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2D-ECGK₂₁ is a 20-simplex ⟂⌅ which includes all its 210 edge EP.

r = (n²-n)/2; n = 21, r = 210

According to Kardashev, T₇ civilizations exist outside of spacetime and are capable of creating n-verses and destroying them just as easily. It's hard to imagine a story with such civilizations, since their perfection and indestructible nature would offer little conflict potential with lower civilizations. Recipe for paraversal tragedy.

It has been argued that KS may not be relevant or useful for classifying civilizations, assuming that behaviors would become predictable only if and when the correspondent civilizations are fully understood. Also, should a civilization be able to harness E of whatever arbitrarily large scale, such as a metagoogol¹ J, it does not mean that it has likewise developed a commensurate ability to use that E with efficiency. Posit a star system wherein a star-shrouding cloud of pebbles is hosting photosynthetic algæ or bacteria that almost completely surround a star, acquiring and having access to far more than the available E on ♁ either proportionately or in absolute terms: nonetheless, even if it were to completely absorb all E from said star, it would not be called a "technologically more advanced civilization" in virtue of its resource advantage alone.

FRB121102 is believed to be co-located in a DG @ 3E9 ly from ♁ with a low-luminosity AGN, or a previously unknown type of EG source, or a young NS energizing a SN remnant; it is presently in a heightened activity state and follow-on observations are encouraged, particularly @ higher RFs. In 2015-11, Paul Scholz @ McGill found 10 non-periodically repeated FRBs in archival data gathered in 2015-05&06 by ART with 3 times the max PD from a MW source and SP consistent with FRB121102. This finding is possibly ruling out self-destructive and cataclysmic SOEs, such as BHEs or NSCs, thus supporting an origin in a young pulsar, or in a magnetar, or from highly magnetized pulsars travelling through ABs, or from an intermittent RL overflow in a NS-WD binary complex. On 20161216, 6 new FRBs were reported in the same direction. This is the only known instance in which FRBs have been found twice in the same location in space. On 20170826, 15 FRBs from FRB121102 @ 5-8 GHz were detected via GBT data.

NOTES

1. The metagoogol [(1E100!)!=10¹⁰⁰ᵎ!] is the largest named number.

REFERENCES

E.G.F. Regina 2025: The metagoogol.

A. Frank & al. 2022: Planetary intelligence.

D.F. Mansfield & N.J. Wildberger 2017: Plimpton 322.

K. Arroyo Ohori & al. 2017: nD s-t & s-c objects as R₃ ⌅⌅.

S.P. Tendulkar & al. 2017: HG and RS of FRB121102.

B. Marcote & al. 2017: FRB121102 as seen on MAS.

P. Scholz & al. 2016: FRB121102: MWL observations.

L.G. Spitler & al. 2016: A repeating FRB (FRB121102).

J.T. Wright & al. 2015: Signatures of transiting megastructures.

L.G. Spitler & al. 2014: FRB121102 discovered in Arecibo PAS.

V. Sicoe 2014: The Kardashev scale.

M.E. Tegmark 2014: Our mathematical universe.

S. Arshad 2010: Icecream eating.

W.T.M. Irvine & D. Bouwmeester 2008: Linked & knotted BoL.

M. Brooks 2008: 13 things that don't make sense.

C.D.G. Stross 2003: Singularity sky.

J.D. Barrow 2002: The constants of nature.

B. Poonen & M. Rubinstein 1995: RPG diagonal IP.

N. Kardashev 1964: ToI by ETC.

E₍₀<ₜ<₁₎≫E₍₁<ₜ<∞₎

MV · DS · FP · DE · KS · C3L · TS · FFTL · UUF · MST · CEI · DE · ToE · NLTL · ETL · ILS · ENS · GCR · HS · WH · QS · VC&P · S · OT · S · SG · CDD · S · RCPG · PS · FEM · PERL · PM · PN · TC · HT · 4CMT · T · googology

having a nice breakfast while reading the paper (the sunday only part)

and looots of studying (the everyday part)

18.1.2009

Augsburg, Germany

The One Day Function Theory Meeting at University College London in the Harrey Massey lecture theatre breaks up after the evening session.

3/365

Dan Nicks of the Open University makes his presentation "Real meromorphic functions" at the One Day Function Theory Meeting in the Harrey Massey lecture theatre at University College London.

Grid Convolution 1 visualizes of conformal maps, a tool used by mathematicians complex analysis.

A finite region is gridded, colored, and turned inside-out to cover the infinite plane. In the process, a single square of the original tiling becomes background, infinite, while infinities are inverted to ten compact, spiraling singularities. Symmetry gives a pleasing order to the infinite.

Jim Langley of Nottingham University presents his talk "Integer Points of Entire Functions" on day 1 of the first Frontiers of Nevanlinna Theory conference at University College London.

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There’s still plenty of time to join us for the second installment in January!

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Image of the fate of points in the complex plane when using Newton-Raphson method to find roots of z^8 = 1.

Note the 'fake' circle in centre - this is a artifact of not using enough iterations for a high-power equation.

Walter Bergweiler of Kiel University sits in discussion with Phil Rippon and Gwyneth Stallard of Open at the Frontiers of Nevanlinna Theory I conference at University College London.

Walter Bergweiler of Kiel University sits in discussion with Phil Rippon and Gwyneth Stallard of Open at the Frontiers of Nevanlinna Theory I conference at University College London.

This is Émile Picard's own annotated copy of his Cours d'Analyse. It discusses topics such as: calculus, differential geometry, complex analysis, algebraic geometry, differential Galois theory...

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Just in case anyone needed further proof that Cortez Monster is crazy...now he's started sleeping behind my math books! As you can see, several books are off the shelf (due to teaching mathematical modeling over the summer - AKA why I have hardly been on flickr for months!) so it is easier than normal to get back there. What a strange cat! :-)

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Visualization of the roots of z^3=1 found by Newton-Raphson with starting points in (real, i, j) space (i.e. k=0).

I gave my students a very short quiz to check attendance. This was one student's response.

"Why won't you just let me sleep in peace!?!"

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Dr. Tao is keeping a great set of complex analysis notes on his blog.

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