Tauverse

A Tauverse is a single verse of a large set of Tauverses. Each Tauverse is labled with T(n), where n gets larger as the set goes on.
The diameter of each Tauverse, is: 
 \sum_{x=1}^n e^{\sinh{e^{\zeta(-x)!}}} 
The Kardashev scale is also n, so the larger the verse, the more advanced the civilization.
The set stops at T(10100), also known as The Ultimate Tauverse.
The "civilizations" on each Tauverse, while seemingly more advanced, are only just cellular automata with 33n + 28 states, which create fractal structures that can be as large as the entire Tauverse (spanning from the top to the bottom), all the way down to the Taulength, which is the smallest possible length in a Tauverse, and is equal to the inverse of the Tauverse's size.
Below is a list of some sizes.
T(n) 	Diameter 	Similar in size to:
T(1) 	6,778 ly + 61,040 au + 32 million km 	Small Magelanic Cloud (6,500 ly)
T(2) 	8,668 ly + 37,734 au + 54 million km 	Sextans Dwarf Spheroidal Galaxy (8,400 ly)
T(3) 	10,383 ly + 8,185 au + 39 million km 	Sagittarius Dwarf Spheroidal Galaxy (10,000 ly)
T(4) 	12,272 ly + 48,120 au + 73 million km 	Paper folded 80 times (12,800 ly)
T(5) 	14,255 ly + 8,174 au + 149 million km 	Large Magellanic Cloud (14,000 ly)
T(6) 	16,144 ly + 48,110 au + 34 million km 	Messier 110 (17,000 ly)
T(7) 	17,943 ly + 44,648 au + 105 million km 	Messier 110 (17,000 ly)
T(8) 	19,833 ly + 21,342 au + 127 million km 	Messier 110 (17,000 ly)
T(9) 	21,905 ly + 55,893 au + 63 million km 	Andromeda XIX (22,200 ly)
T(10) 	23,795 ly + 32,587 au + 85 million km 	NGC 5195 (25,000 ly)
T(11) 	25,285 ly + 19,038 au + 274,231 km 	NGC 5195 (25,000 ly)
T(12) 	27,174 ly + 58,973 au + 34 million km 	SWEEPS-11 (27,710 ly)
T(13) 	33,953 ly + 56,772 au + 54 million km 	Shkadov thruster after a billion years (34,000 ly)
T(14) 	35,843 ly + 33,466 au + 76 million km 	Cigar Galaxy (37,000 ly)
T(15) 	36,115 ly + 32,249 au + 35 million km 	Cigar Galaxy (37,000 ly)
T(16) 	38,005 ly + 8,943 au + 57 million km 	Cigar Galaxy (37,000 ly)
T(17) 	38,006 ly + 8,952 au + 62 million km 	Cigar Galaxy (37,000 ly)
T(18) 	39,895 ly + 48,887 au + 95 million km 	Cigar Galaxy (37,000 ly)
T(19) 	T(18) + 10^{10^{10^{10^{26.89441}}}} ly 	Hotolillion \left(10^{3\times10^{3\times10^{3\times10^{26}}}+3}\right)
T(20) 	T(19) + 1,889 ly + 39,935 au + 34 million km 	Hotolillion \left(10^{3\times10^{3\times10^{3\times10^{26}}}+3}\right)
T(21) 	T(19) + 1,892 ly + 55,036 au + 127 million km 	Hotolillion \left(10^{3\times10^{3\times10^{3\times10^{26}}}+3}\right)
T(22) 	T(19) + 3,782 ly + 31,730 au + 149 million km 	Hotolillion \left(10^{3\times10^{3\times10^{3\times10^{26}}}+3}\right)
T(23) 	T(22) + 10^{10^{10^{10^{11,267.75753}}}} ly 	Googoltriplexitoll \left(10^{10^{10^{10^{10,000}}}}\right)
T(27) 	T(26) + 10^{10^{10^{10^{10^{6.73364}}}}} ly 	Millionquadriplex \left(10^{10^{10^{10^{10^6}}}}\right)
T(31) 	T(30) + 10^{10^{10^{10^{10^{9.590223}}}}} ly 	Hutarillion \left(10^{3\times10^{3\times10^{3\times10^{3\times10^8}}}+3}\right)
T(35) 	T(34) + 10^{10^{10^{10^{10^{12.62792}}}}} ly 	Janaprillion \left(10^{3\times10^{3\times10^{3\times10^{3\times10^{11}}}}+3}\right)
T(39) 	T(38) + 10^{10^{10^{10^{10^{15.8372}}}}} ly 	Janayllion \left(10^{3\times10^{3\times10^{3\times10^{3\times10^{14}}}}+3}\right)
T(100) 	T(98) + 10^{10^{10^{10^{10^{78.33396}}}}} ly 	Icosembillion \left(10^{3\times10^{3\times10^{3\times10^{3\times10^{60}}}}+3}\right)
T(1,000) 	T(998) + 10^{10^{10^{10^{10^{1,769.97286}}}}} ly 	Googolquadriplexichime \left(10^{10^{10^{10^{10^{1,000}}}}}\right)
T(1,000,000)	T(999,999) + 10^{10^{10^{10^{10^{10^{6.67829}}}}}} ly	Millionquintiplex \left(10^{10^{10^{10^{10^{10^6}}}}}\right)
T(10100) 	10^{10^{10^{10^{10^{10^{100}}}}}} ly 	Googolquinplex \left(10^{10^{10^{10^{10^{10^{100}}}}}}\right)
T(n) 	\approx10^{10^{10^{10^{10^{n}}}}}ly 	\gtrapprox\theta(n!)(Bop-counting function + factorial)
Category:Verse
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Category:1st-class
Category:Navigable
Category:Verses contained by the Omniverse
Category:Number