solving HeptiamondsTriangle: solution 1: 00,10,1 00,11,0 00,11,1 00,12,0 01,10,0 01,10,1 01,11,0 D7 00,00,0 00,00,1 00,01,0 00,01,1 00,02,0 00,02,1 01,01,0 E7 01,00,0 01,00,1 01,01,1 02,00,0 02,00,1 02,01,0 03,00,0 G7 09,01,1 10,00,0 10,00,1 10,01,0 11,00,0 11,00,1 12,00,0 H7 08,03,0 08,03,1 09,02,1 09,03,0 10,01,1 10,02,0 11,01,0 L7 08,01,0 08,01,1 08,02,0 08,02,1 09,00,1 09,01,0 09,02,0 A7 06,00,0 06,00,1 07,00,0 07,00,1 08,00,0 08,00,1 09,00,0 I7 06,04,1 06,05,0 07,03,1 07,04,0 07,04,1 07,05,0 08,04,0 B7 04,05,1 04,06,0 04,06,1 05,06,0 05,06,1 06,05,1 06,06,0 C7 05,04,1 05,05,0 05,05,1 06,02,1 06,03,0 06,03,1 06,04,0 N7 06,01,1 06,02,0 07,01,0 07,01,1 07,02,0 07,02,1 07,03,0 J7 02,07,1 03,07,0 03,07,1 04,07,0 04,07,1 04,08,0 05,07,0 P7 02,08,0 02,08,1 02,09,1 02,10,0 03,08,0 03,08,1 03,09,0 V7 00,08,1 00,09,0 00,09,1 00,10,0 01,09,0 01,09,1 02,09,0 T7 00,07,0 00,07,1 00,08,0 01,07,0 01,07,1 01,08,0 01,08,1 U7 04,03,1 04,04,1 05,02,0 05,02,1 05,03,0 05,03,1 05,04,0 F7 04,00,1 04,01,0 05,00,0 05,00,1 05,01,0 05,01,1 06,01,0 S7 02,01,1 02,02,1 03,00,1 03,01,0 03,01,1 03,02,0 04,00,0 Z7 02,03,0 02,03,1 03,02,1 03,03,0 04,01,1 04,02,0 04,02,1 Q7 02,04,0 02,04,1 03,03,1 03,04,0 03,04,1 03,05,0 04,03,0 W7 02,06,0 02,06,1 02,07,0 03,05,1 03,06,0 03,06,1 04,05,0 X7 00,03,0 00,03,1 00,04,0 01,02,0 01,02,1 01,03,0 02,02,0 M7 00,04,1 00,05,0 00,05,1 00,06,0 00,06,1 01,03,1 01,04,0 R7 01,04,1 01,05,0 01,05,1 01,06,0 01,06,1 02,05,0 02,05,1 Y7 /\ / \ / \ / \ /\ /\ / \____/ \ / \ \ / _______\ \ /\ / / /\ / \/ /_______/ \ / /\ \ /_______/ \___________\ / / / / \ / / /___ / ____ \ / / /\ \ / /\ /\ / / ____/ \___\/ / \/ \ /\ \ / /\ \ \ \ / \ \/___ /__\ \ \ ___\ / \ / \ \ / /\ / \ /___ \/___ \___\ / / \/___ \ / / \ \ / /\ / / \ \ / /______\ \ /___/ \/ / ___\ \ / \ \ /\ / \ / \ \ \ / ___\ \ / \/ ___\____/___ \ \___\ / / \ \ / \ / \ /___/__________\___\____/______________\/__________\ solution 2: 00,10,1 00,11,0 00,11,1 00,12,0 01,10,0 01,10,1 01,11,0 D7 00,00,0 00,00,1 00,01,0 00,01,1 00,02,0 00,02,1 01,01,0 E7 01,00,0 01,00,1 01,01,1 02,00,0 02,00,1 02,01,0 03,00,0 G7 09,01,1 10,00,0 10,00,1 10,01,0 11,00,0 11,00,1 12,00,0 H7 08,03,0 08,03,1 09,02,1 09,03,0 10,01,1 10,02,0 11,01,0 L7 08,01,0 08,01,1 08,02,0 08,02,1 09,00,1 09,01,0 09,02,0 A7 06,00,0 06,00,1 07,00,0 07,00,1 08,00,0 08,00,1 09,00,0 I7 06,04,1 06,05,0 07,03,1 07,04,0 07,04,1 07,05,0 08,04,0 B7 04,05,1 04,06,0 04,06,1 05,06,0 05,06,1 06,05,1 06,06,0 C7 05,04,1 05,05,0 05,05,1 06,02,1 06,03,0 06,03,1 06,04,0 N7 06,01,1 06,02,0 07,01,0 07,01,1 07,02,0 07,02,1 07,03,0 J7 02,07,1 03,07,0 03,07,1 04,07,0 04,07,1 04,08,0 05,07,0 P7 02,08,0 02,08,1 02,09,1 02,10,0 03,08,0 03,08,1 03,09,0 V7 00,09,0 00,09,1 00,10,0 01,08,1 01,09,0 01,09,1 02,09,0 X7 02,05,1 03,04,1 03,05,0 03,05,1 04,04,1 04,05,0 05,04,0 U7 01,07,1 01,08,0 02,06,0 