mvp (version 1.0-14)

knight: Chess knight

Description

Generating function for a chess knight on an infinite \(d\)-dimensional chessboard

Usage

knight(d, can_stay_still = FALSE)

Arguments

d

Dimension of the board

can_stay_still

Boolean, with default FALSE meaning that the knight is obliged to move and FALSE meaning that it has the option of remaining on its square

Author

Robin K. S. Hankin

Examples

Run this code

knight(2)      # regular chess knight on a regular chess board
knight(2,TRUE) # regular chess knight that can stay still

# Q: how many ways are there for a 4D knight to return to its starting
# square after four moves?

# A:
constant(knight(4)^4)

# Q ...and how many ways in four moves or fewer?

# A1:
constant(knight(4,TRUE)^4)

# A2:
constant((1+knight(4))^4)

Run the code above in your browser using DataLab