



Potpourri IV  Puzzling for Paralysis
by Kevin J. Lin
In recognition of our 100th puzzle posted, we bring you "Potpourri IV". If you are new to the Grey Labyrinth, Potpourri Puzzles are
a challenging collection of pandiscipline puzzles designed to test math,
science, literature, logic, common sense, and trivia, with an occasional
trick question thrown in. These problems are hard it is unlikely
that a single person can solve all twelve without assistance or a lot
of research.
 You have a ham sandwich with melted cheese on toast. With a single,
perfect slice traveling along a twodimensional plane, is it always
possible to divide the sandwich so that the two halves have equal parts
ham, cheese and toast? You may not assume an ideal sandwich
the ingredients may not necessarily be lying perfectly flat.
 What's next in this series: 1, 26, 30, 42, 4...
 An ant starts at one anchored end of a rubber band one meter long,
and begins walking toward the other end at one centimeter per second.
If the other end is pulled away at a rate of one meter per second, will
the ant ever reach the end? Assume that the band is infinitely elastic,
and that when pulled it stretches evenly across its length.
 What was the original URL for the Grey Labyrinth in 1995?
 In the late afternoon on December 3, 2000, in the North East skies
over Bethlehem, a brilliant point of light lit up for a few seconds,
far brighter than any planet or star had ever shined in those night
skies. What was it? Be specific.
 Which one of the following images does not belong? Image
1 Image 2 Image
3 Image 4
 What is the mass of Earth's gravitational field?
 A truncated icosahedron is an unusual
polyhedron with 32 faces, 60 vertices, and 90 edges. Is it possible,
starting at one vertex, to trace a path along the edges visiting each
vertice exactly once, and then returning to the vertex where you started?
 Young Jim Hawkins and five pirates had just recovered a chest of gold
coins. Young Jim was entrusted to guard the gold while the pirates slept.
During the night, one pirate awoke and divided the gold into five even
piles, with one coin left over. He hid one pile for himself and gave
the coin to Jim to keep quiet. Throughout the night the four remaining
pirates did the same thing, each ending up with one left over coin which
they gave to Jim. In the morning they discovered that the (now noticeably
smaller) pile divided evenly into fifths. What is the fewest coins they
could have began with?
 How many different tastes can humans detect?
 What is the fewest number of knights on a chess board so that every
square is either occupied by, or under attack by, at least one knight?
 Who, in a hurry, chose to go from Italy to India via Mongolia?
If you think you know the answers to all twelve questions, send
them in! For Potpourri IV, in honor of our 100th puzzle, if someone
submits all twelve correct answers before December 31, 2000, the Grey Labyrinth
will donate $5000.00 to the Christopher
Reeve Paralysis Foundation. Good luck, and happy puzzling!

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