08/07/2018, 01:28 PM
Hmm, very interesting. Somewhy I thought there are only 2^n-ions. But now I think there are only even-ions. For example according to your formula (k-ionic set of k-ads is {(x;y;z) | x xor[k] y = z and x xor[k] z = y} like (k/2; k^2/2; (k^2+k)/2)) and according to my codes I found not only 2^n-ionic but even-ionic -ads. For instance:
1st Bionic biad: (1;2;3)
1st Tetrionic tetrad: (2;8;10)
1st Sexionic sexad: (3;18;21) (or Hexionic hexad)
1st Oktionic oktad: (4;32;36)
1st Decionic decad: (5;50;55)
But how to proof there are no odd-ads, like triads? Or I ask other way: Is there any number like that could create a triad? (Complex numbers or reals?)
Anyway xor works as addition at number system base infinity.
1st Bionic biad: (1;2;3)
1st Tetrionic tetrad: (2;8;10)
1st Sexionic sexad: (3;18;21) (or Hexionic hexad)
1st Oktionic oktad: (4;32;36)
1st Decionic decad: (5;50;55)
But how to proof there are no odd-ads, like triads? Or I ask other way: Is there any number like that could create a triad? (Complex numbers or reals?)
Anyway xor works as addition at number system base infinity.
Xorter Unizo