The Möbius strip or Möbius band is a surface with only one side and only one boundary component. The Möbius strip has the mathematical property of being non-orientable. It can be realized as a ruled surface. It was discovered independently by the German mathematicians August Ferdinand Möbius and Johann Benedict Listing in 1858.
From the Einstein’s notebook:
Einstein’s search for general relativity spanned eight years, 1907-1915. Some periods were quiet and some were more intense. The moments when the great transition occurred, came sometime between the late summer of 1912, when Einstein moved from Prague to Zurich, and early 1913.
Source (and context): A Peek into Einstein’s Zurich Notebook, from the absolutely advisable page of Goodies by Professor John D. Norton, (Department of History and Philosophy of Science - University of Pittsburgh), from now in my bookmarks.
Using this formula, in 1761 Johann Heinrich Lambert showed that π is an irrational number.
Read more curiosity about π on the brief history of pi - part 2
Read also the italian Carnival of Mathematics #71 dedicated to the #piday
The martian mathematics by Harold Gluck, from The Many Ghosts of Dr. Graves v1 #3
The golden spiral is a logarithmic spiral whose growth factor is φ, the golden ratio. That is, a golden spiral gets wider (or further from its origin) by a factor of φ for every quarter turn it makes.
Read also: Mysterious number 6174
From magic squares and Möbius bands to magical card tricks and illusions, mysterious phenomena with elegant “Aha!” explanations have permeated mathematics for centuries. Such brain-teasing challenges promote creative and rational thinking, attract a wide range of people to the subject, and often inspire serious mathematical research.
The theme of Mathematics Awareness Month 2014 echoes the title of a 1956 book by renowned math popularizer Martin Gardner, whose extensive writings introduced the public to hexaflexagons, polyominoes, John Conway’s “Game of Life,” Penrose tiles, the Mandelbrot set, and much more. For more than half a century Gardner inspired enthusiasts of all ages to engage deeply with mathematics, and many of his readers chose to pursue it as a career. The year 2014 marks the centennial of Gardner’s birth.