Members: 287
Zerotar = XTar(1; 0) = Tar(0) = 0
Unitar = XTar(1; 1) = Tar(1) = 2
Bitar = XTar(1; 2) = Tar(2) = f_{C(C(Ω_2·2, 0), 0)}(2) using the fast-growing hierarchy with fundamental sequences for Taranovsky's notation
Tritar = XTar(1; 3) = Tar(3) = f_{C(C(C(Ω_3·2, 0), 0), 0)}(3) using the fast-growing hierarchy with fundamental sequences for Taranovsky's notation
Quadritar = XTar(1; 4) = Tar(4) = f_{C(C(C(C(Ω_4·2, 0), 0), 0), 0)}(4) using the fast-growing hierarchy with fundamental sequences for Taranovsky's notation
Quintitar = XTar(1; 5) = Tar(5) = f_{C(C(C(C(C(Ω_5·2, 0), 0), 0), 0), 0)}(5)
Sextitar = XTar(1; 6) = Tar(6) = f_{C(C(C(C(C(C(Ω_6·2, 0), 0), 0), 0), 0), 0)}(6)
Septitar = XTar(1; 7) = Tar(7)
Octitar = XTar(1; 8) = Tar(8)
Nonitar = XTar(1; 9) = Tar(9)
Decitar = XTar(1; 10) = Tar(10)
Undecitar = XTar(1; 11) = Tar(11)
Duodecitar = XTar(1; 12) = Tar(12)
Vigintitar = XTar(1; 20) = Tar(20)
Trigintitar = XTar(1; 30) = Tar(30)
Centitar = XTar(1; 100) = Tar(100)
Millitar = XTar(1; 1000) = Tar(1,000)
Millionitar = XTar(1; 1000000) = Tar(1,000,000)
Googolitar = XTar(1; 10^100) = Tar(10^100)
Googolplexitar = XTar(1; 10^10^100) = Tar(10^10^100)
Giggolitar = XTar(1; 10^^100) = Tar(10^^100)
Gaggolitar = XTar(1; 10^^^100) = Tar(10^^^100)
Boogolitar = XTar(1; 10{100}10) = Tar(10{100}10)
Grahamitar = XTar(1; G64) = Tar(1; G64)
Treetar = XTar(1; TREE(3)) = Tar(TREE(3))
Simkubitar = XTar(1; SSCG(3)) = Tar(SSCG(3))
Subkubitar = XTar(1; SCG(13)) = Tar(SCG(3))
Super-Bitar = XTar^2(1; 2) = XTar(1; XTar(1; 2)) = Tar(Tar(2)) = XTar(2; 2)
Super-Tritar = XTar^2(1; 3) = XTar(1; XTar(1; 3)) = Tar(Tar(3))
Super-Quadritar = XTar^2(1; 4) = XTar(1; XTar(1; 4)) = Tar(Tar(4))
Super-Quintitar = XTar^2(1; 5) = XTar(1; XTar(1; 5)) = Tar(Tar(5))
Supertar / Super-Decitar = XTar^2(1; 10) = XTar(1; XTar(1; 10)) = Tar(Tar(10))
Super-Centitar = XTar^2(1; 100) = XTar(1; XTar(1; 100)) = Tar(Tar(100))
Super-Millionitar = XTar^2(1; 1000000) = XTar(1; XTar(1; 1000000)) = Tar(Tar(1,000,000))
Super-Googolitar = XTar^2(1; 10^100) = XTar(1; XTar(1; 10^100)) = Tar(Tar(10^100))
Super-Googolplexitar = XTar^2(1; 10^10^100) = XTar(1; XTar(1; 10^10^100)) = Tar(Tar(10^10^100))
Super-Grahamitar = XTar^2(1; G64) = XTar(1; XTar(1; G64)) = Tar(Tar(G64))
Super-Treetar = XTar^2(1; TREE(3)) = XTar(1; XTar(1; TREE(3))) = Tar(Tar(TREE(3)))
Sutria-Tritar = XTar^3(1; 3) = XTar(1; XTar(1; XTar(1; 3))) = Tar(Tar(Tar(3))) = XTar(2; 3)
