I made this series to revive Redstonepillager's "Googology Wiki 15th anniversary special series" in a different way, as the series has been abandoned and deleted with reason "deleting the series after Christmas 2023 because the last few numbers of the series should be legitimately added until the Christmas Day in order to finalize the entire series which is a pure joke and is completely insincere, as well as numerous issues; however, the numbers will be kept and transferred to another page".
This is also known as "New Year numbers 2024", a successor to Meet youself in 105 degrees Celsius, and it's inspired by ARsygo's The 15 is here.
The Crystallization of Googology Wiki is a series of 50 numbers defined by googology wiki user HaydenTheGoogologist2009. Please note that not all numbers are well-defined.
The reason why this series is called The "Crystallization" of Googology Wiki is because the 15th wedding anniversary is also known as the "crystal" anniversary.
Most of these numbers are either using a foreign language or long sentences.
There won't be too many ill-defined numbers in this series. But even if they're ill-defined, they must be an extension of a notable notation that's included in the list of notations in the analyses section of the policy.
None of the names of the numbers are used to spread false statements, bothering actual people, spreading the false terminology, etc.
Unless otherwise specified, all BMS expressions are with respect to version 2.3 = 4, simulating Hardy Hierarchy.
All of the numbers are based off of number 15 and the multiples of 15 (30, 45, 60, 75, 90, etc.).
Rin = 1.5 * 10^1515
Ruri = 15^^^^15
Hayate = G1500 in Graham sequence
Sumire = A(15, 15) in Ackermann function (Robinson's definition)
Koei = 15vvvvvvvvvvvvvvv30 in Down-arrow notation
Haydenese number = {100, 100, 2, 3} in BEAF
Seiko = {15, 15 (1) 15, 15 (1) 15, 15 (1) 15, 15 (1) 15, 15} in BEAF
Kosai = {15, 15 (45, 44, 43, ..., 3, 2, 1) 2} in BEAF
Moegi = {15, 15 (1(1(1(1(1)1)1)1)1) 2} in BEAF
Gekka = {X, X (X^2 + 7X + 10) X} & 15 using the array of operator and BEAF
Awayuki = {15, 15 [1 [60 ¬ 75] 2] 2} in BAN
Gyoten = {15, 15 [1 [2 \_{90} 2]_{1} 2] 2} in BAN
Shinonome = {15, 15 [1 [2 \_{1 \_{105} 2} 2] 2] 2} in D. Shamlin Jr's extension of BAN
Ginrei = E[15]15#^(120)15#^(119)15#^(118)15 ... ###15##15#15 in Extended Hyper-E notation
Horaku = E[15]15#^^^^^###>#^^^^^###15 in Extended Cascading-E Notation
Enraku = E[15]15#{135}#15#15#15 in Hyper-Extended Cascading-E Notation
Yuen = E[15]15#{&^&^&^&^&}#15 in Collapsing-E Notation
Kyoen = E[15]15#{&_{150}}#15 in Extended Collapsing-E Notation
Ooh! Did you get detention? What did you do? = 3 -> 4 -> 5 -> ... -> 175,000 -> ... -> 4 -> 3 -> 2 in Chained arrow notation
You look kinda familiar. Did I see you before? = 190 ->_{220} 205 in Peter Hurford's extension of chained arrows
Report him! He’s bullying me! = Concentration of 1[235] and 9[250] = 111...111999...999 with 235 1's and 250 9's in Copy notation
Wanna try my secret recipe? = 265[1 {1 \ 1 {1 \ 2} 2} 2]265 in DeepLineMadom's Array Notation
This guy is literally crazy. = 280[1 {1 \ 1 {1 \ 2 \ 2} 2 \ 1, 2} 2]280 in DeepLineMadom's Array Notation
He’s my boss, not yours! = [295, 295, 295, [295, 295, 295, [295, 295, 295, 295]] in Graham Array Notation
Wait, you’re in the competition too? = (310!295) / (265!235 * 280!265 * 295!280) in Hyperfactorial array notation
