Could you reconstruct an interesting story of
Danila the apprentice which created two stone flowers in such a way
that they can be combined together in a perfect circle?
A gardener has an ambitious plan to replant his flower bed, increasing the
number of the 4-rose-straight-line rows but keeping the overall number of
roses intact? Would it be possible?
Just write a set of numbers in the circles so that any three of them lying
on a straight line always add up to the same total. Is there any algorithm
to find the proper solution?
A five-pointed star is made of circular spots held together by wire. Fill
in the circles with the correct numbers of stones from 1 through 15
observing some additional rules.
Cut a regular hexagon into a certain number of
quadrilaterals. There is a minor condition applied to quadrilaterals -
they all should be congruent. Interestingly, a flexible solution
scheme exists for the puzzle. What is it?
A set of chairs has to be arranged along the walls of a rectangular dance
hall in such a way that there are an equal number of them along each wall.
What pattern to choose for this?
Stack three dice in a tower. Glance at it for a moment and... say the sum
of spots on the hidden faces. You know for sure you won't miss but what's
the trick?
Eleven checkered pieces: ten P-shaped and one
L-shaped. Goal: arrange into a regular 8x8 chessboard. Key features:
no overlapping but proper altering of the two-colored cells.
One of the proposed seven chocolate pieces can be copied six times in
order to fit them into a rectangular chocolate bar. The key questions
are what piece is it and what the final chocolate bar should look
like?
