Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Congruence beten two n-point sets in 4 dimension can be checked in O(n log n) time. On the way to establishing this result,  revisit several parts of 4-dimensional geometry, such as angles and distances beten planes, Hopf fibrations, and Coxeter groups.
['Heuna Kim', 'Günter Rote']
I am writing a research paper on a idea Congruence Testing of Point Sets in 4 Dimensions
[{"from": "human", "value": "I am writing a research paper on a idea Congruence Testing of Point Sets in 4 Dimensions"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Congruence beten two n-point sets in 4 dimension can be checked in O(n log n) time. On the way to establishing this result,  revisit several parts of 4-dimensional geometry, such as angles and distances beten planes, Hopf fibrations, and Coxeter groups."}]