What, why can’t you eat that? = 325![1, 2, 3, ..., 12, 1, 2, 3, ..., 12] in Hyperfactorial array notation
⠀ (Braille pattern blank, U+2800) = 340![1(1)1(1)1(1)1]/w355 in Hyperfactorial array notation
This guy, the top student in the school, he is. = H*(10^10^10^10^(10^370 + 13))
This guy, the master of everything. = 5[5[5[... 5[5[5]] ...]]] (385 5's) in Steinhaus-Moser Notation
This guy is really pitiful. = 400{X^4 + 6X^3 + X^2 + 10X + 147}400 in X-Sequence Hyper-Exponential Notation
You don’t have to pay attention to him. He’s crazy. = A(1, 1, 1, 1, 1, 1, 0, 0, 0) in Taro's multivariable Ackermann function
Aren’t you the person who I met yesterday? = (0, 0)(1, 1)(1, 1)(1, 1)(2, 2)[415] in Bashicu matrix system
Guys, stop whining and be positive! = (0, 0, 0)(1, 1, 1)(2, 2, 2) ... (100, 100, 100)[430] in Bashicu matrix system
All students, line up. Now! = s(445, 445 {460 ````` 459 ````` 458 ````` ... ````` 3 ````` 2 ````` 1 ````` 2 ````` 3 ````` ... ````` 458 ````` 459 ````` 460 ```` 459 ```` 458 ```` ... ```` 3 ```` 2 ```` 1 ```` 2 ```` 3 ```` ... 458 ```` 459 ```` 460 ``` 459 ``` 458 ``` ... ``` 3 ``` 2 ``` 1 ``` 2 ``` 3 ``` ... ``` 458 ``` 459 ``` 460 `` 459 `` 458 ... ``3 `` 2 `` 1 `` 2 `` 3 `` ... `` 458 `` 459 `` 460 ` 459 ` 458 ` ... ` 3 ` 2 ` 1 ` 2 ` 3 ` ... ` 458 ` 459 ` 460} 2) in Strong array notation
Hi! Did anyone miss me? = s(475, 475 {1 {111 ,,, 111 ,,, 111 ,,, 111 ,,, 111 ,,, 111 ,,, 111 ^,,,} 2} 2) in Strong array notation
Ultimate regional destruction = f_{ω + 1}(262,537,412,640,768,744) in Fast-growing hierarchy
One toilet billion guests = H_{ψ0(Ω_ψ0(Ω_Ω))}(490) in Hardy hierarchy with this system of fundamental sequences
Two slices five roots = g_{ζ_5}(505) in Slow-growing hierarchy with this system of fundamental sequences
This is the most annoying number name ever in the history of the metaverse. = √(535^2 - 520^2) ≈ 125.7974563
Jing Guan Ü = 550^550^550^550^550^5.5
My senior brother expressed his helplessness. = log_{3}(ln(565)) ≈ 1.680645655
The crowd, and the champion = |sin(580)| in degrees where |...| represents the absolute value ≈ 0.642787609
One champion, has won all the people in the crowd. = |cos(595)| in radians ≈ 0.325752805
Now, he's our idol! = tan(610) in gradians ≈ 0.15838444
He's the superstar of the whole school. = ∛(625^3 + 640^3) ≈ 797.0120966
He should be superior to others. = e^π^654.99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999912345678901 (654.99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999912345678901 is a terminating decimal)
The last page of him. See you again by fate! = sin-1(1/670) in degrees ≈ 0.095017911
You will be remembered in our hearts forever! = cos-1(1/685) in radians ≈ 1.569336472
The final. Goodbye for now! = tan-1(1/700) in gradians ≈ 0.090945619
Ultra Grahamese Number = 0.2425950695064738395657479136519351798334535362521430035401260267716226721604198106522631693551887803881448314065252616878509555264605107117200099709291249544378887496062882911725063001303622934916080254594614945788714278323508292421020918258967535604308699380168924988926809951016905591995119502788717830837018340236474548882222161573228010132974509273445945043433009010969280253527518332898844615089404248265018193851562535796399618993967905496638003222348723967018485186439059104575627262464195387 (decimal of the last 500 digits of G(n) of the Graham sequence) (terminating decimal)