solving HeptiamondsHexagon1: solution 1: 06,00,0 06,00,1 06,01,0 07,00,0 07,00,1 08,00,0 08,00,1 P7 04,01,1 04,02,0 04,02,1 05,00,1 05,01,0 05,01,1 05,02,0 D7 02,03,1 02,04,0 02,04,1 03,02,1 03,03,0 03,03,1 04,03,0 A7 04,03,1 05,02,1 05,03,0 05,03,1 06,01,1 06,02,0 06,03,0 G7 06,02,1 07,01,0 07,01,1 07,02,0 08,01,0 08,01,1 09,01,0 H7 09,00,0 09,00,1 10,00,0 10,00,1 11,00,0 11,00,1 11,01,0 L7 02,05,0 02,05,1 02,06,0 03,04,0 03,04,1 03,05,0 03,05,1 B7 01,06,0 01,06,1 01,07,0 01,07,1 02,06,1 02,07,0 03,06,0 V7 00,05,1 00,06,0 00,06,1 00,07,0 01,04,1 01,05,0 01,05,1 U7 00,07,1 00,08,0 00,08,1 00,09,0 00,09,1 00,10,0 01,08,0 E7 08,02,0 08,02,1 08,03,0 09,01,1 09,02,0 10,01,0 10,01,1 Q7 08,03,1 09,02,1 09,03,0 10,02,0 10,02,1 11,01,1 11,02,0 N7 09,03,1 10,03,0 10,03,1 10,04,0 11,02,1 11,03,0 11,03,1 X7 08,05,1 08,06,0 09,04,1 09,05,0 09,05,1 10,04,1 10,05,0 Z7 10,06,1 10,07,0 11,04,0 11,04,1 11,05,0 11,05,1 11,06,0 R7 08,06,1 09,06,0 09,06,1 09,07,0 09,07,1 10,05,1 10,06,0 W7 07,08,0 07,08,1 08,07,0 08,07,1 08,08,0 08,08,1 09,08,0 Y7 06,09,0 06,09,1 06,10,0 07,09,0 07,09,1 07,10,0 08,09,0 M7 05,08,1 05,09,0 05,09,1 05,10,0 05,10,1 06,08,0 06,08,1 J7 04,10,1 04,11,0 04,11,1 05,11,0 05,11,1 06,10,1 06,11,0 C7 00,11,1 01,11,0 01,11,1 02,11,0 02,11,1 03,11,0 03,11,1 I7 02,09,1 03,09,0 03,09,1 03,10,0 03,10,1 04,09,1 04,10,0 S7 00,10,1 00,11,0 01,09,1 01,10,0 01,10,1 02,10,0 02,10,1 T7 01,08,1 01,09,0 02,08,0 02,08,1 02,09,0 03,08,0 03,08,1 F7 ________________________ /\ / \ / \____________/ ____ \ /\ / \ / /\ /\ / \ ____/ \/ / \/ \ / /\ /\ /\ / / \ / / \/ \____/ \/ /__________\ / \ / \ / \ / ___\________/ \____/___ ___\ /\ / \ / / /\ / \/ \ /___/ / \ / / /\ \ /\ \ \ / /___/ \___\ / \____ \ \ \ / / \ \ / / \ /___ / \ \/ / \ / / / \ /\ / / \/ /___/_______ _______\/ \/___/ \ \ \ /\ \ / \ ___\ ___\ / \ \____ / \ / \ \ \ / \ \ / \/ \ \ \/___ \____ \/ \ /\ / \ /\ / \ / \/__________\____/ \/ \ / / / \/___________/___________/ solution 2: 06,00,0 06,00,1 06,01,0 07,00,0 07,00,1 08,00,0 08,00,1 P7 04,01,1 04,02,0 04,02,1 05,00,1 05,01,0 05,01,1 05,02,0 D7 02,03,1 02,04,0 02,04,1 03,02,1 03,03,0 03,03,1 04,03,0 A7 04,03,1 05,02,1 05,03,0 05,03,1 06,01,1 06,02,0 06,03,0 G7 06,02,1 07,01,0 07,01,1 07,02,0 08,01,0 08,01,1 09,01,0 H7 09,00,0 09,00,1 10,00,0 10,00,1 11,00,0 11,00,1 11,01,0 