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Hyp cos' R function goes to really far heights, going beyond any known ordinals in the fast-growing hierarchy. However, unlike the dollar function, whose one of the old versions had some googolisms defined, R function does not have any googolisms defined with it.

Here I'm using the R function to define some googolisms.

While naming, since I'm not that much skilled when it comes to naming, I'm going to plagiarize many naming systems (includes Saibian's, Pteriforever's and more soon) so deal with it.

(Should I go full Saibian with this?)

Basic R function

  • goorol = 100R0
  • goorolplex = 100R0R0
  • goorolduplex = 100R0R0R0
  • girrol = 100R1
  • girrolplex = 100R1R0
  • girrolmonex = 100R1R1
  • girrolmonexiplex = 100R1R1R0
  • girroldumonex = 100R1R1R1
  • granrol = 100R2
  • granrolplex = 100R2R0
  • granrolmonex = 100R2R1
  • granroldex = 100R2R2
  • granroldudex = 100R2R2R2
  • grearol = 100R3
  • grearolthrex = 100R3R3
  • giganrol = 100R4
  • giganroltetrex = 100R4R4
  • gorgerol = 100R5
  • gulrol = 100R6
  • gasprol = 100R7
  • ginorol = 100R8
  • garganturol = 100R9
  • googondrol = 100R10

