Re: [math-fun] Z^2 scale/rotate/translate puzzle
You are of course absolutely right. Sorry about that. I glommed on to the 12 rotations of the set I defined and forgot that we were discussing only the minimal solutions. —Dan Tom Karzes wrote: ----- No, it is independent of the point set. As long as there are at least two distinct points, there are exactly four minimal solutions. Look at the subject of the sentence you quoted: The minimal solution is unique up to multiplication by a unit (1, i, -1, -i). ... ... -----
No worries - just glad we're on the same page! Tom Dan Asimov writes:
You are of course absolutely right. Sorry about that.
I glommed on to the 12 rotations of the set I defined and forgot that we were discussing only the minimal solutions.
—Dan
Tom Karzes wrote: ----- No, it is independent of the point set. As long as there are at least two distinct points, there are exactly four minimal solutions. Look at the subject of the sentence you quoted:
The minimal solution is unique up to multiplication by a unit (1, i, -1, -i). ... ... -----
participants (2)
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Dan Asimov -
Tom Karzes