L7 02,05,0 02,05,1 02,06,0 03,04,0 03,04,1 03,05,0 03,05,1 B7 01,06,0 01,06,1 01,07,0 01,07,1 02,06,1 02,07,0 03,06,0 V7 00,05,1 00,06,0 00,06,1 00,07,0 01,04,1 01,05,0 01,05,1 U7 00,07,1 00,08,0 00,08,1 00,09,0 00,09,1 00,10,0 01,08,0 E7 08,02,0 08,02,1 08,03,0 09,01,1 09,02,0 10,01,0 10,01,1 Q7 08,03,1 09,02,1 09,03,0 10,02,0 10,02,1 11,01,1 11,02,0 N7 09,03,1 09,04,1 10,03,0 10,03,1 10,04,0 11,02,1 11,03,0 Y7 09,05,1 10,04,1 10,05,0 10,05,1 11,03,1 11,04,0 11,04,1 M7 08,05,1 08,06,0 08,06,1 09,05,0 09,06,0 09,06,1 10,06,0 J7 09,07,0 09,07,1 10,06,1 10,07,0 11,05,0 11,05,1 11,06,0 C7 07,08,1 08,07,0 08,07,1 08,08,0 08,08,1 08,09,0 09,08,0 X7 05,08,1 06,08,0 06,08,1 06,09,0 06,09,1 07,08,0 07,09,0 Z7 04,11,1 05,11,0 05,11,1 06,10,1 06,11,0 07,09,1 07,10,0 R7 04,10,1 04,11,0 05,09,0 05,09,1 05,10,0 05,10,1 06,10,0 W7 00,11,1 01,11,0 01,11,1 02,11,0 02,11,1 03,11,0 03,11,1 I7 02,09,1 03,09,0 03,09,1 03,10,0 03,10,1 04,09,1 04,10,0 S7 00,10,1 00,11,0 01,09,1 01,10,0 01,10,1 02,10,0 02,10,1 T7 01,08,1 01,09,0 02,08,0 02,08,1 02,09,0 03,08,0 03,08,1 F7 ________________________ /\ /\ \ / \____________/ \____ \ /\ / \ \ \ / \ ____/ \ ___\ \ / /\ /\ /\ / / \ /\ / / \/ \____/ \/___/ ___\/ \ / \ / \ \ \ / ___\________/ \_______\ ___\ /\ / \ / / \ / \/ \ /___/___ \ / / /\ \ / \ \ / /___/ \___\ / _______\ \ \ / / \ \ / / \ /___ / \___\ /___/ \ / / / \ \ / \/ /___/_______ _______\ \ / \ \ \ /\ \ \ / \ ___\ ___\ / \ \____ \/ \ / \ \ \ / \ \ / \/ \ \ \/___ \____ \/ \ /\ / \ /\ / \ / \/__________\____/ \/ \ / / / \/___________/___________/ solution 3: 06,00,0 06,00,1 06,01,0 07,00,0 07,00,1 08,00,0 08,00,1 P7 04,01,1 04,02,0 04,02,1 05,00,1 05,01,0 05,01,1 05,02,0 D7 02,03,1 02,04,0 02,04,1 03,02,1 03,03,0 03,03,1 04,03,0 A7 04,03,1 05,02,1 05,03,0 05,03,1 06,01,1 06,02,0 06,03,0 G7 06,02,1 07,01,0 07,01,1 07,02,0 08,01,0 08,01,1 09,01,0 H7 09,00,0 09,00,1 10,00,0 10,00,1 11,00,0 11,00,1 11,01,0 L7 02,05,0 02,05,1 02,06,0 03,04,0 03,04,1 03,05,0 03,05,1 B7 01,06,0 01,06,1 01,07,0 01,07,1 02,06,1 02,07,0 03,06,0 V7 00,05,1 00,06,0 00,06,1 00,07,0 01,04,1 01,05,0 01,05,1 U7 00,07,1 00,08,0 00,08,1 00,09,0 00,09,1 01,08,0 01,09,0 F7 01,08,1 02,08,0 02,08,1 02,09,1 03,08,0 03,08,1 03,09,0 J7 00,10,0 00,10,1 01,09,1 01,10,0 01,10,1 02,09,0 02,10,0 Y7 00,11,0 00,11,1 01,11,0 01,11,1 