It appears that the Stuffed Toys application is not the only one possible
reversed problem of cube net folding. The Scissors application implements
another reversed problem. The task is to cut a cube (or another 6-faced solid)
into a given net. Users can rip along any of the edges. If they rip more edges
than necessary, a net cannot be produced. if they rip less edges than
necessary, the system will rip the rest (selecting arbitrary edges). The
application has three sets - stuffed cubes and stuffed toys are the same as in
the Stuffed Toys application. The third set is the Ribbons set, which is much
harder to solve and requires a strong imagination and visual memory. The
figures resemble the ribbons attached to kimono suits.
Rip a cube to produce a predefined net.
Rip a cube starting from one end of the net, from the other or
from the middle.
Rip a cube in way to produce a flipped or rotated net of the
Find the number of cuts needed to produce specific net. Which
of the 11 nets needs the minimal/maximal number of cuts?
Determine criteria whether a ripped off cube can be unfolded
without problems (i.e. all faces are unfolded and there is no need to the
application to cut additional edges).
Find all possible ways to cut a cube into 1, 2, 3 and 6 equal
pieces. Prove that it is no possible to cut a cube into 4 or 5 equal pieces.
Apply experience gained in ripping a cube while ripping stuffed
Rip a ribbon to produce a predefined net.
Find methods for helping the rip off of a ribbon.
Scissors is a DALEST application. To see the others go to the