Suppose that you have a database of three-dimensional galaxy coordinates x; y; z that covered a large volume of, say, 3 Gpc 3 Gpc 3 Gpc.
Using your skill and judgement, suggest how you might use the data to test whether homogeneity is supported by the data and to determine what the homogeneity scale might be (e.g. 50; 100; : : : 500Mpc). attempt to devise a method of using the data that might plausibly work.
What might be the shortcomings of your method?