User blog:Vel!/Perfect powers

I propose the following extension to the system of perfect squares, perfect cubes, etc. All names starting at "omegaract" are my own.


 * point: \(n^0\) ("zeroract")
 * integer: \(n^1\) ("monoract")
 * square: \(n^2\) ("diract")
 * cube: \(n^3\) ("triract")
 * tesseract: \(n^4\)
 * penteract: \(n^5\)
 * hexeract: \(n^6\)
 * hepteract: \(n^7\)
 * etc.
 * omegaract: \(n^n\) (that's the structure {n, n (0, 1) 2})
 * omegainteger: \(n^{n + 1}\)
 * omegasquare: \(n^{n + 2}\)
 * omegacube: \(n^{n + 3}\)
 * etc.
 * diomegaract: \(n^{2n}\)
 * diomegainteger: \(n^{2n + 1}\)
 * triomegaract: \(n^{3n}\)
 * tetraomegaract: \(n^{4n}\)
 * etc.
 * ogigaract: \(n^{n^n}\) (pun on "omega" -> "o-mega")
 * oteraract: \(^4n\) (tera is derived from "tetra-", a nice coincidence)
 * opetaract: \(^5n\)
 * oexaract: \(^6n\)
 * ozettaract: \(^7n\)
 * oyottaract: \(^8n\)
 * etc.
 * epsilonract: \(^nn\)