Enneacontree Number System (Fantasy Mathematical Construct)

The Enneacontree System is a fictional hyper-large number hierarchy designed to describe the unimaginable power levels found in the universe of Rakkuhōshiten, a fantasy-sci-fi epic. These numbers extend far beyond known constructs like Graham's number or the TREE function, entering a space where even abstract logic breaks down.

---

Definition of Enneacontree

Enneacontree, denoted as &{n}&, is a recursive number system composed of the TREE function, Graham-like notation (G(n)), and nested exponential operations. The term derives from:

• "Enneaconta": Greek for 90
• TREE: A well-known large-number function used in mathematical logic

Structure:

&{1}&  = TREE(TREE(SRGTREE(TREE(3))^TREE(TREE(3))^^TREE(TREE(3))^TREE(TREE(3))^^^TREE(TREE(3))^TREE(TREE(3))^^TREE(TREE(3))^TREE(TREE(3))^^^^TREE(TREE(3))^TREE(TREE(3))^^TREE(TREE(3))^TREE(TREE(3))^^^TREE(TREE(3))^TREE(TREE(3))^^TREE(TREE(3))^TREE(TREE(3))))

&{2}&  = SR(TREE(TREE(G(&{1}&))))

&{3}&  = SR(TREE(TREE(G(&{2}&))))

...

&{99}& = SR(TREE(TREE(G(&{98}&))))

Each level represents an unfathomable leap in size and complexity.

---

Recursive Rule

Every new level wraps the previous one in two TREE operations and one Graham-like growth function G(...), resulting in explosive growth.

• G(0) = 3^^^^3
• G(1) = 3^^...^^3 (with G(0) number of carets)
• G(n) = 3^^...^^3 (with G(n-1) number of carets)

SR(n) is defined as SSCG(Rayo(n)), or Noeqoek (Quake of Numbers).

SRGTREE(n) is an extended large-number operation defined as SSCG(Rayo(G(TREE(n)))), nicknamed Ultra Noeqoek.

---

The Dievpoet Hierarchy

Dievpoet, symbolized as /n\, represents the layered abstraction of Enneacontree numbers. Each /n\ denotes a recursively nested layering of &{99}&, symbolizing transcendental power beyond hyperversal understanding.

• /1\ = 10 layers of &{99}&
• /2\ = /1\ layers of &{99}&
• ... and so on

Each /n\ is both a recursive numeric abstraction and a reflection of the civilization tiers of the Rakkuhōshiten universe, specifically tiers 10–50.

---

The Owlyni Number (/10\)

Represents an entity (Yorian in Owlyni form) that exists beyond hyperversal space.

/10\ = SRGTREE(SRGTREE(...SRGTREE(&{&{&{...&{99}&...}&}&}&)...))

Where both the SRGTREE and &{}& layers repeat /9\ times.

Owlyni symbolizes the void-born creator and architect of all narrative and abstract layers.

---

The Lord Number (/Ω\)

The final conceptual number.

• Known only by God.
• Transcends even /10\.
• Cannot be defined, represented, or conceived.
• Sits at the very edge of all abstraction and creation.

---

Comparison Table with Real-World Large Numbers

Name	Representation	Approximate Size
Million	10^6	1,000,000
Billion	10^9	1,000,000,000
Googol	10^100	1 followed by 100 zeroes
Googolplex	10^(10^100)	Too big to write in the observable universe
Graham's Number	G64 (3^^^^...3)	Ridiculously large
TREE(3)	Unimaginably larger	Beyond Graham's Number
&{1}& (Enneacontree 1)	TREE(TREE(SRGTREE(...)))	Incomprehensibly bigger
&{99}&	Recursive TREE growth	Insanely recursive
/1\ (Dievpoet 1)	10 layers of &{99}&	Beyond all conceptual reality
/10\ (Owlyni)	Multi-SRGTREE layer of &{99}&	Transcendental abstraction
/Ω\ (Lord Number)	Cannot be written	Known only by God

---

Fun Fact

Even if all computers on Earth and every particle in the universe were used to write /1\, it would still be impossible. The system was designed to challenge the limits of imagination, cognition, and fantasy logic.

---

Use in Rakkuhōshiten

• The Enneacontree hierarchy is used to scale power levels of beings such as Yorian (in Owlyni form).
• /10\ = Yorian's peak form
• /Ω\ = The unknowable true Creator

This system blends narrative fiction with abstract mathematics to simulate a hierarchy of power beyond measurable structure.