A pseudometric is a symmetric function: if ρ is a pseudometric on a set X, then ρ(x,y)=ρ(y,x) for all x,y∈X. This means that if τ is the topology on X generated by ρ, and x,y∈X, then
x∈clτ{y} if and only if y∈clτ{x}.This is not the case with the Sierpiński space, however: in that we have 0∈clτ{1}, not 1∉clτ{0}. Thus, the Sierpiński topology on {0,1} cannot be generated by a pseudometric.
The Sierpinski triangle (also with the original orthography Sierpiński), also called the Sierpinski gasket or the Sierpinski Sieve, is a fractal and attractive fixed set named after the Polish mathematician Wacław Sierpiński who described it in 1915.
do it
Sierpinski's Triangle Sierpinski's Carpet The Wheel of Theodorus Mandelbrot Julia Set Koch Snowflake ...Just to name a few(:
Yes. If you mark the odd numbers in Pascal's Triangle, it would form Sierpinski's Gasket.
Sierpinski gasket
Waclaw Sierpinski!!!!!!!!!!!!!!! how can't you find this out!
Sierpinski refers to Waclaw Sierpinski, a Polish mathematician who made significant contributions to topology, number theory, and set theory. He is particularly known for his work on the Sierpinski triangle and the Sierpinski sieve, which are named after him. He also made important contributions to the theory of functions and the theory of interpolation.
Waclaw Sierpinski was born on March 14, 1882.
The Sierpinski triangle (also with the original orthography Sierpiński), also called the Sierpinski gasket or the Sierpinski Sieve, is a fractal and attractive fixed set named after the Polish mathematician Wacław Sierpiński who described it in 1915.
do it
Well a Sierpinski Triangle is a triangle mad up of 69 small triangles.
It has six.
Waclaw Sierpinski was born on March 14, 1882 and died on October 21, 1969. Waclaw Sierpinski would have been 87 years old at the time of death or 133 years old today.
Sierpinski's Triangle Sierpinski's Carpet The Wheel of Theodorus Mandelbrot Julia Set Koch Snowflake ...Just to name a few(:
Yes. If you mark the odd numbers in Pascal's Triangle, it would form Sierpinski's Gasket.
Sierpinski gasket
Waclaw Sierpinski was born on March 14, 1882.