02,06,1 02,07,0 03,06,0 03,06,1 T7 00,06,1 00,07,0 00,07,1 00,08,0 00,08,1 01,06,1 01,07,0 Y7 04,03,1 05,01,1 05,02,0 05,02,1 05,03,0 05,03,1 06,01,0 Q7 00,05,0 00,05,1 00,06,0 01,05,0 01,05,1 01,06,0 02,05,0 M7 00,03,0 00,03,1 00,04,0 00,04,1 01,02,0 01,02,1 01,03,0 Z7 01,03,1 01,04,0 02,02,0 02,02,1 02,03,0 02,03,1 03,03,0 W7 01,04,1 02,04,0 02,04,1 03,03,1 03,04,0 04,02,1 04,03,0 R7 02,01,1 03,01,0 03,01,1 03,02,0 03,02,1 04,01,1 04,02,0 S7 03,00,1 04,00,0 04,00,1 04,01,0 05,00,0 05,00,1 05,01,0 F7 /\ / \ / \ / \ /\ /\ / \____/ \ / \ \ /___ ___\ \ / /\ / /\ / / \/_______/ \ / \ \ \ / \ \___________\ /\ /\ / / \ / \/ \/_______/ ____ \ / \ \ / /\ /\ /__________\ \/ / \/ \ / /\ \ /\ \ \ \ / / \____ \/__\___\ \ ___\ / \ \ \ / /\ / \ /___ \ ___\ \ / / \/___ \ / / / / \ / /\ / / \ \ / /___/___/ \/ / \/ / ___\ \ / \ \ /\ /\ \ / \ \ \ / ___\ \____/ \/ \___\____/___ \ \___\ / / \ / \ / \ /___/__________\________/______________\/__________\ solution 3: 00,10,1 00,11,0 00,11,1 00,12,0 01,10,0 01,10,1 01,11,0 D7 00,00,0 00,00,1 00,01,0 00,01,1 00,02,0 00,02,1 01,01,0 E7 01,00,0 01,00,1 01,01,1 02,00,0 02,00,1 02,01,0 03,00,0 G7 09,01,1 10,00,0 10,00,1 10,01,0 11,00,0 11,00,1 12,00,0 H7 08,03,0 08,03,1 09,02,1 09,03,0 10,01,1 10,02,0 11,01,0 L7 08,01,0 08,01,1 08,02,0 08,02,1 09,00,1 09,01,0 09,02,0 A7 06,00,0 06,00,1 07,00,0 07,00,1 08,00,0 08,00,1 09,00,0 I7 06,04,1 06,05,0 07,03,1 07,04,0 07,04,1 07,05,0 08,04,0 B7 04,05,1 04,06,0 04,06,1 05,06,0 05,06,1 06,05,1 06,06,0 C7 05,04,1 05,05,0 05,05,1 06,02,1 06,03,0 06,03,1 06,04,0 N7 06,01,1 06,02,0 07,01,0 07,01,1 07,02,0 07,02,1 07,03,0 J7 02,07,1 03,07,0 03,07,1 04,07,0 04,07,1 04,08,0 05,07,0 P7 02,08,0 02,08,1 02,09,1 02,10,0 03,08,0 03,08,1 03,09,0 V7 00,09,0 00,09,1 00,10,0 01,08,1 01,09,0 01,09,1 02,09,0 X7 02,05,1 03,04,1 03,05,0 03,05,1 04,04,1 04,05,0 05,04,0 U7 01,07,1 01,08,0 02,06,0 02,06,1 02,07,0 03,06,0 03,06,1 T7 00,06,1 00,07,0 00,07,1 00,08,0 00,08,1 01,06,1 01,07,0 Y7 04,03,1 05,01,1 05,02,0 05,02,1 05,03,0 05,03,1 06,01,0 Q7 00,05,0 00,05,1 00,06,0 01,05,0 01,05,1 01,06,0 02,05,0 M7 00,03,0 00,03,1 00,04,0 00,04,1 01,02,0 01,02,1 01,03,0 Z7 03,01,1 04,01,0 04,01,1 04,02,0 04,02,1 05,00,1 05,01,0 W7 02,01,1 02,02,0 03,00,1 03,01,0 04,00,0 04,00,1 05,00,0 R7 02,02,1 02,03,0 03,02,0 03,02,1 03,03,0 03,03,1 04,03,0 S7 01,03,1 01,04,0 01,04,1 02,03,1 02,04,0 02,04,1 03,04,0 F7 /\ / \ / \ / \ /\ /\ / \____/ \ / \ \ /___ ___\ \ / /\ / /\ / / \/_______/ \ / \ \ \ / \ \___________\ /\ /\ / / \ / \/ \/_______/ ____ \ / \ \ / /\ /\ /__________\ \/ / \/ \ / / \ /\ \ \ \ / / ___\/__\___\ \ ___\ / \ /\ / \ / /\ / \ /___ \/ \/ ___\ / / \/___ \ / / /\ / / /\ / / \ \ / /___/ \____/ / / \/ / ___\ \ / \ \ \ \ \ / \ \ \ / ___\ \ \____ \___\____/___ \ \___\ / / \ \ / \ / \ /___/__________\_______\/______________\/__________\