
All pictures from WinCrv  
Introduction 
The Hilbert Curve, named from the german mathmatician Hilbert, is a well known
fractal curve. 

Construction 
The first iteration gives the following picture: 

Properties 


Variations (using WinCrv) 


Author Biography 
Born: 23 Jan 1862 in Königsberg, Prussia (now Kaliningrad, Russia) Died: 14 Feb 1943 in Göttingen, Germany David Hilbert entered the University of Königsberg where he went on to study under Lindemann for his doctorate which he received in 1885. Hilbert was a member of staff at Königsberg from 1886 to 1895. In 1895,
Hilbert was appointed to the chair of mathematics at the University of
Göttingen, where he continued to teach for the rest of his career. Hilbert's first work was on invariant theory. In 1893 while still at
Königsberg Hilbert began a work on algebraic number theory. A systematic study of the axioms of Euclidean geometry led Hilbert to
propose 21 such axioms and he analysed their significance. Hilbert contributed to the development of mathematical physics by his important memoirs on kinetic gas theory and the theory of radiations and to many branches of mathematics, including invariants, algebraic number fields, functional analysis, integral equations, mathematical physics, and the calculus of variations. Hilbert's famous 23 problems challenged (and still today challenge) mathematicians to solve fundamental questions. Hilbert received many honours. In 1905 the Hungarian Academy of Sciences gave a special citation for Hilbert. In 1930 Hilbert retired and the city of Königsberg made him an honorary citizen of the city. He gave an address which ended with six famous words showing his enthusiasm for mathematics and his life devoted to solving mathematical problems: Wir müssen wissen, wir werden wissen  We must know, we shall know. Biography From School of Mathematics and Statistics  University of StAndrews, Scotland 