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 | \(f^3_{\omega}(10)\) |
| Hardy hierarchy | \(H_{\omega^{\omega} 3}(10)\) |
| Slow-growing hierarchy | \(g_{\varphi(\varphi(\varphi(\omega,0),0),0)}(10)\) |
Sources[]
- ↑ Pointless Gigantic List of Numbers Part 4: (order type w to w^w). Pointless Large Number Stuff. Retrieved 2021-07-25.
- ↑ Saibian, Sbiis. 3.2.8 - Andre Joyce - Large Numbers. Retrieved 2021-07-25.
- ↑ The old webpage that lists grand tridecal
See also[]
Repunits: twenty-twos · thirty-threes · forty-fours · fifty-fives · sixty-sixes · seventy-sevens · eighty-eights
Googo- series: googoli · googolex · googoc · googoci · googocci · googoccic · googoxem · googolmox · googomump ·
Googoo- series: googool · googoodix
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