VIEW THE MOBILE VERSION of www.mathpuzzle.ca Informational Site Network Informational
Privacy
Home Top Rated Puzzles Most Viewed Puzzles All Puzzle Questions Random Puzzle Question Search


THE ICOSAHEDRON PUZZLE.





(Unicursal and Route Problems)
The icosahedron is another of the five regular, or Platonic, bodies
having all their sides, angles, and planes similar and equal. It is
bounded by twenty similar equilateral triangles. If you cut out a piece
of cardboard of the form shown in the smaller diagram, and cut half
through along the dotted lines, it will fold up and form a perfect
icosahedron.
Now, a Platonic body does not mean a heavenly body; but it will suit the
purpose of our puzzle if we suppose there to be a habitable planet of
this shape. We will also suppose that, owing to a superfluity of water,
the only dry land is along the edges, and that the inhabitants have no
knowledge of navigation. If every one of those edges is 10,000 miles
long and a solitary traveller is placed at the North Pole (the highest
point shown), how far will he have to travel before he will have visited
every habitable part of the planet--that is, have traversed every one of
the edges?


Read Answer





Next: INSPECTING A MINE.

Previous: THE FLY ON THE OCTAHEDRON.



Add to Informational Site Network
Report
Privacy
ADD TO EBOOK




Random Questions

At A Cattle Market.
Money Puzzles
Ovid's Game
MISCELLANEOUS PUZZLES
A Charitable Bequest.
Money Puzzles
The Number-checks Puzzle.
Money Puzzles
The Primrose Puzzle
MISCELLANEOUS PUZZLES
The Two Pawns.
The Guarded Chessboard
The Barrel Of Beer.
Money Puzzles
A Magic Square Of Composites.
Magic Squares Problem.
Romeo's Second Journey
THE PROFESSOR'S PUZZLES
The Chalked Numbers
THE SQUIRE'S CHRISTMAS PUZZLE PARTY
A Deal In Apples.
Money Puzzles
The Merchant's Puzzle
CANTERBURY PUZZLES
The Tube Inspector's Puzzle.
Unicursal and Route Problems
Queer Relationships.
Money Puzzles
The Franklin's Puzzle
CANTERBURY PUZZLES