User:Edwin Shade

Quick-Links
These are links I frequent often and thus it would be more efficient if they were contained all in one place.

User Pages
An Algorithmic Analysis Of The 3x3x3

Aqua Functions

Counting To 10,000

Sandbox

The Grand Edit Archive

Blog Posts
Just Practice, That's All by Edwin Shade (August 25, 2017)

Blog Posts Read Out-Loud by Edwin Shade (November 29, 2017)

Miscellaneous
Multiple Photo Joiner

Interesting Mathematical Stuff

 * The 2,000,000,000,000,000th digit of \(\pi\) after the decimal in binary is 0.
 * An infinite chain of continuously decreasing ordinals cannot exist, but an infinite chain of continuously increasing ordinals can.
 * If you pass the second person in a race, you are not the first, but just the second !

How I Got Into Googology
It began about four years ago while I was playing the game Cookie Clicker, and upon the Cookie Clicker wiki I found the names of numbers such as undecillion and ''trevigintillion. this made me curious about the names of numbers past a quadrillion, and so I found myself on this Wiki, where I learned about a googolduplex, googoltriplex, and a googolquadplex. ''At that time, I don't believe I understood any mathematical operations beyond exponentiation so I would often just click on numbers because they had cool sounding names. I would have fun doing this, and pursued this for a few months, until I presumably lost interest.

A few months ago though I decided to revisit this old pastime of mine, due to some confusion in trying to relate a problem to someone I knew. The problem was as follows:

Given that \(f(x)=x^{x^{x^{.^{.^.}}}}\), what is the highest positive value x can be such that \(f(x)\) is finite, or does not diverge ?

The confusion in trying to relate this problem to another person was that I knew of no way to mathematically represent an infinitely high power tower of x's. So I invented a symbol for it, \(\Delta_4\), which represented the 4th "tier of operations", where the first tier was addition, the second multiplication, and the third exponentiation.

\(a\Delta_{4} b\) means "a tetrated to the b-th".

I had a nagging thought though- hadn't this already been done ? I remembered the time I had spent on the Googology Wiki and recalled that there was operation identical to this. So I searched for it, and found tetration. This was all it took for my enthusiasm to double as I learned with renewed fervor the functions and numbers I could not understand when I was younger.

So now I'm here, in the present, with knowledge of the fast-growing hierarchy, and Veblen functions. It has been quite fun actually, because Googology combines the rigour of mathematics with a certain feeling of exploration, like going into a mine-shaft and not knowing what you'll face. (I use this analogy both in reference to a real-life scenario and in reference to a game I've only been able to play a few times, but nonetheless really like, and that's Minecraft.)

There's still plenty for me to learn though, like BEAF and the many array notations people have developed over the years.

Below is some miscellaneous material that relates to numbers or Googology in one way or another.

Googological Memes
The following are some memes I've seen or created that I find funny. All credit for the first 1 belongs to Kochab1.







Music n' Numbers
Here is a list of songs that mention a specific number.

There's No Limit To Limits...
















About Myself
Well, since this is the internet I won't say too much, but you most likely know that I am human. Or I could just be a sufficiently advanced automaton that can pass the Turing Test. Or I could be a hyper-intelligent dog that owns an underground crime syndicate that makes a profit off of selling missing pairs of socks to sock dealers. Or maybe I'm not actually here at all and you are just hallucinating the fact you read this, or maybe...

In any case, I like mathematics and that's why I'm on this site, I have a site here which you can visit, (though it is very much in the making).

For Reference
For convenience of reference, I have compiled a list of all the blog posts on this Wiki linked in chronological order. You can find the list here.

Here I have read some of the older and newer posts alike on this Wiki, (though I mostly read that which is older because it is less likely to be updated).

Below is a list of users who have made the nth edit on the Wikia, where the counting is being done in increments of 1,000, as the badges are awarded.

Googleaarex 2,000th edit

Ikosarakt1 3,000th edit

Googleaarex 4,000th edit

Ikosarakt1 5,000th edit

'''[http://googology.wikia.com/wiki/User:Vel! Vel!] 6,000th edit'''

'''[http://googology.wikia.com/wiki/User:Vel! Vel!] 7,000th edit'''

Ikosarakt1 10,000th edit

Ikosarakt1 11,000th edit

'''[http://googology.wikia.com/wiki/User:Vel! Vel!] 12,000th edit'''

Ikosarakt1 14,000th edit

Ikosarakt1 15,000th edit

Ikosarakt1 16,000th edit

Ikosarakt1 17,000th edit

Deedlit11 19,000th edit

Ikosarakt1 20,000th edit

'''[http://googology.wikia.com/wiki/User:Vel! Vel!] 21,000th edit'''

