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New grid type: compass dodecagonal
A grid based on dodecagons with square symmetry. In between dodecagons there are 4 triangles around 1 square, which resembles a compass rose. https://en.wikipedia.org/wiki/3-4-3-12_tiling
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committed by
Simon Tatham

parent
3cf0a3b7b0
commit
56ef86f92b
98
grid.c
98
grid.c
@ -2747,7 +2747,7 @@ static grid *grid_new_greatgreatdodecagonal(int width, int height, const char *d
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d = grid_get_dot(g, points, px + (2*a + 2*b), py - 2*a); grid_face_set_dot(g, d, 5);
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}
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/* hexagon on bottom right of dodecagon */
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/* hexagon on bottom right of dodecagon */
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if ((y < height - 1) && (x < width - 1 || !(y % 2))) {
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grid_face_add_new(g, 6);
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d = grid_get_dot(g, points, px + (a + 2*b), py + (2*a + b)); grid_face_set_dot(g, d, 0);
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@ -2839,6 +2839,102 @@ static grid *grid_new_greatgreatdodecagonal(int width, int height, const char *d
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return g;
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}
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static void grid_size_compassdodecagonal(int width, int height,
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int *tilesize, int *xextent, int *yextent)
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{
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int a = DODEC_A;
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int b = DODEC_B;
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*tilesize = DODEC_TILESIZE;
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*xextent = (4*a + 2*b) * width;
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*yextent = (4*a + 2*b) * height;
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}
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static grid *grid_new_compassdodecagonal(int width, int height, const char *desc)
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{
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int x, y;
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/* Vector for side of triangle - ratio is close to sqrt(3) */
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int a = DODEC_A;
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int b = DODEC_B;
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/* Upper bounds - don't have to be exact */
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int max_faces = 6 * width * height;
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int max_dots = 18 * width * height;
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tree234 *points;
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grid *g = grid_empty();
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g->tilesize = DODEC_TILESIZE;
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g->faces = snewn(max_faces, grid_face);
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g->dots = snewn(max_dots, grid_dot);
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points = newtree234(grid_point_cmp_fn);
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for (y = 0; y < height; y++) {
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for (x = 0; x < width; x++) {
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grid_dot *d;
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/* centre of dodecagon */
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int px = (4*a + 2*b) * x;
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int py = (4*a + 2*b) * y;
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/* dodecagon */
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grid_face_add_new(g, 12);
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d = grid_get_dot(g, points, px + ( a ), py - (2*a + b)); grid_face_set_dot(g, d, 0);
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d = grid_get_dot(g, points, px + ( a + b), py - ( a + b)); grid_face_set_dot(g, d, 1);
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d = grid_get_dot(g, points, px + (2*a + b), py - ( a )); grid_face_set_dot(g, d, 2);
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d = grid_get_dot(g, points, px + (2*a + b), py + ( a )); grid_face_set_dot(g, d, 3);
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d = grid_get_dot(g, points, px + ( a + b), py + ( a + b)); grid_face_set_dot(g, d, 4);
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d = grid_get_dot(g, points, px + ( a ), py + (2*a + b)); grid_face_set_dot(g, d, 5);
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d = grid_get_dot(g, points, px - ( a ), py + (2*a + b)); grid_face_set_dot(g, d, 6);
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d = grid_get_dot(g, points, px - ( a + b), py + ( a + b)); grid_face_set_dot(g, d, 7);
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d = grid_get_dot(g, points, px - (2*a + b), py + ( a )); grid_face_set_dot(g, d, 8);
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d = grid_get_dot(g, points, px - (2*a + b), py - ( a )); grid_face_set_dot(g, d, 9);
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d = grid_get_dot(g, points, px - ( a + b), py - ( a + b)); grid_face_set_dot(g, d, 10);
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d = grid_get_dot(g, points, px - ( a ), py - (2*a + b)); grid_face_set_dot(g, d, 11);
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if (x < width - 1 && y < height - 1) {
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/* north triangle */
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grid_face_add_new(g, 3);
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d = grid_get_dot(g, points, px + (2*a + b), py + ( a )); grid_face_set_dot(g, d, 0);
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d = grid_get_dot(g, points, px + (3*a + b), py + ( a + b)); grid_face_set_dot(g, d, 1);
