Suppose you have an immense supply of wooden
cubes and several paint tins each containing a different color of
paint. How many differently painted cubes would you be able to produce
with such a toolkit?
A nobleman has complicated
for his gardener the task of planting ten roses in the garden
into five lines with four roses in every line. See what the
complication really is...
Three color snakes, each of the same length but
of the different shape. Just put them all onto the hexagonal board.
The snakes can be freely rotated and flipped over but not overlapped.
Ten bugs are arranged into
two rows of five bugs each. Move just four of them so that
five rows of four bugs appear. No option of two bugs at one
spot though a bug can be simultaneously a part of several
rows.
A house-like shape can be divided into no more
than X parts which in turn can create a perfect square. Go to the
challenge to see the shape and discover what number X stands for.
There are four snakes interwoven in a cross-like
shape. Each one of a different color: black, blue, green and red. The
challenge is to spot the shortest of them.
An enigmatic pattern of the
stained-glass circle with an intriguing question of how many
continuous strokes are required to draw it without taking you
pencil off the paper. Want to try it right away?
The challenge posed by Lewis Carroll to a
teen-age girl in 1873 about how to reduce the area of a window in half
but at the same time keeping its height and width intact. Is the
problem still actual nowadays?
When two rectangles are placed side by side one
square is supposed to be created. But here one more square will
appear. The challenge is to select the right rectangles from the set
provided.
Suppose you have an irregular bar of chocolate
which has to be divided equally among five kids and everyone wants to
obtain the portion in the shape of square only. That's what the
challenge is about.