This is an interesting shape. But even more
interesting is the challenge applied to it - the task of dividing it
into four identical shapes. Those shapes will appear no less
interesting.
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.
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.
A crescent, five straight cuts, and a task of how
many pieces can be obtained with those cuts? What is the maximum
possible number? Does the crescent form make an advantage?
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?
It is claimed the two patchwork quilts can be
successfully joined together in a new one with cutting along the
stitches in no more than four pieces in total. Would you dare to
complete such a needlework challenge?
A simple arrow has to be divided in just three pieces which, when
rearranged, create a whole rectangle. But the pieces have to be different
in their shapes and areas. Sounds easy?
Bet not every day you see a challenge to divide a regular dodecagon into a
set of pieces which can be then rearranged to create a perfect square.
Would you dare to give it a try?
A trapezoid which is formed by joining three equilateral triangles is
called a triamond. The triamond can be cut into four congruent parts. But
it is said there are two different ways to do that. Check it!
Can you divide a circular table top into the fewest number of pieces so
that they could be rearranged into the seats of two oval stools with open
handholds?
Four shapes. It is said each of them can be divided into two identical
pieces. The goal is to find the proper positions for the dividing cuts.
How complicated the dissection challenges can be?
How to convert a perfect square into a rectangle of the same area simply by
dividing it into two pieces? Which technique should be employed for this
dissection?
What is the minimum number of the square patches needed to sew a patch
quilt of a perfect square? Have you ever asked the patch quilt makers
about it? No? Then ask.
Does the way of dissecting a polygon into four congruent polygons has
something in common with the way of dissecting the same polygon into five
congruent ones?
A sedan chair is useful for not too distant trips. But what to do when it
rains? Close the sedan chair up and get a covered square box in the
simplest possible way!
