Scissors

Introduction

The Scissors is aDALESTapplication. It implements the reversed problem of cube net folding. 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

Activities

- 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 predefined net
- 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 toys
- Rip a ribbon to produce a predefined net
- Find methods for helping the rip off of a ribbon