### Random Post

### Recent Posts

- Enigma 1065: Cute cubes
- Enigma 444: Rows and rows
- Puzzle 50: Football and addition
- Enigma 1066: Members of the clubs
- Enigma 443: The bells they are a-changing
- Tantalizer 455: Ballistico
- Tantalizer 456: Square deal
- Enigma 1067: Bye!
- Enigma 442b: Oh yes I did! Oh no you didn’t!
- Puzzle 51: A multiplication

### Recent Comments

Brian Gladman on Enigma 1065: Cute cubes | |

Jim Randell on Enigma 1065: Cute cubes | |

geoffrounce on Enigma 444: Rows and rows | |

Jim Randell on Enigma 444: Rows and rows | |

geoffrounce on Enigma 1611: Three sister… |

### Archives

### Categories

- article (11)
- enigma (1,167)
- misc (2)
- project euler (2)
- puzzle (42)
- site news (45)
- tantalizer (45)
- teaser (3)

### Site Stats

- 180,599 hits

Advertisements

This Python 3 program runs in 392ms.

Solution:(A) The magic sum is 28. (B) The faces with 3, 5 and 6 on share an edge with the face with 7 on.Here’s a diagram of the solution:

(The cuboctahedron is “punctured” in the middle of the face IJKL, and the hole is then stretched out to make the perimeter of a flat disc).

There are multiple solutions where the magic sum is 30. In this case the 7 face can be surrounded by (1, 9, 10), (2, 10, 12), (4, 6, 14), (4, 5, 6) or (9, 10, 12) if it is on a triangular face, or (1, 9, 10, 11) if it is on a square face.

There is also a solution where the magic sum is 32. In this case the 7 face is surrounded by (9, 11, 13).