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Joycian grand tridecal is equal to \(\text g(3,1,1,11,10,10)\) in Joyce's More Generalized Exponential Notation.[1][2][3] The value was created by Andre Joyce as a failed attempt to define the Bowersism grand tridecal. This number is approximately equal to 10{10{10{10}10}10}10 = 10{{1}}4 = {10,4,1,2} while the real value of grand tridecal is much larger, which is {10,10,10,2}.

Approximations

Notation Approximation
Chained arrow notation 10→10→3→2
BEAF {10,10,{10,10,{10,10,10}-1}-1} (exact)
≈ {10,4,1,2}
Extended Hyper-E notation E10##10#3
Fast-growing hierarchy \(f^3_{\omega}(10)\)

Sources

  1. Pointless Gigantic List of Numbers Part 4: (order type w to w^w)Pointless Large Number Stuff. Retrieved 2021-07-25.
  2. Saibian, Sbiis. 3.2.8 - Andre Joyce - Large Numbers. Retrieved 2021-07-25.
  3. The old webpage that lists grand tridecal

See also

Numbers by André Joyce

Repunits: twenty-twos · thirty-threes · forty-fours · fifty-fives · sixty-sixes · seventy-sevens · eighty-eights · twelvety-twelves
Googo- series: googoli · googoliji · googoliv · googolv · googolvi · googolvij · googolix · googolex · googoc · googoci · googocci · googoccic · googoxem · googolmox · googomump ·
Googoo- series: googool · googoolxiv · googoolxix · googoocxexviji · googood · googoodij · googoodiv · googoodvi · googoodvij · googoodix · googoodxi
Googgoo- series: googgol · googgool · geegeel · geeggeel · geiggeil · geiggeim
Googolplux series: googolplux · googolpluc · googolplum
Bowers' numbers attempts: Joycian gaggol · Joycian gygol · Joycian gagol · Joyce's tetratri · Joyce's pentatri · Joycian grand tridecal · Joycian dimentri · Joycian dulatri · Joycian trimentri · Joycian decaltrix
Archive André Joyce archive

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