Subject: Can this procedure create a laser light image?

This is a question posed by a student of mine: "What is the maximum times 
a beam splitter can split a single laser beam? If two laser beams intersect 
will they provide constructive interference and will a point of light 
appear?" His idea to to split a laser beam bounce it around a bit, have two 
or more beams intersect & hopefully form a point of light, do this with 
enough points & form an image.  I told that in order for the light to be 
visible it would need to be reflected to the eye from something, like a 
screen????

Re: Can this procedure create a laser light image?