(tile0, point0)
(tile0, point1)
(tile1, point1)
(tile1, point2)

(tile0, line0)
(tile0, line1)
(tile1, line2)
(tile1, line3)

(tile0, point0:line0)
 (tile0, point0:line1)
 (tile0, point1:line0)
 (tile0, point1:line1)

(tile1, point1:line2)
 (tile1, point1:line3)
 (tile1, point2:line2)
 (tile1, point2:line3)

tile0, _point0
 tile1, _point0
 tile2, _point1
 ...
 tileX, *lineL
 tileY, *lineK
 ...

tileX, [*lineK, ... , _pointP, ...., *lineM, ..., _pointR]

tileX (lineK, pointP)
tileX (lineK, pointR)
...

List<String> points;
 List<String> lines;

tile(current key), element_of_the_resulting_cross_product_list