Informational Site NetworkInformational Site Network
Privacy
 
Home Top Rated Puzzles Most Viewed Puzzles All Puzzle Questions Random Puzzle Question Search


THE FLY ON THE OCTAHEDRON.





(Unicursal and Route Problems)
"Look here," said the professor to his colleague, "I have been watching
that fly on the octahedron, and it confines its walks entirely to the
edges. What can be its reason for avoiding the sides?"
"Perhaps it is trying to solve some route problem," suggested the other.
"Supposing it to start from the top point, how many different routes are
there by which it may walk over all the edges, without ever going twice
along the same edge in any route?"
The problem was a harder one than they expected, and after working at it
during leisure moments for several days their results did not agree--in
fact, they were both wrong. If the reader is surprised at their failure,
let him attempt the little puzzle himself. I will just explain that the
octahedron is one of the five regular, or Platonic, bodies, and is
contained under eight equal and equilateral triangles. If you cut out
the two pieces of cardboard of the shape shown in the margin of the
illustration, cut half through along the dotted lines and then bend them
and put them together, you will have a perfect octahedron. In any route
over all the edges it will be found that the fly must end at the point
of departure at the top.


Read Answer






Next: THE ICOSAHEDRON PUZZLE.

Previous: THE FIFTEEN TURNINGS.



Add to del.icio.us Add to Reddit Add to Digg Add to Del.icio.us Add to Google Add to Twitter Add to Stumble Upon
Add to Informational Site Network
Report
Privacy
SHAREADD TO EBOOK




Random Questions

The Cyclists' Feast.
Money Puzzles
The Village Cricket Match.
Problems Concerning Games.
A War Puzzle Game.
Puzzle Games.
The Christmas-boxes.
Money Puzzles
Mrs. Timpkins's Age.
Money Puzzles
Judkins's Cattle.
Money Puzzles
The Grand Lama's Problem.
Chessboard Problems
Painting The Die.
Combination and Group Problems
Another Linoleum Puzzle.
Patchwork Puzzles
The Underground Maze
THE STRANGE ESCAPE OF THE KING'S JESTER
The Two Horseshoes.
Various Dissection Puzzles
The Parson's Puzzle
CANTERBURY PUZZLES
A Bank Holiday Puzzle.
Unicursal and Route Problems
The Six Pawns.
The Guarded Chessboard
The Merchant's Puzzle
CANTERBURY PUZZLES