Waclaw Franciszek Sierpinski
Waclaw Francizek Sierpinski was a Polish mathematician that was born in 1882 and died in 1969.
The most well known fractal made by Sierpinski is the Sierpinski
triangle. He also invented the Sierpinski cube, carpet, pyramid, and
arrowhead curve. Waclaw was born in Warsaw, Poland. He introduced
the Sierpinski triangle theory in 1916. He also had a degree in
philosophy. He wrote more than 700 papers and 50 books. One of the
craters on the moon is named after him. The Menger sponge is based on
the Sierpinski carpet. It is basically the 3-D version of the carpet.
He was a speaker on International Congress in 1932. Sierpinski was
also an honorary member of the London Mathematical Society in 1964.
He studied his curve and discovered that the length of the curve goes
on forever. He was associated with the advancement of mathematics.
Sierpinski was awarded many honorary degrees from different
universities.
Pythagoras
Pythagoras was born in 569
B.C. and he died in 500 B.C. He is often described as the first true
mathematician. He was noted to have said “All things are numbers”.
He was a religious person and wouldn't drink alcohol.
He invented the Pythagorean theorem which is what the Pythagoras tree
is modeled after. The tree is named after him. In order to join his
social circle you had to be silent for five years before contributing
ideas. Pythagoras figured out how string instruments work.
Pythagoras' group was the first to consider that the earth revolved
around the sun. Pythagoras was a healer, wrestler, and politically
active. He traveled a lot in Egypt and learned math, astronomy, and
music there. Nothing of Pythagoras' works is still around unlike
later Greek mathematicians. He died in Metapontion. He founded a
philosophical and religious school in Croton (which is now known as
Crotone). The most valuable arts to
Pythagoras were music and medicine.
Niels Fabian Helge von Koch
Niels Fabian Helge von Koch created the Koch snowflake (also known as the Koch star) Koch
anti-flake, and the Koch island. He was born in 1870 and died in
1924. 
Von Koch was a Swedish mathematician. The Koch snowflake is
important in the study of fractal geometry. He went to school at
Stockholm University in 1911. He was born into a family of Swedish
nobility. His father Richart Vogt was in the military. The Koch
snowflake was one of the earliest fractal curves. His teacher at
Stockholm was Gosta Mittag-Leffler. Also, he based his knowledge on
Poincare's work. He ended up being a professor at Stockholm
University later on in his life. Koch is best known for the Koch
curve. His grandfather Nils Samuel von Koch was the Attorney- General
of Sweden. He wrote more on the prime number theorem and was an
expert on the number theory. The von Koch curve is made by taking an
equilateral triangle and attaching another to each side. This
produces a Star of David type shape. He wrote a book on the prime
number theorem in 1910. Von Koch wrote several papers pn the number
theory.
Ernesto Cesaro
Ernesto Cesaro was an
Italian mathematician. His father was Luigi Cesaro. He was born in
Naples in 1859 and died in 1906. 
His family lived on a farm in Torre
Annunziata. He was poor when he was young. He received a doctorate
from the University of Rome in 1887. He was a professor in a couple
different colleges. He worked on differential geometry. Mandelbrot
used the Cesaro curve in his work on fractals. Besides differential
geometry he also worked on physics. Ernesto lived in Rome. He died on
his half birthday. While he was in Paris he invented “intrinsic
geometry”. Cesaro extended his work to study the Koch curve. He
wrote two very successful calculus papers.
Cesaro died tragically. His teenage son went swimming in the sea and
was met with hostile waters and Cesaro went to save his son but got injuries that led to his
death. He studied at the Ecole des Mines in Liege, Belgium. He was a
professor of high algebra at the University of Palermo. Then he was a
professor of mathematical analysis in Naples. Cesaro interpreted
some of James Clerk Maxwell's work.