Logarithmic Mugs

The «spira mirabilis» (wonderful spiral) is a particular logarithmic spiral described for the first time by René Descartes and subsequently paid attention to by the Swiss mathematician and scientist Jakob Bernoulli, whose curve wraps around the pole without however ever reaching the starting point. Its peculiarity lies in the fact that the spiral has neither beginning nor end and, despite the infinite evolutions and rotations, always remains similar to itself. Bernoulli's adjective "mirabilis" refers precisely to this self-similarity. For this reason, the mathematician wanted the spiral to be engraved on his tombstone together with the phrase "Eadem mutata resurgo" (Although different, I am reborn), to indicate the immortality of the soul

The Golden Spiral. Hope you like it.

Fibonacci

Funny call out for a pop quiz for a logarithmic function from math. A problem from College Algebra or Pre Calculus class.

Coming from one tiny seed, two Fibonacci spirals are interwoven in each other, both holding the divine proportions. This hypnotizing mesmerizing art is hand-drawn, thus giving the spirals natural energy and authenticity. Also available in black.

Hope you like it.

Coming from one tiny seed, two Fibonacci spirals are interwoven in each other, both holding the divine proportions. This hypnotizing mesmerizing art is hand-drawn, thus giving the spirals natural energy and authenticity. Also available in white.

A quick design.

Eternal Transformation - Bonsai Butterfly Spirit

Golden Spiral Tree - Sacred Geometry

Whip out your TI-87 calculator this e-Day, February 7, and spot the little button that bolsters logarithmic and exponential functions on the daily. While you may not be too familiar with e, you’re surely acquainted with its more famous cousin, pi. Just like pi, e is an inexplicably recurring number in the world of mathematics. It has a never-ending chain of decimal points, the beginning of which is 2.718281828, and on and on it goes. This holiday is celebrated on 2/7 for the obvious reason that the date holds the same digits as e rounded to the nearest tenth.

The «spira mirabilis» (wonderful spiral) is a particular logarithmic spiral described for the first time by René Descartes and subsequently paid attention to by the Swiss mathematician and scientist Jakob Bernoulli, whose curve wraps around the pole without however ever reaching the starting point. Its peculiarity lies in the fact that the spiral has neither beginning nor end and, despite the infinite evolutions and rotations, always remains similar to itself. Bernoulli's adjective "mirabilis" refers precisely to this self-similarity. For this reason, the mathematician wanted the spiral to be engraved on his tombstone together with the phrase "Eadem mutata resurgo" (Although different, I am reborn), to indicate the immortality of the soul

A vintage drawing of a spiral shell with a possible logarithmic formula for plotting the spiral.

Fibonacci spiral. Computer artwork of a spiral within squares whose sides decrease in length by a factor of 0.168. This number (phi) is derived from the golden ratio Phi (1.618). The spiral is formed by drawing a quarter circle in each box. It resembles that seen in nature, such as the shape of a snail's shell or the segmentation of a pine cone. The Fibonacci spiral was named after the Italian mathematician Leonardo Fibonacci (1170- 1230), and is also known as an equiangular or logarithmic spiral.

A spiral is related to Fibonacci numbers, the golden ratio, and the golden rectangle. The golden spiral.

Exponentially

Nautilus Shell - Phases of the moon

Eternal Transformation - Bonsai Butterfly Spirit

A way of pulling sine waves out of a complex addition of lots of different sine waves with different frequencies, amplitudes, and offsets ( using this fast algorithm called the FFT )