Happy Birthday, Donald Knuth turned 86! I am going to create the new numbers based off Knuth's Fancy K (10^^^10, a.k.a. deka-taxis by Sbiis Saibian).
Formerly known as "Super K is There".
Current members: 268
Peta K = 10^^^^^3 = 10^^^^10^^^^10 (*a.k.a. tria-exaxis)
Exa K = 10^^^^^^3 = 10^^^^^10^^^^^10 (*a.k.a. tria-eptaxis)
Zetta K = 10^^^^^^^3 (7 arrows) (*a.k.a. tria-octaxis)
Yotta K = 10^^^^^^^^3 (8 arrows) (*a.k.a. tria-ennaxis)
Ronna K = 10^^^^^^^^^3 (9 arrows) (*a.k.a. tria-dekaxis)
Quetta K = 10^^^^^^^^^^3 (10 arrows) (*a.k.a. tria-endekaxis)
Onze K = 10^^^^^^^^^^^3 (11 arrows) (*a.k.a. tria-dodekaxis)
Douze K = 10^^^^^^^^^^^^3 (12 arrows)
Treize K = 10^^^^^^^^^^^^^3 (13 arrows)
Quatorze K = 10^^^^^^^^^^^^^^3 (14 arrows)
Quinze K = 10^^^^^^^^^^^^^^^3 (15 arrows)
Seize K = 10^^^^^^^^^^^^^^^^3 (16 arrows)
Vingt K = 10^^^^^^^^^^^^^^^^^^^^3 (20 arrows)
Trente K = 10{30}3
Quarante K = 10{40}3
Cinquante K = 10{50}3
Soixante K = 10{60}3
Quatre-vingts K = 10{80}3
Cent K = 10{100}3
Deux-cents K = 10{200}3
Trois-cents K = 10{300}3
Cinq-cents K = 10{500}3
Mille K = 10{1000}3
Million K = 10{1000000}3
Mini K = 10^^^3 = 10^^10^^10 (*a.k.a. tria-taxis)
Tiny K = 10^^3 = 10^10^10 = 10^10,000,000,000 (*a.k.a. trialogue)
Proto K = 10^3 = 1,000
Superior Proto K = 10{1,000}10
Superior Tiny K = 10{10^^3}10 = 10{10^10^10}10 = 10{10^10,000,000,000}10
Superior Mini K = 10{10^^^3}10
Superior Super K = 10{10^^^^3}10
Superior Super K Jr. = 10{10^^^^3}3
Superior Peta K = 10{10^^^^^3}10
Superior Exa K = 10{10^^^^^^3}10
Superior Zetta K = 10{10{7}3}10
Superior Yotta K = 10{10{8}3}10
Superior Ronna K = 10{10{9}3}10
Superior Quetta K = 10{10{10}3}10
Double Superior Proto K = 10{10{1,000}10}10
Double Superior Tiny K = 10{10{10^10^10}10}10
Double Superior Mini K = 10{10{10^^^3}10}10
Double Superior Super K = 10{10{10^^^^3}10}10
Triple Superior Super K = 10{10{10{10^^^^3}10}10}10
Quadruple Superior Super K = 10{10{10{10{10^^^^3}10}10}10}10
Corporal Proto K = {10, 1000, 1, 2} in BEAF
Corporal Tiny K = {10, 10^10^10, 1, 2} in BEAF
Corporal Mini K = {10, 10^^^3, 1, 2} in BEAF
Corporal Super K = {10, 10^^^^3, 1, 2} in BEAF
Superior Corporal Super K = {10, {10, 10^^^^3, 1, 2}, 1, 2} in BEAF
Mulporal Super K = {10, 10^^^^3, 2, 2} in BEAF
Powporal Super K = {10, 10^^^^3, 3, 2} in BEAF
Terporal Super K = {10, 10^^^^3, 4, 2} in BEAF
Hyporal Super K = {10, 10, 10^^^^3, 2} in BEAF
Corplodal Super K = {10, 10^^^^3, 1, 3} in BEAF
Mulplodal Super K = {10, 10^^^^3, 2, 3} in BEAF
Hyplodal Super K = {10, 10, 10^^^^3, 3} in BEAF
Cordetal Super K = {10, 10^^^^3, 1, 4} in BEAF
