sierpinski, Waclaw (1882-1969)
encyclopedia.worldsearch.com /waclaw_sierpinski.htm   (822 words)

  
 Sierpinski problem   (Site not responding. Last check: 2007-10-21)
The Sierpinski problem consists in determining the smallest Sierpinski number.
In 1962, John Selfridge discovered the Sierpinski number k = 78557, which is now believed to be in fact the smallest such number.
This summary describes developments in the computational approach to a possible "solution" of the Sierpinski problem, from the earliest attempts in the late 1970ies until November 2002, and gives a comprehensive status of results known at that point.
www.prothsearch.net /sierp.html   (588 words)

  
 efg's Fractals And Chaos -- Sierpinski Triangle Lab Report
Polish mathematician Waclaw Sierpinski introduced the "Sierpinski Gasket" in 1915.
A Sierpinski Triangle can be formed in a variety of other ways.
At this time an old DOS version of this technique is available in the "Language of Patterns" program, which was originally written for the Maryland Science Center.
www.efg2.com /Lab/FractalsAndChaos/SierpinskiTriangle.htm   (659 words)

  
 Math Trek: A Remarkable Dearth of Primes, Science News Online, Jan. 11, 2003   (Site not responding. Last check: 2007-10-21)
With five Sierpinski candidates cracked in rapid succession, there are only 12 more to go.
But, despite the encouraging start, it may take as long as a decade, with lots of additional participants, to finish off all of the remaining candidates and close the book on another nagging conjecture in number theory.
Additional information about Sierpinski numbers can be found at http://primes.utm.edu/glossary/page.php?sort=SierpinskiNumber and http://mathworld.wolfram.com/SierpinskiNumberoftheSecondKind.html.
www.sciencenews.org /20030111/mathtrek.asp   (660 words)

  
 Waclaw Sierpinski History Summary   (Site not responding. Last check: 2007-10-21)
Polish mathematician who produced 724 papers and 50 books on the subject of mathematics.
At a time when the Russians were aiming their efforts at keeping the Poles illiterate and generally uninformed, Sierpinski entered the Department of Mathematics and Physics at the University of Warsaw, where he proved to be an outstanding student, winning the department's gold medal for a dissertation on Voronoy's contribution to number theory.
Sierpinski received dozens of medals, awards, and honors from the Royal Societies of most of the European nations, and founded several publications, among them the Fundamenta Mathematicae, which is important to this day.
www.bookrags.com /history/sciencehistory/waclaw-sierpinski-scit-06123   (132 words)

  
 Waclaw Sierpinski
The famous Sierpinski Gasket constitutes an early awareness of fractal geometry.
Sierpinski has been described as "the greatest and most productive of Polish mathematicians."
Submit a correction or make a comment about this profile
www.nndb.com /people/106/000030016   (54 words)

  
 counting Waclaw Sierpinski   (Site not responding. Last check: 2007-10-21)
When I was young in Poland I met the great mathematician Waclaw Sierpinski.
Some minutes later she returned, presumably having called for a taxi.
Sierpinski (possibly with a glint in his eye): "I thought you said there were ten trunks, but I've only counted to nine."
facstaff.bloomu.edu /bobmon/readings/sierpinski-counting.html   (187 words)

  
 Sierpinski Curve for the KVM   (Site not responding. Last check: 2007-10-21)
The Sierpinski curve, proposed by Waclaw Sierpinski, is a plane-filling, non-intersecting fractal.
I've written a small KVM program that draws Sierpinski curve approximations of orders 1-5.
This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License.
home.comcast.net /~davebowser/palm/sierpinski.html   (143 words)

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