Question: If it is possible, can one divide a circle into say, 4.5 parts (with 4 equal parts and a half part)?
Or for that matter, for any integer, n, into n/2 parts as above?]

Thanks.

Chris,

The simple way to look at this is that you want k parts where k=2n.
Then some people get 2 parts and some get 1.

So in your example, divide the circle into 9 parts. Give four people 2 parts each, and one person one part.

This shift in how you represent the problem lets you use your current processes for a whole number to address any fractional division.

Walter Whiteley