02,11,0 02,11,1 03,11,0 I7 02,10,1 03,09,1 03,10,0 03,10,1 04,09,1 04,10,0 04,10,1 M7 03,11,1 04,11,0 04,11,1 05,10,1 05,11,0 05,11,1 06,11,0 E7 08,02,0 08,02,1 08,03,0 09,01,1 09,02,0 10,01,0 10,01,1 Q7 08,03,1 09,02,1 09,03,0 10,02,0 10,02,1 11,01,1 11,02,0 N7 09,03,1 10,03,0 10,03,1 10,04,0 11,02,1 11,03,0 11,03,1 X7 05,09,1 05,10,0 06,09,0 06,09,1 06,10,0 06,10,1 07,10,0 S7 05,08,1 05,09,0 06,08,0 06,08,1 07,08,0 07,08,1 07,09,0 C7 07,09,1 08,07,0 08,07,1 08,08,0 08,08,1 08,09,0 09,08,0 T7 08,05,1 08,06,0 09,04,1 09,05,0 09,05,1 10,04,1 10,05,0 Z7 10,06,1 10,07,0 11,04,0 11,04,1 11,05,0 11,05,1 11,06,0 R7 08,06,1 09,06,0 09,06,1 09,07,0 09,07,1 10,05,1 10,06,0 W7 ________________________ / \ \ /______________\____ ___\ / \ /\ / \ /___ ___\ / \/ ___\ / \ \ \ /\ /\ /\ \ / ___\___\ \/ \/ \____/ \ \ / \ / \ / \ / ___\________/ \________/ ___\ /\ / \ / / /\ / \/ \ /___/ / \ / / /\ \ /\ \ \ / /___/ \___\ / \____ \ \ \ / / \ \ / / \ /___ / \ \/ / \ / / / \ /\ / / \/ /___/_______ _______\/ \/___/ \ \ \ /\ \ / \ ___\ ___\ / \ \____ / \ / \ \ \ / \ \ / \/ \ \ \/___ \____ \/ \ /\ / \ /\ / \ / \/__________\____/ \/ \ / / / \/___________/___________/ solution 4: 06,00,0 06,00,1 06,01,0 07,00,0 07,00,1 08,00,0 08,00,1 P7 04,01,1 04,02,0 04,02,1 05,00,1 05,01,0 05,01,1 05,02,0 D7 02,03,1 02,04,0 02,04,1 03,02,1 03,03,0 03,03,1 04,03,0 A7 04,03,1 05,02,1 05,03,0 05,03,1 06,01,1 06,02,0 06,03,0 G7 06,02,1 07,01,0 07,01,1 07,02,0 08,01,0 08,01,1 09,01,0 H7 09,00,0 09,00,1 10,00,0 10,00,1 11,00,0 11,00,1 11,01,0 L7 02,05,0 02,05,1 02,06,0 03,04,0 03,04,1 03,05,0 03,05,1 B7 01,06,0 01,06,1 01,07,0 01,07,1 02,06,1 02,07,0 03,06,0 V7 00,05,1 00,06,0 00,06,1 00,07,0 01,04,1 01,05,0 01,05,1 U7 00,07,1 00,08,0 00,08,1 00,09,0 00,09,1 00,10,0 00,10,1 I7 01,08,0 01,08,1 01,09,0 01,09,1 01,10,0 02,08,0 02,09,0 M7 02,08,1 02,10,1 03,08,0 03,08,1 03,09,0 03,09,1 03,10,0 C7 00,11,0 00,11,1 01,10,1 01,11,0 01,11,1 02,09,1 02,10,0 T7 02,11,0 02,11,1 03,10,1 03,11,0 03,11,1 04,10,1 04,11,0 F7 04,09,1 04,10,0 05,09,0 05,09,1 05,10,0 05,10,1 06,10,0 S7 04,11,1 05,11,0 05,11,1 06,10,1 06,11,0 07,09,1 07,10,0 R7 05,08,1 06,08,0 06,08,1 06,09,0 06,09,1 07,08,0 07,09,0 Z7 07,08,1 08,07,0 08,07,1 08,08,0 08,08,1 08,09,0 09,08,0 X7 08,02,0 08,02,1 08,03,0 09,01,1 09,02,0 10,01,0 10,01,1 Q7 08,03,1 