# Solution to Clues and Coordinates

### by David Speyer

The 42 triples of real numbers should be interpreted as three
dimensional coordinates. Plotting them in space, solvers will see that
they lie on a unit sphere, at regular positions.

More precisely, 12 of the points lie at the vertices of a regular
icosahedron, and the remaining 30 points are at the midpoints of the
edges of that icosahedron. In the vocabularly of those who build
geodesic domes, this is a 2V/L2
geodesic
sphere. Taking the convex hull of the points, one obtains
a polyhedron with 42 vertices and 80 triangular faces, and a clue
associated to each vertex.

Write the answers to the clues in the triangles surrounding the
corresponding vertices. Solvers must determine whether each clue
cycles clockwise or counter-clockwise, and which triangle it starts
in. Here is the resulting grid, shown in a Mercator projection.

Clue (0.2629, 0.8090, -0.5257) reads "What you'll find right above
*z*=0", with the solution **ANSWER**. Looking a litle above
the line of lattitue *z*=0, solvers will see the word
BETELGEUSE.

This puzzle was constructed with the aid of Crux. The author is
grateful to Mark Owen (Quinapalus) for his assistance in obtaining and
installing Crux.

**A complete list of clues and solutions:**

About to cry | TEARY |

"According to me, an experienced internet user" | IMNSHO |

Accustomed to hardship | INURED |

Albany or Portland, for example | STREET |

Basket maker? | SCORER |

Belt | PASTE |

Bug blocker | SCREEN |

Creations of Yakub | WHITES |

Determine mass | WEIGH |

Expression of contempt | SNEER |

Farming tool | SEEDER |

Federal law regulating pensions | ERISA |

Filling out I-9 forms | HIRING |

Fur, wool, hair, etcetera | PELAGE |

Gruesome and sensational | LURID |

Harvard humor magazine: __ __
V | SATIRE |

"I concur" | AGREED |

Less likely to appear in a Mystery Hunt | EASIER |

Like San Marino? | SERENE |

Live | RESIDE |

Meander | RAMBLE |

Mystery prize | EDGAR |

Nab | COLLAR |

One likely to carry a Khanjar | OMANI |

One or the other | EITHER |

Positively charged layer in a plasma | SHEATH |

Potent cigarette (British) | GASPER |

Pucker | PURSE |

Puff, for example | PASTRY |

Reflectivity | SHEEN |

Register (two words) | SIGN UP |

Roman helmet | GALEA |

Silent magician | TELLER |

Small, pus-free, skin inflammation | PAPULE |

Spanish man | HOMBRE |

Steered? | GELDED |

Suit measurement | INSEAM |

Type of shower | BRIDAL |

Type of test | PURITY |

Type of window | ORIEL |

Weasel relative | MARTEN |

What you'll find right above *z*=0 | ANSWER |