Sutria-Quadritar = XTar^3(1; 4) = XTar(1; XTar(1; XTar(1; 4))) = Tar(Tar(Tar(4)))
Sutriatar / Super-Decitar = XTar^3(1; 10) = XTar(1; XTar(1; XTar(1; 10))) = Tar(Tar(Tar(10)))
Sutria-Centitar = XTar^3(1; 100) = XTar(1; XTar(1; XTar(1; 100))) = Tar(Tar(Tar(100)))
Sutria-Googolitar = XTar^3(1; 10^100) = XTar(1; XTar(1; XTar(1; 10^100))) = Tar(Tar(Tar(10^100)))
Sutria-Grahamitar = XTar^3(1; G64) = XTar(1; XTar(1; XTar(1; G64))) = Tar(Tar(Tar(G64)))
Sutria-Treetar = XTar^3(1; TREE(3)) = XTar(1; XTar(1; XTar(1; TREE(3)))) = Tar(Tar(Tar(TREE(3))))
Sutetra-Tritar = XTar^4(1; 3) = XTar(1; XTar(1; XTar(1; XTar(1; 3)))) = Tar(Tar(Tar(Tar(3))))
Sutetratar / Sutetra-Decitar = XTar^4(1; 10) = XTar(1; XTar(1; XTar(1; XTar(1; 10)))) = Tar(Tar(Tar(Tar(10))))
Sutetra-Centitar = XTar^4(1; 100) = XTar(1; XTar(1; XTar(1; XTar(1; 100)))) = Tar(Tar(Tar(Tar(100))))
Sutetra-Grahamitar = XTar^4(1; G64) = XTar(1; XTar(1; XTar(1; XTar(1; G64)))) = Tar(Tar(Tar(Tar(G64))))
Supentatar = XTar^5(1; 10) = XTar(1; XTar(1; XTar(1; XTar(1; XTar(1; 10))))) = Tar(Tar(Tar(Tar(Tar(10))))) = Tar^5(10)
Suhexatar = XTar^6(1; 10) = XTar(1; XTar(1; XTar(1; XTar(1; XTar(1; XTar(1; 10)))))) = Tar(Tar(Tar(Tar(Tar(Tar(10)))))) = Tar^6(10)
Suheptatar = XTar^7(1; 10) = Tar^7(10)
Suoctatar = XTar^8(1; 10) = Tar^8(10)
Suennatar = XTar^9(1; 10) = Tar^9(10)
Sudekatar = XTar^10(1; 10) = Tar^10(10) = XTar(2; 10)
Suhectatar = XTar^100(1; 10) = Tar^100(10)
Suchilatar = XTar^1,000(1; 10) = Tar^1,000(10)
Sumilliontar = XTar^1,000,000(1; 10) = Tar^1,000,000(10)
Sugoogoltar = XTar^10^100(1; 10) = Tar^10^100(10)
Sugoogolplextar = XTar^10^10^100(1; 10) = Tar^10^10^100(10)
Sugrahamtar = XTar^G64(1; 10) = Tar^G64(10)
Sutreetar = XTar^TREE(3)(1; 10) = Tar^TREE(3)(10)
Sutritar-tar = XTar^Tar(3)(1; 10) = Tar^Tar(3)(10)
Suquadritar-tar = XTar^Tar(4)(1; 10) = Tar^Tar(4)(10)
Suquintitar-tar = XTar^Tar(5)(1; 10) = Tar^Tar(5)(10)
Sudecitar-tar = XTar^Tar(10)(1; 10) = Tar^Tar(10)(10)
Sucentitar-tar = XTar^Tar(100)(1; 10) = Tar^Tar(100)(10)
Sugoogoltar-tar = XTar^Tar(10^100)(1; 10) = Tar^Tar(10^100)(10)
Sugoogolplextar-tar = XTar^Tar(10^10^100)(1; 10) = Tar^Tar(10^10^100)(10)
Sugrahamtar-tar = XTar^Tar(G64)(1; 10) = Tar^Tar(G64)(10)
Sutreetar-tar = XTar^Tar(TREE(3))(1; 10) = Tar^Tar(TREE(3))(10)
Susuper-tritar-tar = XTar^Tar(Tar(3))(1; 10) = Tar^Tar(Tar(3))(10)
