PlantStar's Debut Notation is a notation created by User:Alpineer (originally PlantStarAlpineer0 when he made this notation),[1][dead link] which is currently ill-defined as will be explained in #Basic Bracket Notation and the creator clarified that it will never be defined.[2] Therefore the source has been deleted. It is based off of the number 48.
Basic Bracket Notation
The general rules for basic bracket notation are as follows:[3][dead link]
- [n] = 48n
- [1,n] = [48n]
- [n+1,1] = [n,48]
The original definition for this notation is obviously ill-defined because there is no rule applicable to [2,2], but later, DeepLineMadom pointed out in that user page and fixed the ill-definedness of the rule applicable to [2,2] by [m+1,n] = [m,48n].
Multiple brackets
- [1][n]@ = [1,1,1,1,...(n "1"s)...,1,1,1,1]@
- [n][k]@ = [n-1][1,1,1,1,...(k "1"s)...,1,1,1,1]@
where @ is any string of brackets. Since Basic Bracket Notation is ill-defined, this notation is also ill-defined.
Examples
- [2] = 482 = 2,304
- [10] = 4810 = 64,925,062,108,545,024
- [1, 1] = [481] = [48] = 4848 ≈ 1080.7
- [1, 2] = [482] = [2,304] = 482,304 ≈ 103,873.58
- [1, 10] = [4810] = [64,925,062,108,545,024] = 4864,925,062,108,545,024 ≈ 10109,154,691,756,057,088
- [1, n] = [48n] = 48(48n)
- [2, 1] = [1, 48] = [[48]] ≈ [1080.70] ≈ \(48^{10^{80.70}}\) ≈ \(10^{10^{80.93}}\)
References
- ↑ Alpineer, Module I: PlantStar’s Debut Notation | PlantStar's Large Numbers, Wordpress.
- ↑ Alpineer, The Next Chapter, Googology Wiki user blog.
- ↑ Alpineer, Article 1.1: The Basic Bracket Notations | PlantStar's Large Numbers, Wordpress.
Lineus series: lineus · planus · spacus · tetrus · pentus · hexus · heptus · octus · nonus · decus · undecus · duodecus · tredecus · vigintus · trigintus · quadragintus
Lineans series: lineans · centus · millus · planans · spacans · tetrans · pentans · decans · vigintans · trigintans · quadragintans · lineduans · centans · planduans · spacduans · decduans · viginduans · linetrians · plantrians · spactrians · dectrians · linequadrans · planquadrans · decquadrans · linequintans · decquintans · linesextans · lineseptans · lineoctans · linenovans · linedecans · lineundecans · linedodecans · linetridecans · lineicosans · linetriacontans · linetetracontans
Enalineans series: enalineans · enaplanans · enaspacans · enadecans · enalineduans · enadecduans · enalinetrians · enalinedecans · enalineicosans · diolineans · dioplanans · diodecans · diolineduans · diolinetrians · diolinedecans · trialineans · triaplanans · trialineduans · trialinedecans · tesseralineans · tesseralineduans · pendelineans · exilineans · eptalineans · oktolineans · enealineans