The following puzzle is just a way of driving your
attention to the nice puzzles in the page of
Leonid Mochalov, a very
recent site added to my Link's page, on his personal request.
As a matter of fact, me and my friends of the
Ramanujan's seminars celebrated in the Bars of our town have enjoyed
the Mochalov's puzzles a lot, specially the related to the dominoes
game, by obvious reasons ;-)
Due to the fact that Mochalov, unfortunately,
provides the solution of every puzzle, I will have to switch some
things of his original puzzle in order to make interesting to you
the puzzle of this week in my pages.
(about his puzzle # 3, "The pyramid"):
Regarding the following arrangement of the domino
Find an arrangement such that the sum of the
points in every row is a prime number, such that all the primes
gotten are distinct. Keep in mind that "the tiles in the horizontal
rows are positioned according to the rules of dominoes".
(about his puzzle # 10, "Frameworks"):
Regarding the following arrangement of the domino pieces, If you
are asked to get an arrangement such that the sum of each side of
each square is the same integer:
a) Can you explain why this sum must be
necessarily 13, or it can be some other numbers?
While the solution given by Mochalov is such that
the pieces do not follow the rules of dominoes, b) Can you get one
solution that follow the rules of dominoes? c) Can you get another
solution simply distinct to the Mochalov's one?