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The Fibonacci Spiral Clock.

135,661 просмотров • 2 дней назад •via X (Twitter)

Комментарии: 15

Фото профиля ツ Lord Ori
ツ Lord Ori2 дней назад

Fn = (φⁿ - ψⁿ) / √5 Where: φ = (1 + √5) / 2 ψ = (1 - √5) / 2 ❤️

Фото профиля Alex
Alex2 дней назад

I love this design

Фото профиля chinnappayal
chinnappayal2 дней назад

The Fibonacci series is jus tricked here...still it flows through 60 secs

Фото профиля The Math Flow
The Math Flow2 дней назад

It has to, as the sweeping nature of second hand is unchanged as it is in real clocks.

Фото профиля Dr.山川|Visual Math
Dr.山川|Visual Math2 дней назад

The real magic isn't φ — it's self-similarity. Every quarter-turn of this spiral is a scaled copy of the last, so the clock works at any zoom level. Zoom into the center and you'd find a working clock inside the clock, forever. Time, but fractal.

Фото профиля The Math Flow
The Math Flow2 дней назад

The magic is due to the very nature of φ.

Фото профиля Stefanos Popovides
Stefanos Popovides2 дней назад

Genius!

Фото профиля The Math Flow
The Math Flow2 дней назад

Indeed.

Фото профиля Joseph Paul Duffey
Joseph Paul Duffey2 дней назад

This is Awesome!

Фото профиля The Math Flow
The Math Flow2 дней назад

Thanks. :)

Фото профиля francuzovic
francuzovic2 дней назад

Pff l’heure n’est même pas juste

Фото профиля diip3sh
diip3sh2 дней назад

putting the hours on the spiral instead of a ring is a fun twist on a clock face. do the hands keep an even sweep or slow down near the tight inner turns

Фото профиля 菅野正人
菅野正人2 дней назад

計算式は?

Фото профиля Adrián Ricardo Moreno
Adrián Ricardo Moreno2 дней назад

Qué hermosura!

Фото профиля MS ms
MS ms2 дней назад

Gopala–Hemachandra numbers or the Hemachandra–Fibonacci numbers.

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The history of Fibonacci's clock is quite intriguing, as it combines the fascinating world of mathematics with the practical application of timekeeping. The clock is named after Leonardo Fibonacci, also known as Leonardo of Pisa, an Italian mathematician from the Middle Ages. Fibonacci is most famous for introducing the Hindu-Arabic numeral system to the Western world and for his work in the Fibonacci sequence. However, the Fibonacci clock we know today is not a direct creation of Leonardo Fibonacci. The modern Fibonacci clock is a tribute to his mathematical genius and the beauty of the Fibonacci sequence. The clock's design is based on the sequence, with each number represented by a specific color or pattern. The Fibonacci sequence is a series of numbers in which each number is the sum of the two preceding ones, starting with 0 and 1. The sequence goes as follows: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, and so on. The sequence appears in many natural phenomena, such as the arrangement of leaves on a stem, the spiral patterns of a pinecone, and the growth of a nautilus shell. The Fibonacci clock is a unique timepiece that displays the time using the Fibonacci sequence. The clock face is divided into sections that correspond to the numbers in the sequence. The time is shown by illuminating specific sections of the clock face, with each section representing a different unit of time. For example, one section might represent hours, another minutes, and another seconds.

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