Susuper-decitar-tar = XTar^Tar(Tar(10))(1; 10) = Tar^Tar(Tar(10))(10)
Susutria-decitar-tar = XTar^Tar(Tar(Tar(10)))(1; 10) = Tar^Tar(Tar(Tar(10)))(10)
Sualpha-decitar = XTar^{XTar(1; 10)}(1; 10) = Tar^{Tar^10(10)}(10)
Secundar-bitar = XTar(2; 2) = XTar^2(1; 2) = XTar(1; XTar(1; 2)) = Tar(Tar(2))
Secundar-tritar = XTar(2; 3) = XTar^3(1; 3) = XTar(1; XTar(1; XTar(1; 3))) = Tar(Tar(Tar(3)))
Secundar-quadritar = XTar(2; 4) = XTar^3(1; 4) = XTar(1; XTar(1; XTar(1; XTar(1; 4)))) = Tar(Tar(Tar(Tar(4))))
Secundartar / Secundar-decitar = XTar(2; 10) = XTar^10(1; 10) = Tar^10(10)
Secundar-centitar = XTar(2; 100) = XTar^100(1; 100) = Tar^100(100)
Secundar-googoltar = XTar(2; 10^100) = XTar^10^100(1; 10^100) = Tar^10^100(10^100)
Secundar-googolplextar = XTar(2; 10^10^100) = XTar^10^10^100(1; 10^10^100) = Tar^10^10^100(10^10^100)
Secundar-grahamtar = XTar(2; G64) = XTar^G64(1; G64) = Tar^G64(G64)
Secundar-treetar = XTar(2; TREE(3)) = XTar^TREE(3)(1; TREE(3)) = Tar^TREE(3)(TREE(3))
Secundartar-tritar = XTar(2; XTar(1; 3))
Secundartar-quadritar = XTar(2; XTar(1; 4))
Secundartar-decitar = XTar(2; XTar(1; 10))
Secundartar-centitar = XTar(2; XTar(1; 100))
Secundartar-googoltar = XTar(2; XTar(1; 10^100))
Secundartar-grahamtar = XTar(2; XTar(1; G64))
Secundartar-supertar = XTar(2; XTar^2(1; 10))
Secundartar-sutriatar = XTar(2; XTar^3(1; 10))
Secundartar-sutetratar = XTar(2; XTar^4(1; 10))
Secundartar-sudekatar = XTar(2; XTar^10(1; 10))
Super-secundar-tritar = XTar(2; XTar(2; 3))
Super-secundartar / Super-secundar-decitar = XTar(2; XTar(2; 10))
Super-secundar-centitar = XTar(2; XTar(2; 100))
Super-secundar-googoltar = XTar(2; XTar(2; 10^100))
Super-secundar-grahamtar = XTar(2; XTar(2; G64))
Super-secundartar-tritar = XTar(2; XTar(2; XTar(1; 3)))
Super-secundartar-decitar = XTar(2; XTar(2; XTar(1; 10)))
Super-secundartar-supertar = XTar(2; XTar(2; XTar^2(1; 10)))
Sutria-secundartar / Sutria-secundar-decitar = XTar^3(2; 10) = XTar(2; XTar(2; XTar(2; 10)))
Sutria-secundartar-decitar = XTar^3(2; Tar(1; 10))
Sutria-secundartar-supertar = XTar^3(2; Tar^2(1; 10))
Sutetra-secundartar = XTar^4(2; 10)
Supenta-secundartar = XTar^5(2; 10)
Suhexa-secundartar = XTar^6(2; 10)
Sudeka-secundartar = XTar^10(2; 10)
Suhecta-secundartar = XTar^100(2; 10)
Sugoogol-secundartar = XTar^10^100(2; 10)
Sugoogolplex-secundartar = XTar^10^10^100(2; 10)
Sugraham-secundartar = XTar^G64(2; 10)
Sutree-secundartar = XTar^TREE(3)(2; 10)
