### A deltoid rolling on a cardioid

via @republicofmath**Read also**: Rolling hypocycloids

*Vagrant Moth 3: A Place Of No Echos* by **Illusive Mind Gypsy Crew**

Cover art by **Devin Reimer**

TheMöbius stripor 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 mathematiciansAugust Ferdinand MöbiusandJohann Benedict Listingin 1858.

via reality-breaker

From the Einstein’s notebook:

Look at

Albert Einsteinworking in hisTheory of General Relativityin Zurich:

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 ofGoodiesbyProfessor John D. Norton, (Department of History and Philosophy of Science - University of Pittsburgh), from now in my bookmarks.

via scienceisbeauty

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

… but … **Georg Cantor** punched the math, and now we have the transfinite numbers

Thegolden spiralis 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.

The **Kaprekar’s constant**, 6174, is a number named after the indian mathematician **Dattaraya Ramchandra Kaprekar**. It is the fixed point of the following procedure, the *Kaprekar’s routine*:

- Take any four-digit number, using at least two different digits. (Leading zeros are allowed.)
- Arrange the digits in ascending and then in descending order to get two four-digit numbers, adding leading zeros if necessary.
- Subtract the smaller number from the bigger number.
- Go back to step 2. The procedure reach 6174 in at most 7 iterations: once 6174 is reached, the process will continue yielding 7641 – 1467 = 6174.

**Read also**: Mysterious number 6174

**Mathematics Awareness Month 2014: Mathematics, Magic, and Mystery**

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.