Brace notation

  • gurold = 100R{0}
  • gurolda-suplex = 100R{0}R{0}
  • gurolda-dusuplex = 100R{0}R{0}R{0}
  • girold = 100R1{0}
  • girolda-sumonex = 100R1{0}R1{0}
  • graatarold = 100R2{0}
  • graatarolda-sudex = 100R2{0}R2{0}
  • greerold = 100R3{0}
  • grinninrold = 100R4{0}
  • golaarold = 100R5{0}
  • gruelohrold = 100R6{0}
  • gasprold = 100R7{0}
  • ginorold = 100R8{0}
  • gargantuurold = 100R9{0}
  • googondrold = 100R10{0}
  • guroldua = 100R{0}{0}
  • guroldua-plexidis = 100R{0}{0}R{0}{0}
  • giroldua = 100R1{0}{0}
  • giroldua-monexidis = 100R1{0}{0}R1{0}{0}
  • graataroldua = 100R2{0}{0}
  • greeroldua = 100R3{0}{0}
  • grinninroldua = 100R4{0}{0}
  • gurolthra = 100R{0}{0}{0}
  • gurolthra-plexitris = 100R{0}{0}{0}R{0}{0}{0}
  • girolthra = 100R1{0}{0}{0}
  • graatarolthra = 100R2{0}{0}{0}
  • guroltesla = 100R{0}{0}{0}{0}
  • gurolpenta = 100R{0}{0}{0}{0}{0}
  • gurolhexa = 100R{0}{0}{0}{0}{0}{0}
  • gurolhepta = 100R{0}{0}{0}{0}{0}{0}{0}
  • gurolocta = 100R{0}{0}{0}{0}{0}{0}{0}{0}
  • gurolenna = 100R{0}{0}{0}{0}{0}{0}{0}{0}{0}
  • guroldeka = 100R{0}{0}{0}{0}{0}{0}{0}{0}{0}{0}
  • moorol = 100R{1}
  • grand moorol = 100R{1}R{1}
  • mirrol = 100R1{1}
  • muranrol = 100R2{1}
  • murearol = 100R3{1}
  • murold = 100R{0}{1}
  • mirold = 100R1{0}{1}
  • muraatarold = 100R2{0}{1}
  • muroldua = 100R{0}{0}{1}
  • murolthra = 100R{0}{0}{0}{1}
  • moodirol = 100R{1}{1}
  • grand moodirol = 100R{1}{1}R{1}{1}
  • midirol = 100R1{1}{1}
  • murandirol = 100R2{1}{1}
  • mudirold = 100R{0}{1}{1}
  • mudiroldua = 100R{0}{0}{1}{1}
  • mudirolthra = 100R{0}{0}{0}{1}{1}
  • mootrirol = 100R{1}{1}{1}
  • mooterol = 100R{1}{1}{1}{1}
  • moopetrol = 100R{1}{1}{1}{1}{1}
  • moohexrol = 100R{1}{1}{1}{1}{1}{1}
  • mooheptrol = 100R{1}{1}{1}{1}{1}{1}{1}
  • moogogdrol = 100R{1}{1}{1}{1}{1}{1}{1}{1}
  • moogentrol = 100R{1}{1}{1}{1}{1}{1}{1}{1}{1}
  • moodekrol = 100R{1}{1}{1}{1}{1}{1}{1}{1}{1}{1}
  • boorol = 100R{2}
  • grand boorol = 100R{2}R{2}
  • birrol = 100R1{2}
  • branrol = 100R2{2}
  • burold = 100R{0}{2}
  • buroldua = 100R{0}{0}{2}
  • buimoorol = 100R{1}{2}
  • buimirrol = 100R1{1}{2}
  • buimurold = 100R{0}{1}{2}
  • buimuroldua = 100R{0}{0}{1}{2}
  • buimoodirol = 100R{1}{1}{2}
  • buimootrirol = 100R{1}{1}{1}{2}
  • budirol = 100R{2}{2}
  • butrirol = 100R{2}{2}{2}
  • throorol = 100R{3}
  • grand throorol = 100R{3}R{3}
  • thrirrol = 100R1{3}
  • thranrol = 100R2{3}
  • thrurold = 100R{0}{3}
  • thruroldua = 100R{0}{0}{3}
  • thrimoorol = 100R{1}{3}
  • thrimoodirol = 100R{1}{1}{3}
  • thriboorol = 100R{2}{3}
  • thriboodirol = 100R{2}{2}{3}
  • throodirol = 100R{3}{3}
  • throotrirol = 100R{3}{3}{3}
  • tetroorol = 100R{4}
  • pentoorol = 100R{5}
  • hexoorol = 100R{6}
  • heptoorol = 100R{7}
  • ogdoorol = 100R{8}
  • entoorol = 100R{9}
  • dektoorol = 100R{10}
  • azerah = 100R{{0}}