Hydetal Super K = {10, 10, 10^^^^3, 4} in BEAF
Hypental Super K = {10, 10, 10^^^^3, 5} in BEAF
Hyhexal Super K = {10, 10, 10^^^^3, 6} in BEAF
General Super K = {10, 10, 10, 10^^^^3} in BEAF
Superior General Super K = {10, 10, 10, {10, 10, 10, 10^^^^3}} in BEAF
Antrial K = {10, 10^^^^3, 1, 1, 2} in BEAF
Butrial K = {10, 10^^^^3, 2, 1, 2} in BEAF
Coptrial K = {10, 10, 10^^^^3, 1, 2} in BEAF
Acoptrial K = {10, 10^^^^3, 1, 2, 2} in BEAF
Boptrial K = {10, 10, 10^^^^3, 2, 2} in BEAF
Troptrial K = {10, 10, 10^^^^3, 3, 2} in BEAF
Tridal K = {10, 10, 10, 10^^^^3, 2} in BEAF
Antridal K = {10, 10^^^^3, 1, 1, 3} in BEAF
Coptridal K = {10, 10, 10^^^^3, 1, 3} in BEAF
Tritral K = {10, 10, 10, 10^^^^3, 3} in BEAF
Triteral K = {10, 10, 10, 10^^^^3, 4} in BEAF
Tripetal K = {10, 10, 10, 10^^^^3, 5} in BEAF
Quadrial K = {10, 10, 10, 10, 10^^^^3} in BEAF
Anquadrial K = {10, 10^^^^3, 1, 1, 1, 2} in BEAF
Copquadrial K = {10, 10, 10^^^^3, 1, 1, 2} in BEAF
Trioquadrial K = {10, 10, 10, 10^^^^3, 1, 2} in BEAF
Quadridal K = {10, 10, 10, 10, 10^^^^3, 2} in BEAF
Quadritral K = {10, 10, 10, 10, 10^^^^3, 3} in BEAF
Quintial K = {10, 10, 10, 10, 10, 10^^^^3} in BEAF
Quintidal K = {10, 10, 10, 10, 10, 10^^^^3, 2} in BEAF
Sextial K = {10, 10, 10, 10, 10, 10, 10^^^^3} in BEAF
Septial K = {10, 10, 10, 10, 10, 10, 10, 10^^^^3} in BEAF
Octial K = {10, 10, 10, 10, 10, 10, 10, 10, 10^^^^3} in BEAF
Lineal K = {10, 10^^^^3 (1) 2} in BEAF
Lineal K v1.1 = {10, 10^^^^3, 2 (1) 2} in BEAF
Lineal K v1.2 = {10, 10, 10^^^^3 (1) 2} in BEAF
Lineal K v1.3 = {10, 10, 10, 10^^^^3 (1) 2} in BEAF
Lineal K v1.4 = {10, 10^^^^3 (1) 3} in BEAF
Lineal K v1.5 = {10, 10^^^^3 (1) 4} in BEAF
Lineal K v1.6 = {10, 10 (1) 10^^^^3} in BEAF
Lineal K v1.7 = {10, 10 (1) 10, 10^^^^3} in BEAF
Lineal K v1.8 = {10, 10^^^^3 (1)(1) 2} in BEAF
Lineal K v1.9 = {10, 10^^^^3 (1)(1)(1) 2} in BEAF
Dimenal K = {10, 10^^^^3 (2) 2} in BEAF
Dimenal K v2.1 = {10, 10 (2) 10^^^^3} in BEAF
Dimenal K v2.2 = {10, 10^^^^3 (2)(1) 2} in BEAF
Dimenal K v2.3 = {10, 10^^^^3 (2)(2) 2} in BEAF
Dimenal K v2.4 = {10, 10^^^^3 (3) 2} in BEAF
Dimenal K v2.5 = {10, 10^^^^3 (3)(3) 2} in BEAF
Dimenal K v2.6 = {10, 10^^^^3 (4) 2} in BEAF
Dimenal K v2.7 = {10, 10^^^^3 (5) 2} in BEAF
Dimenal K v2.8 = {10, 10^^^^3 (6) 2} in BEAF
Trimenal K = {10, 10^^^^3 (0, 1) 2} in BEAF
Trimenal K v3.1 = {10, 10^^^^3 (0, 1)(0, 1) 2} in BEAF
Trimenal K v3.2 = {10, 10^^^^3 (1, 1) 2} in BEAF
Trimenal K v3.3 = {10, 10^^^^3 (2, 1) 2} in BEAF
Trimenal K v3.4 = {10, 10^^^^3 (0, 2) 2} in BEAF
Trimenal K v3.5 = {10, 10^^^^3 (0, 3) 2} in BEAF
