Fun with Fibonacci numbers
Seen on Twitter: today is #FibonacciDay.
Month and day have same digits as first 4 Fibonacci numbers.
Contents:
BASH agrees, it's Fibonacci day.
Sagemath can tell you Fibonacci numbers (spoils the fun, sort of).
Fibonacci numbers aspire to the golden ratio.
Broccoli for mathematicians.
hello from init.sage
11-26
Sagemath
There is built-in support for Fibonacci numbers in Sagemath.
hello from init.sage
[1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765]
[1.00000000000000, 2.00000000000000, 1.50000000000000, 1.66666666666667, 1.60000000000000, 1.62500000000000]
[(0, 1.00000000000000), (1, 2.00000000000000), (2, 1.50000000000000), (3, 1.66666666666667), (4, 1.60000000000000), (5, 1.62500000000000)]
the Golden Ratio
Sagemath has built in support for the golden ratio.
And the ratio of successive Fibonacci numbers approaches the Golden Ratio.
Romanesco
Romanesco Broccoli is a naturally occurring example of a Fibonacci fractal.
Image credit: Wikipedia on Romanesco broccoli