// Returns the next generation of a world
public World GetNext() =>
new World( // Return a new world
LiveCells.Select( // that focuses on every live cell,
c => NeighborsAndSelf(c)) // and each of its neighbors.
.SelectMany(s => s).Distinct() // (Flatten enumerable of enumerables)
.Select(focusedCell => // Then for each focused cell
focusedCell.GetNext( // get the next generation of that cell
LiveNeighborCount(focusedCell.coord) // Based on that cell's current value and its live neighbor count
)), Age + 1); // That is one generation older
)), Age + 1); // That is one generation older
// Returns the same world, but shifted by a coordinate delta
public World GetShifted(Coordinate delta) =>
new World(
LiveCells.Select(c =>
new Cell(c.coord.Plus(delta), c.value)),
Age);