Sudecitar-secundartar = XTar^{XTar(1; 10)}(2; 10)
Susupertar-secundartar = XTar^{XTar^2(1; 10)}(2; 10)
Sualpha-secundartar = XTar^{XTar(2; 10)}(2; 10)
Triolar-tritar = XTar(3; 3) = XTar^3(2; 3) = XTar(2; XTar(2; XTar(2; 3)))
Triolartar / Triolar-decitar = XTar(3; 10) = XTar^10(2; 10)
Triolar-centitar = XTar(3; 100)
Triolar-googoltar = XTar(3; 10^100)
Triolar-googolplextar = XTar(3; 10^10^100)
Triolar-grahamtar = XTar(3; G64)
Triolar-treetar = XTar(3; TREE(3))
Triolartar-tritar = XTar(3; XTar(1; 3))
Triolartar-decitar = XTar(3; XTar(1; 10))
Triolartar-centitar = XTar(3; XTar(1; 100))
Triolartar-grahamtar = XTar(3; XTar(1; G64))
Triolartar-supertar = XTar(3; XTar^2(1; 10))
Triolartar-secundartar = XTar(3; XTar(2; 10))
Triolartar-super-secundartar = XTar(3; XTar^2(2; 10))
Super-triolartar / Super-triolar-decitar = XTar^2(3; 10)
Super-triolar-centitar = XTar^2(3; 100)
Super-triolar-grahamtar = XTar^2(3; G64)
Super-triolartar-decitar = XTar^2(3; XTar(1; 10))
Super-triolartar-secundartar = XTar^2(3; XTar(2; 10))
Sutria-triolartar = XTar^3(3; 10)
Sutetra-triolartar = XTar^4(3; 10)
Sudeka-triolartar = XTar^10(3; 10)
Suhecta-triolartar = XTar^100(3; 10)
Sugoogol-triolartar = XTar^10^100(3; 10)
Sugraham-triolartar = XTar^G64(3; 10)
Sualpha-triolartar = XTar^{Tar(3; 10)}(10)
Tetariolar-tritar = XTar(4; 3)
Tetariolartar / Tetariolar-decitar = XTar(4; 10)
Tetariolar-centitar = XTar(4; 100)
Tetariolartar-decitar = XTar(4; XTar(1; 10))
Tetariolartar-secundartar = XTar(4; XTar(2; 10))
Tetariolartar-triolartar = XTar(4; XTar(3; 10))
Super-tetariolartar = XTar^2(4; 10)
Sutria-tetariolartar = XTar^3(4; 10)
Sutetra-tetariolartar = XTar^4(4; 10)
Sudeka-tetariolartar = XTar^10(4; 10)
Suhecta-tetariolartar = XTar^100(4; 10)
Sualpha-tetariolartar = XTar^{XTar(4; 10)}(4; 10)
Petariolar-tritar = XTar(5; 3)
Petariolartar / Petariolar-decitar = XTar(5; 10)
Petariolartar-decitar = XTar(5; XTar(1; 10))
Super-petariolartar = XTar^2(5; 10)
Sutria-petariolartar = XTar^3(5; 10)
Hexariolartar = XTar(6; 10)
Super-hexariolartar = XTar^2(6; 10)
Hepariolartar = XTar(7; 10)
Ottariolartar = XTar(8; 10)
Novariolartar = XTar(9; 10)
Deciriolartar = XTar(10; 10)
Undeciriolartar = XTar(11; 10)
Duodeciriolartar = XTar(12; 10)
Ventiriolartar = XTar(20; 10)
Trentiriolartar = XTar(30; 10)
Centiriolartar = XTar(100; 10)
Milliriolartar = XTar(1000; 10)
Millioniriolartar = XTar(1000000; 10)