Trimenal K v3.6 = {10, 10^^^^3 (0, 0, 1) 2} in BEAF
Trimenal K v3.7 = {10, 10^^^^3 (0, 0, 0, 1) 2} in BEAF
Trimenal K v3.8 = {10, 10^^^^3 (0, 0, 0, 0, 1) 2} in BEAF
Trimenal K v3.9 = {10, 10^^^^3 (0, 0, 0, 0, 0, 1) 2} in BEAF
Permenal K = {10, 10^^^^3 ((1) 1) 2} in BEAF
Permenal K v4.1 = {10, 10^^^^3 ((1) 0, 1) 2} in BEAF
Permenal K v4.2 = {10, 10^^^^3 ((1)(1) 1) 2} in BEAF
Permenal K v4.3 = {10, 10^^^^3 ((2) 1) 2} in BEAF
Permenal K v4.4 = {10, 10^^^^3 ((3) 1) 2} in BEAF
Permenal K v4.5 = {10, 10^^^^3 ((4) 1) 2} in BEAF
Permenal K v4.6 = {10, 10^^^^3 ((0, 1) 1) 2} in BEAF
Permenal K v4.7 = {10, 10^^^^3 ((0, 2) 1) 2} in BEAF
Permenal K v4.8 = {10, 10^^^^3 ((0, 0, 1) 1) 2} in BEAF
Permenal K v4.9 = {10, 10^^^^3 ((0, 0, 0, 1) 1) 2} in BEAF
Permenal K v4.10 = {10, 10^^^^3 (((1) 1) 1) 2} in BEAF
Permenal K v4.11 = {10, 10^^^^3 (((2) 1) 1) 2} in BEAF
Permenal K v4.12 = {10, 10^^^^3 (((0, 1) 1) 1) 2} in BEAF
Permenal K v4.13 = {10, 10^^^^3 ((((1) 1) 1) 1) 2} in BEAF
Permenal K v4.14 = {10, 10^^^^3 ((((0, 1) 1) 1) 1) 2} in BEAF
Permenal K v4.15 = {10, 10^^^^3 (((((1) 1) 1) 1) 1) 2} in BEAF
Permenal K v4.16 = {10, 10^^^^3 (((((0, 1) 1) 1) 1) 1) 2} in BEAF
Tetmenal K = X^^(10^^3) & 10 in BEAF tetrational arrays = {10, 10^^^^3 (((...(((0, 1) 1) 1) ...) 1) 1) 1) 2} w/ (10^^^^3)/2 pairs of parentheses in BEAF
Grand K = 10^^^^4 (*a.k.a. tetra-petaxis)
Grand grand K = 10^^^^5 (*a.k.a. penta-petaxis)
Grand grand grand K = 10^^^^6 (*a.k.a. hexa-petaxis)
Grand grand grand grand K = 10^^^^7 (*a.k.a. hepta-petaxis)
Five-ex-grand K = 10^^^^8 (*a.k.a. octa-petaxis)
Six-ex-grand K = 10^^^^9 (*a.k.a. enna-petaxis)
Seven-ex-grand K = 10^^^^10 (*a.k.a. deka-petaxis)
Ten-ex-grand K = 10^^^^13
Hundred-ex-grand K = 10^^^^103
Super-K-ex-grand K = 10^^^^(10^^^^3 + 3)
Grand Peta K = 10^^^^^4 (*a.k.a. tetra-exaxis)
Grand Exa K = 10^^^^^^4 (*a.k.a. tetra-eptaxis)
Grand Zetta K = 10^^^^^^^4 (7 arrows) (*a.k.a. tetra-octaxis)
Grand Yotta K = 10^^^^^^^^4 (8 arrows) (*a.k.a. tetra-ennaxis)
Grand Ronna K = 10^^^^^^^^^4 (9 arrows) (*a.k.a. tetra-dekaxis)
Grand Quetta K = 10^^^^^^^^^^4 (10 arrows) (*a.k.a. tetra-endekaxis)
Grand Onze K = 10^^^^^^^^^^^4 (11 arrows) (*a.k.a. tetra-dodekaxis)
Grand Mini K = 10^^^4 = 10^^10^^10^^10 (*a.k.a. tetra-taxis)
Grand Tiny K = 10^^4 = 10^10^10^10 = 10^10^10,000,000,000 (*a.k.a. tetralogue)
Grand Proto K = 10^4 = 10,000
Grand grand Mini K = 10^^^5 (*a.k.a. penta-taxis)
Grand grand Tiny K = 10^^5 = 10^10^10^10^10 (*a.k.a. pentalogue)
Grand grand Proto K = 10^5 = 100,000
Great Super K = 10^^^^10^^^^3 = 10^^^^10^^^10^^^10
Great great Super K = 10^^^^10^^^^10^^^^3
