Zeckendorf to F(4k+2) representation code-golf fibonacci math
Background
Fibonacci numbers are defined as follows:
$$
F_0 = 0, F_1 = 1, F_n = F_{n-1} + F_{n-2}
$$
The Zeckendorf representation is a representation of positive integers as a sum of one or more non-adjacent Fibonacci numbers, using i...
All possible chess moves in algebraic notation
Generate a list of all chess moves that could ever be valid in any position [META: or change it to check if a move could be valid]; use algebraic notation to describe the moves.
Your program should take no input.
Example moves
Na1, Na2, ..., Nh8
Ka1,...
Complex logarithm
We have challenges for the regular real logarithm and the matrix logarithm, but we do not yet have a challenge for computing the logarithm of a complex number.
...
I will add a challenge body if there is interest
Meta
Is this different enough from the other two challenges ?
As ...
Brief description of the game
In the game Otteretto Classic (which you can test directly in your browser; try it!) the player has to form palindromic sequences using adjacent cells on a square grid. Each cell has one of five possible colours, which we will denote by the letters \$\mathrm A, \ldot...
One way to generalize the concept of a range from the integers to the Gaussian integers (complex numbers with integer real and imaginary part) is taking all numbers contained in the rectangle enclosed by the two ends of the range. So the range between two Gaussian integers a+bi and c+di would be ...
Write a program fragment so that, when repeated N times it prints the Nth Fibonacci number. For example, if your program is print(x) then:
print(x) should print 1
print(x)print(x) should print 1
print(x)print(x)print(x) should print 2
print(x)print(x)print(x)print(x) should print 3
print(x)print...
When is My Holiday?
Background
I recently learned of a holiday, that occurred on August 20, 2023 and August 12, 2022.
This got me wondering how on earth they were determining which day this holiday falls on.
The Challenge
In this challenge you will be given two dates which are from the same month...
