Created
January 13, 2015 09:41
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% hex tiles puzzle | |
% - https://chris-lamb.co.uk/posts/giants-causeway-puzzle | |
% - https://llaisdy.wordpress.com/2015/01/13/that-giants-causeway-puzzle-in-prolog/ | |
:- use_module(library(clpfd)). %% for all_different/1 | |
%% tile(Name, Colours). | |
% tiles from picture | |
% tile(11, [red, blue, black, yellow, green, white]). | |
% tile(22, [white, black, yellow, green, blue, red]). | |
% tile(33, [green, blue, black, yellow, red, white]). | |
% tile(44, [white, black, red, green, blue, yellow]). | |
% tile(55, [white, blue, green, yellow, black, red]). | |
% tile(66, [white, yellow, red, blue, black, green]). | |
% tile(77, [red, yellow, green, black, blue, white]). | |
% re-jigged a bit | |
tile(11, [white, black, red, green, blue, yellow]). | |
tile(22, [white, black, yellow, green, blue, red]). | |
tile(33, [white, blue, green, yellow, black, red]). | |
tile(44, [white, green, blue, black, yellow, red]). | |
tile(55, [white, red, blue, black, yellow, green]). | |
tile(66, [white, red, yellow, green, black, blue]). | |
tile(77, [white, yellow, red, blue, black, green]). | |
%% only six rotations allowed | |
rotation(0). | |
rotation(1). | |
rotation(2). | |
rotation(3). | |
rotation(4). | |
rotation(5). | |
%% rotate(List1, NStepsAntiClockwise, List2). | |
rotate(Cs, 0, Cs). | |
rotate([A,B,C,D,E,F], 1, [B,C,D,E,F,A]). | |
rotate([A,B,C,D,E,F], 2, [C,D,E,F,A,B]). | |
rotate([A,B,C,D,E,F], 3, [D,E,F,A,B,C]). | |
rotate([A,B,C,D,E,F], 4, [E,F,A,B,C,D]). | |
rotate([A,B,C,D,E,F], 5, [F,A,B,C,D,E]). | |
%% colour(Name, Rotation, Position, Colour). | |
colour(N, R, P, C):- | |
rotation(R), | |
tile(N, Cs), | |
X is (P + R) mod 6, | |
nth0(X, Cs, C). | |
same_colour(N1, R1, P1, N2, R2, P2):- | |
colour(N1, R1, P1, C), | |
colour(N2, R2, P2, C). | |
solve(N1, R1, N2, R2, N3, R3, N4, R4, N5, R5, N6, R6, N7, R7):- | |
all_different([N1, N2, N3, N4, N5, N6, N7]), | |
same_colour(N1, R1, 3, N2, R2, 0), | |
same_colour(N1, R1, 4, N4, R4, 1), | |
same_colour(N1, R1, 5, N3, R3, 2), | |
same_colour(N2, R2, 4, N5, R5, 1), | |
same_colour(N2, R2, 5, N4, R4, 2), | |
same_colour(N3, R3, 3, N4, R4, 0), | |
same_colour(N3, R3, 4, N6, R6, 1), | |
same_colour(N4, R4, 3, N5, R5, 0), | |
same_colour(N4, R4, 4, N7, R7, 1), | |
same_colour(N4, R4, 5, N6, R6, 2), | |
same_colour(N5, R5, 5, N7, R7, 2), | |
same_colour(N6, R6, 3, N7, R7, 0). | |
show(N, R):- | |
tile(N, Cs), | |
rotate(Cs, R, Rs), | |
format("~d ~w~n", [N, Rs]). | |
solve:- | |
solve(N1, R1, N2, R2, N3, R3, N4, R4, N5, R5, N6, R6, N7, R7), | |
show(N1, R1), | |
show(N2, R2), | |
format("---~n"), | |
show(N3, R3), | |
show(N4, R4), | |
show(N5, R5), | |
format("---~n"), | |
show(N6, R6), | |
show(N7, R7). |
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