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d = grid_get_dot(g, points, px + ( a + b), py + ( a + b)); grid_face_set_dot(g, d, 2);
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/* east triangle */
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grid_face_add_new(g, 3);
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d = grid_get_dot(g, points, px + (3*a + 2*b), py + (2*a + b)); grid_face_set_dot(g, d, 0);
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d = grid_get_dot(g, points, px + (3*a + b), py + (3*a + b)); grid_face_set_dot(g, d, 1);
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d = grid_get_dot(g, points, px + (3*a + b), py + ( a + b)); grid_face_set_dot(g, d, 2);
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/* south triangle */
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grid_face_add_new(g, 3);
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d = grid_get_dot(g, points, px + (3*a + b), py + (3*a + b)); grid_face_set_dot(g, d, 0);
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d = grid_get_dot(g, points, px + (2*a + b), py + (3*a + 2*b)); grid_face_set_dot(g, d, 1);
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d = grid_get_dot(g, points, px + ( a + b), py + (3*a + b)); grid_face_set_dot(g, d, 2);
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/* west triangle */
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grid_face_add_new(g, 3);
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d = grid_get_dot(g, points, px + (a + b), py + ( a + b)); grid_face_set_dot(g, d, 0);
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d = grid_get_dot(g, points, px + (a + b), py + (3*a + b)); grid_face_set_dot(g, d, 1);
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d = grid_get_dot(g, points, px + (a ), py + (2*a + b)); grid_face_set_dot(g, d, 2);
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/* square in center */
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grid_face_add_new(g, 4);
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d = grid_get_dot(g, points, px + (3*a + b), py + ( a + b)); grid_face_set_dot(g, d, 0);
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d = grid_get_dot(g, points, px + (3*a + b), py + (3*a + b)); grid_face_set_dot(g, d, 1);
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d = grid_get_dot(g, points, px + ( a + b), py + (3*a + b)); grid_face_set_dot(g, d, 2);
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d = grid_get_dot(g, points, px + ( a + b), py + ( a + b)); grid_face_set_dot(g, d, 3);
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}
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}
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}
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freetree234(points);
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assert(g->num_faces <= max_faces);
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assert(g->num_dots <= max_dots);
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grid_make_consistent(g);
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return g;
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}
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typedef struct setface_ctx
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{
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int xmin, xmax, ymin, ymax;
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1
grid.h
1
grid.h
@ -107,6 +107,7 @@ typedef struct grid {
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A(DODECAGONAL,dodecagonal) \
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A(GREATDODECAGONAL,greatdodecagonal) \
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A(GREATGREATDODECAGONAL,greatgreatdodecagonal) \
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A(COMPASSDODECAGONAL,compassdodecagonal) \
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A(PENROSE_P2,penrose_p2_kite) \
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A(PENROSE_P3,penrose_p3_thick)
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3
loopy.c
3
loopy.c
@ -279,6 +279,7 @@ static void check_caches(const solver_state* sstate);
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A("Penrose (rhombs)",PENROSE_P3,3,3) \
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A("Great-Great-Dodecagonal",GREATGREATDODECAGONAL,2,2) \
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A("Kagome",KAGOME,3,3) \
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A("Compass-Dodecagonal",COMPASSDODECAGONAL,2,2) \
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/* end of list */
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#define GRID_NAME(title,type,amin,omin) title,
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@ -552,6 +553,7 @@ static const game_params loopy_presets_more[] = {
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{ 3, 3, DIFF_HARD, LOOPY_GRID_DODECAGONAL },
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{ 3, 3, DIFF_HARD, LOOPY_GRID_GREATDODECAGONAL },
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{ 3, 2, DIFF_HARD, LOOPY_GRID_GREATGREATDODECAGONAL },
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{ 3, 3, DIFF_HARD, LOOPY_GRID_COMPASSDODECAGONAL },
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#else
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{ 10, 10, DIFF_HARD, LOOPY_GRID_HONEYCOMB },
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{ 5, 4, DIFF_HARD, LOOPY_GRID_GREATHEXAGONAL },
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@ -561,6 +563,7 @@ static const game_params loopy_presets_more[] = {
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{ 5, 4, DIFF_HARD, LOOPY_GRID_DODECAGONAL },
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{ 5, 4, DIFF_HARD, LOOPY_GRID_GREATDODECAGONAL },
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{ 5, 3, DIFF_HARD, LOOPY_GRID_GREATGREATDODECAGONAL },
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{ 5, 4, DIFF_HARD, LOOPY_GRID_COMPASSDODECAGONAL },
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#endif
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};
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