Ikosarakt1 22,000th edit

Cloudy176 23,000th edit

Ikosarakt1 24,000th edit

Ikosarakt1 25,000th edit

Ikosarakt1 26,000th edit

Ikosarakt1 27,000th edit

'''[http://googology.wikia.com/wiki/User:Vel! Vel!] 28,000th edit'''

Cloudy176 30,000th edit

Ikosarakt1 31,000th edit

Ikosarakt1 32,000th edit

Ikosarakt1 34,000th edit

Ikosarakt1 35,000th edit

Wythagoras 36,000th edit

Ikosarakt1 37,000th edit

Wythagoras 38,000th edit

Jiawheein 39,000th edit

Ikosarakt1 41,000th edit

Ikosarakt1 42,000th edit

Wythagoras 43,000th edit

Ikosarakt1 44,000th edit

Ikosarakt1 45,000th edit

Wythagoras 46,000th edit

Ikosarakt1 47,000th edit

Wythagoras 48,000th edit

Wythagoras 49,000th edit

Ikosarakt1 50,000th edit

Ikosarakt1 51,000th edit

Konkhra 52,000th edit

TechKon 53,000th edit

Wythagoras 54,000th edit

Hyp cos 55,000th edit

Wythagoras 56,000th edit

Wythagoras 57,000th edit

Wythagoras 58,000th edit

Wythagoras 59,000th edit

Googleaarex 60,000th edit

Wythagoras 61,000th edit

Googleaarex 62,000th edit

Hyp cos 63,000th edit

Hyp cos 64,000th edit

Hyp cos 65,000th edit

Nanspepur 66,000th edit

Googleaarex 67,000th edit

'''[http://googology.wikia.com/wiki/User:Vel! Vel!] 68,000th edit'''

Andrejoyce 69,000th edit

Cookiefonster 70,000th edit

Wythagoras 71,000th edit

Hyp cos 72,000th edit

Hyp cos 73,000th edit

'''[http://googology.wikia.com/wiki/User:Vel! Vel!] 74,000th edit'''

Cloudy176 75,000th edit

Cloudy176 76,000th edit

LittlePeng9 77,000th edit 

Hyp cos 78,000th edit

D57799 79,000th edit

D57799 80,000th edit

SuperJedi224 82,000th edit

Alemagno12 83,000th edit

Simplicityaboveall 84,000th edit

LittlePeng9 85,000th edit 

Antares.I.G.Harrison 86,000th edit

Cloudy176 87,000th edit

SuperJedi224 88,000th edit

'''[http://googology.wikia.com/wiki/User:Vel! Vel!] 89,000th edit'''

B1mb0w 90,000th edit

'''[http://googology.wikia.com/wiki/User:Vel! Vel!] 91,000th edit'''

Cloudy176 92,000th edit

B1mb0w 93,000th edit

'''[http://googology.wikia.com/wiki/User:Vel! Vel!] 94,000th edit'''

Cookiefonster 95,000th edit

KthulhuHimself 96,000th edit

B1mb0w 97,000th edit

LittlePeng9 98,000th edit 

Khankao1 100,000th edit

IvanP 101,000th edit

Cloudy176 102,000th edit

B1mb0w 103,000th edit

Username5243 104,000th edit

Cloudy176 105,000th edit

Username5243 106,000th edit

Cloudy176 107,000th edit

Username5243 108,000th edit

Hyp cos 109,000th edit

Hyp cos 110,000th edit

Username5243 111,000th edit

Username5243 112,000th edit

Denis Maksudov 113,000th edit

Cloudy176 114,000th edit

Bubby3 115,000th edit 

Cloudy176 116,000th edit

Username5243 117,000th edit

Boboris02 118,000th edit

AarexWikia04 119,000th edit

Deedlit11 120,000th edit

ARsygo 121,000th edit

Verivici 122,000th edit

Denis Maksudov 123,000th edit

Denis Maksudov 124,000th edit

Username5243 125,000th edit

Verivici 126,000th edit

ARsygo 127,000th edit

Sibking 128,000th edit

Denis Maksudov 129,000th edit

ARsygo 130,000th edit

PsiCubed2 131,000th edit

Cloudy176 132,000th edit

B1mb0w 133,000th edit

ARsygo 136,000th edit

Hyp cos 137,000th edit

Hyp cos 138,000th edit

Hyp cos 139,000th edit

Pellucidar12 140,000th edit

Hyp cos 141,000th edit

PsiCubed2 142,000th edit

Unknown95387 143,000th edit

Unknown95387 144,000th edit

Hyp cos 145,000th edit

Hyp cos 146,000th edit

Hyp cos 147,000th edit

Denis Maksudov 148,000th edit

Hyp cos 149,000th edit

Hyp cos 150,000th edit

Hyp cos 151,000th edit

Denis Maksudov 152,000th edit

Hyp cos 153,000th edit

Unknown95387 154,000th edit

Denis Maksudov 155,000th edit

ArtismScrub 156,000th edit

ArtismScrub 157,000th edit

Edwin Shade 158,000th edit

Hyp cos 159,000th edit

Unknown95387 160,000th edit

Simply Beautiful Art 161,000th edit

Edwin Shade 162,000th edit

Sibking 163,000th edit

PsiCubed2 164,000th edit

Nnn6nnn 165,000th edit

Unknown95387 167,000th edit

Edwin Shade 168,000th edit

ARsygo 169,000th edit

LittlePeng9 170,000th edit 

Edwin Shade 171,000th edit

For Reference (2)
For convenience of reference, I have also listed the blog posts of some other Wikis. This allows me to have them gathered all on one page, so that I will not have to jump from site to site.