  • grand azerah = 100R{{0}}R{{0}}
  • azirah = 100R1{{0}}
  • azrandrah = 100R2{{0}}
  • azeroldrah = 100R{0}{{0}}
  • azimoorah = 100R{1}{{0}}
  • aziboorah = 100R{2}{{0}}
  • azedirah = 100R{{0}}{{0}}
  • azetrirah = 100R{{0}}{{0}}{{0}}
  • azerduroldrah = 100R{1{0}}
  • azerduboorah = 100R{2{0}}
  • azerduthroorah = 100R{3{0}}
  • azerdutetroorah = 100R{4{0}}
  • deutero-azerah = 100R{{0}{0}}
  • deutero-azerduroldrah = 100R{1{0}{0}}
  • deutero-azerduboorah = 100R{2{0}{0}}
  • trito-azerah = 100R{{0}{0}{0}}
  • teterto-azerah = 100R{{0}{0}{0}{0}}
  • azeryarah = 100R{{1}}
  • grand azeryarah = 100R{{1}}R{{1}}
  • azeryardirah = 100R{{1}}{{1}}
  • azeryartrirah = 100R{{1}}{{1}}{{1}}
  • deutero-azeryarah = 100R{{1}{1}}
  • azeraxrah = 100R{{2}}
  • azeracacirah = 100R{{3}}
  • azervvyrah = 100R{{4}}
  • azeralterah = 100R{{5}}
  • azercelerah = 100R{{6}}
  • azertrah = 100R{{7}}
  • azerchaorah = 100R{{8}}
  • azereleverah = 100R{{9}}
  • azercirah = 100R{{10}}
  • drazerah = 100R{{{0}}}
  • grand drazerah = 100R{{{0}}}R{{{0}}}
  • girrol-carta-drazerah = 100R1{{{0}}}
  • gurold-carta-drazerah = 100R{0}{{{0}}}
  • moorol-carta-drazerah = 100R{1}{{{0}}}
  • boorol-carta-drazerah = 100R{2}{{{0}}}
  • azerah-carta-drazerah = 100R{{0}}{{{0}}}
  • drazedirah = 100R{{{0}}}{{{0}}}
  • drazetrirah = 100R{{{0}}}{{{0}}}{{{0}}}
  • drazerah-by-moorol = 100R{1{{0}}}
  • drazerah-by-boorol = 100R{2{{0}}}
  • drazerah-by-azerah = 100R{{0}{{0}}}
  • drazerah-by-azeryarah = 100R{{1}{{0}}}
  • deutero-drazerah = 100R{{{0}}{{0}}}
  • trito-drazerah = 100{{{0}}{{0}}{{0}}}
  • hyper-azerduroldrah = 100R{{1{0}}}
  • hyper-azerduboorah = 100R{{2{0}}}
  • drazerahdeus = 100R{{{0}{0}}}
  • drazerahtruce = 100R{{{0}{0}{0}}}
  • drazerahquad = 100R{{{0}{0}{0}{0}}}
  • drazerahquid = 100R{{{0}{0}{0}{0}{0}}}
  • drazerahsid = 100R{{{0}{0}{0}{0}{0}{0}}}
  • drazerahseptuce = 100R{{{0}{0}{0}{0}{0}{0}{0}}}
  • drazerahoctuce = 100R{{{0}{0}{0}{0}{0}{0}{0}{0}}}
  • drazerahnonice = 100R{{{0}{0}{0}{0}{0}{0}{0}{0}{0}}}
  • drazerahdecice = 100R{{{0}{0}{0}{0}{0}{0}{0}{0}{0}{0}}}
  • drazeryarah = 100R{{{1}}}
  • drazeryadirah = 100R{{{1}}}{{{1}}}
  • deutero-drazeryarah = 100R{{{1}}{{1}}}
  • drazeryarahdeus = 100R{{{1}{1}}}
  • drazeryarahtruce = 100R{{{1}{1}{1}}}
  • drazeraxrah = 100R{{{2}}}
  • drazeracacirah = 100R{{{3}}}
  • drazervvyrah = 100R{{{4}}}
  • drazeralterah = 100R{{{5}}}
  • drazercelerah = 100R{{{6}}}
  • drazertrah = 100R{{{7}}}
  • drazerchaorah = 100R{{{8}}}
  • drazereleverah = 100R{{{9}}}
  • drazercirah = 100R{{{10}}}
  • trazerah = 100R{{{{0}}}}
  • tetrazerah = 100R{{{{{0}}}}}
  • pentazerah = 100R{{{{{{0}}}}}}
  • hexazerah = 100R{{{{{{{0}}}}}}}
  • heptazerah = 100R{{{{{{{{0}}}}}}}}
  • ogdazerah = 100R{{{{{{{{{0}}}}}}}}}
  • ennazerah = 100R{{{{{{{{{{0}}}}}}}}}}
  • dekazerah = 100R{{{{{{{{{{{0}}}}}}}}}}}

