Just forward a movie clip showing the way of making a cylinder from its net:
It is good as a demonstration in junior form or primary school mathematics lesson.
Question: Is there any universal definition of ‘net’ of a 3-dimensional figure?
As asked by students, I’d found the statement
“A net is a two-dimensional figure that can be cut out and folded up to make a three-dimensional solid."
1. My colleague, Mr. C, said that “net of cylinder" does not exist, because there is only a touching point between a circle and a rectangle and it is impossible to “fold up" and form a solid. Is it true?
2. Also, we can fold two different nets N1 and N2 to form two solids S1 and S2 (say), and we can “glue" S1 and S2 into one signle 3-dimensional figure S. The question is, can we say N1 union N2 (even they are disjoint) is a net of S?
3. We can fold up something to fold a 3-dimensional figure, but is it a must to say that something is a net of the figure? As for example, should the following be a net of a cube?
I have not thought about questions above in details when making up the instructions of a school math project. Sorry students.