Microsoft just switched the unit from degrees to turns. I guess that would make more sense if they were rebranding the 360.
To be pedantic, there's no need for "very" in front of "unique", as my spouse is happy to pounce on despite my protests that English is a living language.
If it's supposed to be degrees, then since 360==0 doesn't that mean the range is [0,360) so 360 degrees is actually an out of range value for an angle?
I've always wondered this but never enough to ask it.
Z_719 is the shorthand for integers in [0, 718], with Z_n typically connotating the algebraic group or ring of integers up to n. In this case 360(Z_719) is an ideal (https://en.wikipedia.org/wiki/Ideal_(ring_theory)) over that domain.
While the ordered sequence of Z_719 is just {0, 1, 2... 718} then wrapping back around to 0, for the ideal 360(Z_719) you get {0, 360, 360*2 % 719 = 1, ...} which is the basis of my joke :)