Linear array notation

  • aleaxyroth = 100R{0,1}
  • grand aleaxyroth = 100R{0,1}R{0,1}

Some more names for you guys. I'm working for the next batch.

  • girrol-carta-aleaxyroth = 100R1{{0,1}}
  • gurold-carta-aleaxyroth = 100R{0}{{0,1}}
  • azerah-carta-aleaxyroth = 100R{{0}}{{0,1}}
  • drazerah-carta-aleaxyroth = 100R{{{0}}}{{0,1}}
  • aleaxyroth-by-deuteron = 100R{{0,1}}{{0,1}}
  • aleaxyroth-by-triton = 100R{{0,1}}{{0,1}}{{0,1}}
  • aleaxyroth-by-moorol = 100R{1{0,1}}
  • aleaxyroth-by-boorol = 100R{2{0,1}}
  • aleaxyroth-by-azerah = 100R{{0}{0,1}}
  • deutero-aleaxyroth = 100R{{{0,1}}{0,1}}
  • trito-aleaxyroth = 100R{{{0,1}}{{0,1}}{0,1}}
  • aleaxyroth-ipso-moorol = 100R{{1{0,1}}{0,1}}
  • aleaxyroth-ipso-boorol = 100R{{2{0,1}}{0,1}}
  • aleaxyroth-ipso-azerah = 100R{{{0}{0,1}}{0,1}}
  • aleaxyroth-drazerate = 100R{{{{0,1}}{0,1}}{0,1}}
  • aleaxyroth-trazerate = 100R{{{{{0,1}}{0,1}}{0,1}}{0,1}}
  • superior aleaxyroth = 100R{0,1}{0,1}
  • dusuperior aleaxyroth = 100R{0,1}{0,1}{0,1}
  • aleaxymoroth (or grandorior aleaxyroth) = 100R{1,1}
  • superior aleaxymoroth = 100R{1,1}{1,1}
  • aleaxyboroth (or double-grandorior aleaxyroth) = 100R{2,1}
  • superior aleaxyboroth = 100R{2,1}{2,1}
  • aleaxyazeroth = 100R{{0},1}
  • aleaxydrazeroth = 100R{{{0}},1}
  • dustaculated-aleaxyroth = 100R{{{0,1}},1}
  • tristaculated-aleaxyroth = 100R{{{{{0,1}},1}},1}
  • aleaxyareoth = 100R{{0,1},1}
  • grand aleaxyareoth = 100R{{0,1},1}R{{0,1},1}
  • girrol-carta-aleaxyareoth = 100R1{{{0,1},1}}
  • aleaxyareoth-by-moorol = 100R{1{{0,1},1}}
  • deutero-aleaxyareoth = 100R{{{0,1},1}}{{0,1},1}
  • aleaxyareoth-drazerate = 100R{{{{0,1},1}}{{0,1},1}}{{0,1},1}
  • aleaxyroted-aleaxyareoth = 100R{0,1}{{0,1},1}
  • two-ex-aleaxyroted-aleaxyareoth = 100R{0,1}{0,1}{{0,1},1}
  • aleaxymoroted-aleaxyareoth = 100R{1,1}{{0,1},1}
  • superior aleaxyareoth = 100R{{0,1},1}{{0,1},1}
  • aleaxyareomoroth = 100R{1{0,1},1}
  • aleaxyareo-aleaxyroth = 100R{{{0,1}}{0,1},1}
  • dustaculated-aleaxyareoth = 100R{{{{0,1},1}}{0,1},1}
  • tristaculated-aleaxyareoth = 100R{{{{{{0,1},1}}{0,1},1}}{0,1},1}
  • aleaxaxsyroth = 100R{{0,1}{0,1},1}
  • aleaxacacyroth = 100R{{0,1}{0,1}{0,1},1}
  • aleaxvvyngyroth = 100R{{0,1}{0,1}{0,1}{0,1},1}
  • aleaxalteryoth = 100R{{0,1}{0,1}{0,1}{0,1}{0,1},1}
  • aleaxtopoth = 100R{{1,1},1}
  • aleaxtopoyareoth = 100R{{0,1}{1,1},1}
  • aleaxaxstopoth = 100R{{2,1},1}
  • aleaxacactopoth = 100R{{3,1},1}
  • aleaxazertopoth = 100R{{{0},1},1}
  • aleaxdrazertopoth = 100R{{{{0}},1},1}
  • aleaxazerdroth = 100R{{{{0,1}},1},1}
  • grandorior aleaxazerdroth = 100R{{{{1,1}},1},1}
  • aleaxazeryaredroth = 100R{{{{{0,1},1}},1},1}
  • aleaxazeracacidroth = 100R{{{{{0,1}{0,1},1}},1},1}
  • aleaxazervvyndroth = 100R{{{{{0,1}{0,1}{0,1},1}},1},1}
  • aleaxdrazerdroth = 100R{{{{{{{0,1}},1},1}},1},1}
  • grandorior aleaxdrazerdroth = 100R{{{{{{{1,1}},1},1}},1},1}
  • aleaxdrazeryaredroth = 100R{{{{{{{{0,1},1}},1},1}},1},1}
  • aleaxdrazeraxsdroth = 100R{{{{{{{{0,1}{0,1},1}},1},1}},1},1}
  • aleaxtrazerdroth = 100R{{{{{{{{{{0,1}},1},1}},1},1}},1},1}
  • aleaxtetrazerdroth = 100R{{{{{{{{{{{{{0,1}},1},1}},1},1}},1},1}},1},1}
  • aleaxpentazerdroth = 100R{{{{{{{{{{{{{{{{0,1}},1},1}},1},1}},1},1}},1},1}},1},1}
  • draleaxyroth = 100R{{{0,1},1},1}
  • superior draleaxyroth = 100R{{{0,1},1},1}{{{0,1},1},1}
  • draleaxymoroth = 100R{1{{0,1},1},1}
  • draleaxyroth-dry-aleaxyroth = 100R{{0,1}{{0,1},1},1}
  • drasuperior draleaxyroth = 100R{{{0,1},1}{{0,1},1},1}
  • draleaxydramoroth = 100R{{1{0,1},1},1}
  • draleaxydra-aleaxyroth = 100R{{{{0,1}}{0,1},1},1}

To be continued...

It's pretty hard to maintain the consistency of these names. The next update might have some changes of existing names.

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