09,02,1 09,03,0 10,02,0 10,02,1 11,01,1 11,02,0 N7 10,04,1 11,02,1 11,03,0 11,03,1 11,04,0 11,04,1 11,05,0 E7 08,05,1 09,03,1 09,04,1 09,05,0 10,03,0 10,03,1 10,04,0 J7 09,07,1 10,05,1 10,06,0 10,06,1 10,07,0 11,05,1 11,06,0 Y7 08,06,0 08,06,1 09,05,1 09,06,0 09,06,1 09,07,0 10,05,0 W7 ________________________ / / \ \ /___ /___ \____ \ / /\ \ \ /\ / \ \ / / \ \ \/ \/ ___\ \ / / \ / /\ / \ /\ / / ___\/ / \____/ ___\/ \ / / \ / \ \ \ / /______\____/ \_______\ ___\ /\ / \ / /\ \ / \/ \ /___/ \ \ / / /\ \ / / \ / /___/ \___\ /___ / \ \ / / \ \ \ /\ / \ /___ / \ \___\/ \/ \ / / / \ \ / \/ /___/_______ _______\ \ / \ \ \ /\ \ / / \ ___\ ___\ / \ \____/ / \ / \ \ \ / \ \ / \/ \ \ \/___ \____ \/ \ /\ / \ /\ / \ / \/__________\____/ \/ \ / / / \/___________/___________/ solution 5: 06,00,0 06,00,1 06,01,0 07,00,0 07,00,1 08,00,0 08,00,1 P7 04,01,1 04,02,0 04,02,1 05,00,1 05,01,0 05,01,1 05,02,0 D7 02,03,1 02,04,0 02,04,1 03,02,1 03,03,0 03,03,1 04,03,0 A7 04,03,1 05,02,1 05,03,0 05,03,1 06,01,1 06,02,0 06,03,0 G7 06,02,1 07,01,0 07,01,1 07,02,0 08,01,0 08,01,1 09,01,0 H7 09,00,0 09,00,1 10,00,0 10,00,1 11,00,0 11,00,1 11,01,0 L7 02,06,0 02,06,1 03,04,0 03,04,1 03,05,0 03,05,1 03,06,0 J7 01,04,1 01,05,0 01,05,1 01,06,0 01,06,1 02,05,0 02,05,1 Y7 00,05,1 00,06,0 00,06,1 00,07,0 00,07,1 00,08,0 00,08,1 I7 01,07,0 01,07,1 01,08,0 01,08,1 01,09,0 02,07,0 02,08,0 M7 00,09,0 00,09,1 00,10,0 00,10,1 00,11,0 00,11,1 01,10,0 E7 08,02,0 08,02,1 08,03,0 09,01,1 09,02,0 10,01,0 10,01,1 Q7 08,03,1 09,02,1 09,03,0 10,02,0 10,02,1 11,01,1 11,02,0 N7 09,03,1 10,03,0 10,03,1 10,04,0 11,02,1 11,03,0 11,03,1 X7 01,09,1 01,10,1 01,11,0 01,11,1 02,09,0 02,09,1 02,10,0 S7 02,08,1 02,10,1 03,08,0 03,08,1 03,09,0 03,09,1 03,10,0 C7 02,11,0 02,11,1 03,10,1 03,11,0 03,11,1 04,10,1 04,11,0 F7 04,09,1 04,10,0 05,08,1 05,09,0 05,09,1 05,10,0 06,09,0 B7 06,08,0 06,08,1 06,09,1 06,10,0 07,08,0 07,08,1 07,09,0 V7 04,11,1 05,10,1 05,11,0 05,11,1 06,10,1 06,11,0 07,10,0 U7 07,09,1 08,07,0 08,07,1 08,08,0 08,08,1 08,09,0 09,08,0 T7 08,05,1 08,06,0 09,04,1 09,05,0 09,05,1 10,04,1 10,05,0 Z7 10,06,1 10,07,0 11,04,0 11,04,1 11,05,0 11,05,1 11,06,0 R7 08,06,1 09,06,0 09,06,1 09,07,0 09,07,1 10,05,1 10,06,0 W7 ________________________ / / / \ \ / / /___ \ \ / \ \ \ /\ /\ /\ \ / ___\ \ \/ \/ \/ \___\ / /\ / /\ \ \ \ /___/ \____/ / \ ___\ \ \ / / \ / \ / / \ / / ___\____/ \/_______/ ___\ / / \ / / /\ / /______\ /___/ / \ / / / \ /\ \ \ / / /___ \ / \____ \ \ \ / / / \ \ / / \/ ____/ / \ \/ / \ / / / \ /\ / / \/ /___/_______ _______\/ \/___/ \ \ \ /\ \ / \ ___\ ___\ / \ \____ / \ / \ \ \ / \ \ / \/ \ \ \/___ \____ \/ \ /\ / \ /\ / \ / \/__________\____/ \/ \ / / / \/___________/___________/ solution 6: 06,00,0 06,00,1 06,01,0 07,00,0 07,00,1 08,00,0 08,00,1 P7 04,01,1 04,02,0 04,02,1 05,00,1 05,01,0 05,01,1 05,02,0 D7 02,03,1 02,04,0 02,04,1 03,02,1 03,03,0 03,03,1 04,03,0 A7 04,03,1 05,02,1 05,03,0 05,03,1 06,01,1 06,02,0 06,03,0 G7 06,02,1 07,01,0 07,01,1 07,02,0 08,01,0 08,01,1 09,01,0 H7 09,00,0 09,00,1 10,00,0 10,00,1 11,00,0 11,00,1 11,01,0 L7 02,06,0 02,06,1 03,04,0 03,04,1 03,05,0 03,05,1 03,06,0 J7 01,04,1 01,05,0 01,05,1 01,06,0 01,06,1 02,05,0 02,05,1 Y7 00,05,1 00,06,0 00,06,1 00,07,0 00,07,1 00,08,0 00,08,1 I7 01,07,0 01,07,1 01,08,0 01,08,1 02,07,0 02,08,0 02,08,1 U7 00,09,0 00,09,1 00,10,0 01,09,0 01,09,1 01,10,0 02,09,0 M7 00,10,1 00,11,0 00,11,1 01,10,1 01,11,0 01,11,1 02,11,0 F7 02,09,1 02,10,0 02,10,1 03,08,0 03,08,1 03,09,0 03,09,1 Z7 02,11,1 03,10,0 03,10,1 03,11,0 03,11,1 04,09,1 04,10,0 X7 08,02,0 08,02,1 08,03,0 09,01,1 09,02,0 10,01,0 10,01,1 Q7 08,03,1 09,02,1 09,03,0 10,02,0 10,02,1 11,01,1 11,02,0 N7 09,03,1 10,03,0 10,03,1 10,04,0 10,04,1 11,02,1 11,03,0 W7 09,05,1 10,05,0 10,05,1 11,03,1 11,04,0 11,04,1 11,05,0 V7 08,05,1 08,06,0 08,06,1 08,07,0 08,07,1 09,04,1 09,05,0 R7 09,06,0 09,06,1 10,06,0 10,06,1 10,07,0 11,05,1 11,06,0 T7 07,09,0 07,09,1 08,08,1 08,09,0 09,07,0 09,07,1 09,08,0 C7 05,08,1 06,08,0 06,08,1 06,09,0 07,08,0 07,08,1 08,08,0 E7 04,10,1 04,11,0 04,11,1 05,09,0 05,09,1 05,10,0 05,11,0 S7 05,10,1 05,11,1 06,09,1 06,10,0 06,10,1 06,11,0 07,10,0 B7 ________________________ / \ / \ \ / ___\ / ___\ \ /\ /\ / / \ \ \ / \/ \/ /___ \ \ ___\ / \ /\ / /\ / \ /__________\ / \/___/ \/___ \ / / / / \ \ \ / / ____/___/ \___________\ \ / / \ / / /\ / /______\ / /___/ \ / / / \ / / \ / / /___ \ / /_______ \ \ / / / \ \ \ / \/ ____/ / \ \____ \/ \ / / / \ / / / \/ /___/_______ _______\/ / / \ \ \ /\ \ \ / \ ___\ ___\ / \ \____ \/ \ / \ \ \ / \ \ / \/ \ \ \/___ \____ \/ \ /\ / \ /\ / \ / \/__________\____/ \/ \ / / / \/___________/___________/