# 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