Googoliriolartar = XTar(10^100; 10)
Googolplexiriolartar = XTar(10^10^100; 10)
Grahamiriolartar = XTar(G64; 10)
Treeriolartar = XTar(TREE(3); 10)
Tritar-riolartar = XTar(XTar(1; 3); 10)
Quadritar-riolartar = XTar(XTar(1; 4); 10)
Decitar-riolartar = XTar(XTar(1; 10); 10)
Super-decitar-riolartar = XTar(XTar^2(1; 10); 10)
Secundartar-riolartar = XTar(XTar(2; 10); 10)
Triolartar-riolartar = XTar(XTar(3; 10); 10)
Deciriolartar-riolartar = XTar(XTar(10; 10); 10)
Deciriolartar-riolartar-riolartar = XTar(XTar(XTar(10; 10); 10); 10)
Alpha-riolartar = XTar(XTar(XTar(... XTar(XTar(XTar(10; 10); 10); 10) ...; 10); 10); 10) w/ 10 XTar's
Omega-tritar = XTar(ω; 3) = XTar(3; 3)
Omega-quadritar = XTar(ω; 4) = XTar(4; 4)
Omega-quintitar = XTar(ω; 5) = XTar(5; 5)
Omega-sextitar = XTar(ω; 6) = XTar(5; 6)
Omegatar / Omega-decitar = XTar(ω; 10) = XTar(10; 10)
Omega-centitar = XTar(ω; 100) = XTar(100; 100)
Omega-googoltar = XTar(ω; 10^100)
Omega-googolplextar = XTar(ω; 10^10^100)
Omega-grahamtar = XTar(ω; G64)
Omega-treetar = XTar(ω; TREE(3))
Omegatar-tritar = XTar(ω; XTar(1; 3))
Omegatar-decitar = XTar(ω; XTar(1; 10))
Omegatar-secundartar = XTar(ω; XTar(2; 10))
Omegatar-triolartar = XTar(ω; XTar(3; 10))
Super-omegatar = XTar^2(ω; 10) = XTar(ω; XTar(ω; 10)) = XTar(ω; XTar(10; 10))
Super-omegatar-decitar = XTar^2(ω; XTar(1; 10))
Sutria-omegatar-decitar = XTar^3(ω; 10)
Sutetra-omegatar-decitar = XTar^4(ω; 10)
Omega-unixtar = XTar(ω + 1; 10)
Super-omega-unixtar = XTar^2(ω + 1; 10)
Omega-dunixtar = XTar(ω + 2; 10)
Omega-trunixtar = XTar(ω + 3; 10)
Omega-quadrunixtar = XTar(ω + 4; 10)
Biomegatar / Omega-decunixtar = XTar(ω2; 10) = XTar(ω + 10; 10)
Biomega-unixtar = XTar(ω2 + 1; 10)
Biomega-dunixtar = XTar(ω2 + 2; 10)
Triomegatar = XTar(ω3; 10)
Quadriomegatar = XTar(ω4; 10)
Gridomegatar / Deciomegatar = XTar(ω^2; 10) = XTar(ω10; 10)
Gridomega-unixtar = XTar(ω^2 + 1; 10)
Gridomega-omegatar = XTar(ω^2 + ω; 10)
Gridomega-biomegatar = XTar(ω^2 + ω2; 10)
Dugridomegatar = XTar(ω^2 · 2; 10)
Trigridomegatar = XTar(ω^2 · 3; 10)
Cubomegatar = XTar(ω^3; 10)
Ducubomegatar = XTar(ω^3 · 2; 10)
Tessomegatar = XTar(ω^4; 10)
Pentomegatar = XTar(ω^5; 10)
Hyperomegatar / Dekomegatar = XTar(ω^ω; 10) = XTar(ω^10; 10)
Hyperomega-unixtar = XTar(ω^ω + 1; 10)
Hyperomega-omegatar = XTar(ω^ω + ω; 10)
Hyper-duomegatar = XTar(ω^ω · 2; 10)
Hyperunix-omegatar = XTar(ω^(ω + 1); 10)
Hyperdunix-omegatar = XTar(ω^(ω + 2); 10)
