John Horton Conway was a brilliant mathematician. Among his contributions were three Turing-complete esolangs: Game of Life (esolangs wiki), FRACTRAN (esolangs wiki), and Collatz function (esolangs wiki). Because we did an extremely amazing job around GoL, it is time for the challenge with the o...

Penney-Conway average odds code-golf math probability-theory combinatorics Background Penney's game is a two-player game about coin tossing. Player A announces a sequence of heads and tails of length \$n\$, then player B selects a different sequence of same length. The winner is the one whose s...

Perimeter of Conway hexagon code-golf geometry trigonometry Background Given a triangle \$ABC\$, extend its three sides by the opposite side length, as shown in the figure below. Then the six points surprisingly lie on a circle called the Conway circle, whose center coincides with the incenter....

Making a programable computing chip Make a programable chip with 8000 commands ROM and 48 16-bit unsigned words RAM initalized with zero. These commands should be supported: a = b + c # mod 65536 a = b - c a = b * c a = b / c # undefined behavior if c==0 a = b % c a = b > c # return 0 or ...

Ariadne's String atomic-code-golfgeometry Folklore Note: If you want to get straight into the challenge, skip the folklore. Thesueus was going to enter the Labyrinth to kill the Minotaur, once and for all. Ariadne had given him an extremely long string, for which he could follow to find his...

Your task is to form an expression equaling \$ 11111111111 \text{ (11 ones)} \$ using only the following characters: 1+(). Of course, these expressions should follow the order of operations. Furthermore, the only operations which should be performed are addition, multiplication, and exponentation...