Great great great Super K = 10^^^^10^^^^10^^^^10^^^^3
Great Peta K = 10^^^^^10^^^^^3
Great Exa K = 10^^^^^^10^^^^^^3
Tiny-Augmented Proto K = 10^^10^3 = 10^^1,000
Mini-Augmented Tiny K = 10^^^10^^3 = 10^^^10^10^10
Super-Augmented Mini K = 10^^^^10^^^3 = 10^^^^10^^10^^10
Peta-Augmented Super K = 10^^^^^10^^^^3
Exa-Augmented Peta K = 10^^^^^^10^^^^^3
Double-Super-Augmented Mini K = 10^^^^10^^^^10^^^3
Sub-Proto K from Multiplication = 10*3 = 30
Sub-Proto K from Addition = 10+3 = 13
Sub-Proto K Successor = 10+1 = 11
Reverse K from Predecessor = 10-1 = 9
Reverse K from Subtraction = 10-3 = 7
Reverse K from Division = 10/3 ~ 3.3333333333333333333333333333333...
Reverse K from Cube Root = 10^(1/3) ~ 2.1544346900318837217592935665194
Reverse K from Base 3 Logarithm = log3(10) ~ 2.0959032742893846042965675220214
Proto-Augmented Sub-Proto K from Multiplication = 10^30 = 1,000,000,000,000,000,000,000,000,000,000
Proto-Augmented Sub-Proto K from Addition = 10^13 = 10,000,000,000,000
Proto-Augmented Sub-Proto K Successor = 10^11 = 100,000,000,000
Sub-Proto-Multiplied Sub-Proto K from Addition = 10*13 = 130
Sub-Proto-Added Sub-Proto-K successor = 10+11 = 21
Tiny-Augmented Sub-Proto-K from Multiplication = 10^^30
Tiny-Augmented Sub-Proto-K from Addition = 10^^13
Tiny-Augmented Sub-Proto-K Successor = 10^^11
Base-Super-K-Giggol = (10^^^^3)^^100
Base-Super-K-Gaggol = (10^^^^3)^^^100
Base-Super-K-Geegol = (10^^^^3)^^^^100
Base-Super-K-Gigol = (10^^^^3)^^^^^100
Base-Super-K-Goggol = (10^^^^3)^^^^^^100
Base-Super-K-Gagol = (10^^^^3)^^^^^^^100
Base-Super-K-Boogol = {10^^^^3, 10^^^^3, 100}
Base-Super-K-Grangol = E[E1#1#1#3]100#100 in Hyper-E
Base-Super-K-Greagol = E[E1#1#1#3]100#100#100 in Hyper-E
Base-Super-K-Gigangol = E[E1#1#1#3]100#100#100#100 in Hyper-E
Base-Super-K-Gorgegol = E[E1#1#1#3]100#100#100#100#100 in Hyper-E
Base-Super-K-Gulgol = E[E1#1#1#3]100#100#100#100#100#100 in Hyper-E
Base-Super-K-Gaspgol = E[E1#1#1#3]100#100#100#100#100#100#100 in Hyper-E
Base-Super-K-Ginorgol = E[E1#1#1#3]100#100#100#100#100#100#100#100 in Hyper-E
Base-Super-K-Gargantuul = E[E1#1#1#3]100#100#100#100#100#100#100#100#100 in Hyper-E
Base-Super-K-Googondol = E[E1#1#1#3]100#100#100#100#100#100#100#100#100#100 in Hyper-E
Base-Super-K-Gugold = E[E1#1#1#3]100##100 in extended Hyper-E
Hyper-E.K = E[E1#1#1#3]1#1#1#3 = (10^^^^3)^^^^3 in Hyper-E
Hyper-E-Expanded K = E[E1#1#1#3](E1#1#1#3)#(E1#1#1#3)#(E1#1#1#3)#3 in Hyper-E
Hyper-E-Expanded Tiny K = E[E1#1#3](E1#1#3)#(E1#1#3)#3 in Hyper-E