Hyperbiomegatar = XTar(ω^ω2; 10)
Hypertriomegatar = XTar(ω^ω3; 10)
Hypergridomegatar = XTar(ω^ω^2; 10)
Hyperdugridomegatar = XTar(ω^(ω^2 · 2); 10)
Hypercubomegatar = XTar(ω^ω^3; 10)
Hypertessomegatar = XTar(ω^ω^4; 10)
Tristo-hyperomegatar = XTar(ω^ω^ω; 10)
Tristo-hyper-deusto-biomegatar = XTar(ω^(ω^ω · 2); 10)
Tristo-hyperunix-omegatar = XTar(ω^ω^(ω + 1); 10)
Tristo-hyperbiomegatar = XTar(ω^ω^ω2; 10)
Tristo-hypergridomegatar = XTar(ω^ω^ω^2; 10)
Tristo-hypercubomegatar = XTar(ω^ω^ω^3; 10)
Teristo-hyperomegatar = XTar(ω^ω^ω^ω; 10)
Teristo-hypergridomegatar = XTar(ω^ω^ω^ω^2; 10)
Pesto-hyperomegatar = XTar(ω^ω^ω^ω^ω; 10)
Existo-hyperomegatar = XTar(ω^ω^ω^ω^ω^ω; 10)
Episto-hyperomegatar = XTar(ω^ω^ω^ω^ω^ω^ω; 10)
Ogisto-hyperomegatar = XTar(ω^ω^ω^ω^ω^ω^ω^ω; 10)
Enisto-hyperomegatar = XTar(ω^ω^ω^ω^ω^ω^ω^ω^ω; 10)
Dekisto-hyperomegatar = XTar(ω^ω^ω^ω^ω^ω^ω^ω^ω^ω; 10)
Epsilontar = XTar(ε0; 10)
Super-epsilontar = XTar^2(ε0; 10)
Epsilon-unixtar = XTar(ε0 + 1; 10)
Epsilon-omegatar = XTar(ε0 + ω; 10)
Duepsilontar = XTar(ε0 · 2; 10)
Omega-epsilontar = XTar(ε0 · ω; 10)
Square-epsilontar = XTar(ε0^2; 10)
Hyper-omega-epsilontar = XTar(ε0^ω; 10)
Hyper-hyper-epsilontar = XTar(ε0^ε0; 10)
Hyper-hyper-hyper-epsilontar = XTar(ε0^ε0^ε0; 10)
Epsilountar = XTar(ε1; 10)
Epsilobintar = XTar(ε2; 10)
Epsilo-omegatar = XTar(εω; 10)
Epsilo-epsilontar = XTar(ε(ε0); 10)
Zetatar = XTar(ζ0; 10)
Epsilo-zetatar = XTar(ε(ζ0 + 1); 10)
Zetauntar = XTar(ζ1; 10)
Zeta-omegatar = XTar(ζω; 10)
Zeta-zetatar = XTar(ζ(ζ0); 10)
Etatar = XTar(η0; 10)
Phitertar = XTar(φ(4, 0); 10)
Phipettar = XTar(φ(5, 0); 10)
Phiomegatar = XTar(φ(ω, 0); 10)
Phiepsilontar = XTar(φ(ε0, 0); 10)
Phizetatar = XTar(φ(ζ0, 0); 10)
Gammatar = XTar(Γ0; 10)
Ackertar = XTar(φ(1,0,0,0); 10)
Subveblentar = XTar(SVO; 10) (SVO = small Veblen ordinal = ψ0(Ω^Ω^ω))
Veblentar = XTar(LVO; 10) (SVO = large Veblen ordinal = ψ0(Ω^Ω^Ω))
Superveblentar = XTar(ψ0(Ω^Ω^Ω^Ω); 10)
Bachortar = XTar(BHO; 10) (BHO = Bachmann-Howard ordinal = ψ0(Ω_2))
Tri-buchholztar = XTar(ψ0(Ω_3); 0)
Buchholztar = XTar(BO; 0) (BO = Buchholz's ordinal = ψ0(Ω_ω))
Takeutar = XTar(TFBO; 0) (TFBO = Takeuti-Feferman-Buchholz ordinal = ψ0(Ω_(ω + 1)))
Nestibuchholztar = XTar(ψ0(Ω_Ω); 0)
Trestibuchholztar = XTar(ψ0(Ω_Ω_Ω); 0)
Extebuchholztar = XTar(EBO; 0) (EBO = the countable limit of the extended Buchholz's function (Extended Buchholz's ordinal))
Coming soon!