Hyper-E-Expanded Mini K = E[E1#3](E1#3)#3 in Hyper-E = E[EEE1](EEE1)#3 = E[EE10](EE10)#3 = E[EE10](E[EE10](EE10)#2) = E[EE10](E[EE10](E[EE10](EE10))) = E[10^10^10](E[10^10^10]((10^10^10)^(10^10^10))) = E[10^10^10](E[10^10^10]((10^10^10)^(10^10^10))) =
(10^10^10)^((10^10^10)^((10^10^10)^(10^10^10)))
Hyper-E-Expanded Proto K = E[E3]3 in Hyper-E = E[10^3]3 = E[1,000]3 = 1,000^3 = 1,000,000,000
Normal K = 10^^^10 (a.k.a. deka-taxis)
Simplified K = 10^^10 (a.k.a. dekalogue)
Trivial K = 10^10 = 10,000,000,000 (a.k.a. dialogue)
Tetra K = 10^^^^10 (a.k.a. deka-petaxis)
Penta K = 10^^^^^10 (a.k.a. deka-exaxis)
Hexa K = 10^^^^^^10 (a.k.a. deka-eptaxis)
Hepta K = 10^^^^^^^10 = 10{7}10 (a.k.a. deka-octaxis)
Octa K = 10^^^^^^^^10 = 10{8}10 (a.k.a. deka-ennaxis)
Ennea K = 10^^^^^^^^^10 = 10{9}10 (a.k.a. deka-dekaxis)
Deka K = 10^^^^^^^^^^10 = 10{10}10 (a.k.a. deka-endekaxis / tridecal)
Endeka K = 10^^^^^^^^^^^10 = 10{11}10 (a.k.a. deka-dodekaxis)
Dodeka K = 10^^^^^^^^^^^^10 = 10{12}10
Dekatria K = 10{13}10
Dekatetra K = 10{14}10
Dekapenta K = 10{15}10
Dekahexa K = 10{16}10
Dekahepta K = 10{17}10
Dekaocta K = 10{18}10
Dekaennea K = 10{19}10
Icosa K = 10{20}10
Icosihena K = 10{21}10
Icosidya K = 10{22}10
Icositrya K = 10{23}10
Icositetra K = 10{24}10
Icosipenta K = 10{25}10
Icosihexa K = 10{26}10
Icosihepta K = 10{27}10
Icosiocta K = 10{28}10
Icosiennea K = 10{29}10
Triaconta K = 10{30}10
Tessaraconta K = 10{40}10
Penteconta K = 10{50}10
Hexeconta K = 10{60}10
Hebdomeconta K = 10{70}10
Ogdoeconta K = 10{80}10
Eneneconta K = 10{90}10
Hecatonta K = 10{100}10
Hecatontaicosa K = 10{120}10
Hecatontapenteconta K = 10{150}10
Diacosa K = 10{200}10
Triacosa K = 10{300}10
Tetracosa K = 10{400}10
Pentacosa K = 10{500}10
Hexacosa K = 10{600}10
Heptacosa K = 10{700}10
Octacosa K = 10{800}10
Enneacosa K = 10{900}10
Chilia K = 10{1000}10
Myria K = 10{10,000}10
Dekakismyria K = 10{100,000}10
Hecatommyria K = 10{1,000,000}10
Octadis K = 10{100,000,000}10
Sedeniadis K = 10{10,000,000,000,000,000}10
GugolK = E100##(E1#1#1#3) in extended Hyper-E
GraatagolK = E100##100#(E1#1#1#3) in extended Hyper-E
GugolthraK = E100##100##(E1#1#1#3) in extended Hyper-E
ThroogoK = E100###(E1#1#1#3) in extended Hyper-E
GodgalaK = E100#^#(E1#1#1#3) in Cascading-E
GridgalaK = E100#^##(E1#1#1#3) in Cascading-E
GodgathoK = E100#^#^#(E1#1#1#3) in Cascading-E
GodtothoK = E100#^#^#^#(E1#1#1#3) in Cascading-E
TethrathoK = E100#^^#(E1#1#1#3) in extended Cascading-E
E.U.O.U.A.E. = E[E1#1#1#3](E1#1#1#3)#^^^#(E1#1#1#3) in extended Cascading-E
Rayo's Blud = Rayo^(Super K)(TREE^(E.U.O.U.A.E.)(3)) = Rayo^(10^^^^3)(TREE^(E[E1#1#1#3](E1#1#1#3)#^^^#(E1#1#1#3))(3))