=Numbers To Infinity Wiki=

March
Welcome by Nnn6nnn (March 23, 2017)

June
fjdhf by Nnn6nnn (June 21, 2017)

=CubeWiki=

August
WCA official puzzles by YLK99 (August 5, 2015)

January
Hi by Superalpha1 (January 27, 2016)

Hello by Superalpha1 (January 27, 2016)

July
'''[http://rubiks.wikia.com/wiki/User_blog:Daphne456456Minec/Cleaning_and_Updating%3F Cleaning and Updating? by Daphne456456Minec (July 22, 2017)]'''

August
Inappropriate stuff on "Wanted Pages" by Daphne456456Minec (August 24, 2017)

October
'''[http://rubiks.wikia.com/wiki/User_blog:Evilquoll/My_%22Over_the_Top%22_cube_arrived_today! My "Over the Top" cube arrived today! by Evilquoll (October 18, 2017)]'''

My method (Free2L) by PkmnQ (October 29, 2017)

November
Algorithms of the Rubik's Cube by Edwin Shade (November 15, 2017)

= Wikianswers =

March
New look for Wikianswers by Angela (March 31, 2011)

May
Collaboration is the key! by Bryce53 (May 18, 2011)

Well I can always use this to take notes... by Molokaicreeper (May 23, 2011)

June
Why am I editing on Wikia? by LiNSter (June 14, 2011)

UnAnswers vs wikianswers by A F K When Needed (June 16, 2011)

July
A bit useless... by Randomno (July 12, 2011)

Temporary Experiment with Ads on this Wiki by Dopp (July 12, 2011)

Woo-hoo! by Randomno (July 13, 2011)

Welcome again by Randomno (July 14, 2011)

Still some more by Randomno (July 16, 2011)

Big Leaderboard by Randomno (July 16, 2011)

So I'm back and... by AbigailAbernathy (July 16, 2011)

Hello there by RoyboyX (July 24, 2011)

September
How to get around? by Pinklilac (September 16, 2011)

February
Hey guys it has been fun... by Molokaicreeper (February 22, 2012)

March
Hiya, e'eryone~ by November Blue (March 3, 2012)

Hello WikiWorld by Vanessa Johnsson (March 16, 2012)

April
Which would you prefer? by Ianskie (April 1, 2012)

What's Wikianswers? by Floatery (April 21, 2012)

Uhmm.......... by AbigailAbernathy (April 25, 2012)

June
Progress by Howlgram (June 29, 2012)

July
fav song by Rick ashley (July 2, 2012)

Joining by Holbenilord (July 3, 2012)

IMPORTANT by Howlgram (July 10, 2012)

October
New categories added - 10/05/12 by QuestionCatBot (October 5, 2012)

New categories added - 10/12/12 by QuestionCatBot (October 12, 2012)

New categories added - 10/19/12 by QuestionCatBot (October 19, 2012)

New categories added - 10/26/12 by QuestionCatBot (October 26, 2012)

November
New categories added - 11/2/12 by QuestionCatBot (November 2, 2012)

New categories added - 11/9/12 by QuestionCatBot (November 9, 2012)

New categories added - 11/16/12 by QuestionCatBot (November 16, 2012)

New categories added - 11/23/12 by QuestionCatBot (November 24, 2012)

New categories added - 11/30/12 by QuestionCatBot (November 30, 2012)

New categories added - 12/7/12 by QuestionCatBot (December 7, 2012)

New categories added - 12/14/12 by QuestionCatBot (December 15, 2012)

New categories added - 12/21/12 by QuestionCatBot (December 21, 2012)

New categories added - 12/28/12 by QuestionCatBot (December 28, 2012)

April
'''[answers:User_blog:Explosiondotcom/Questions?? Questions?? by Explosiondotcom (April 25, 2013)]'''

July
Chat by Autumoasis (July 1, 2013)

Hi, I'm New Round Here by Theplait (July 28, 2013)

Delete This And That And That by Theplait (July 29, 2013)

What's your preferred method for finding questions to answer? by My Little Pony (July 30, 2013)

Going Nuts or Turning Vigilant by Theplait (July 31, 2013)

August
I am new here. by GeorgeYao (August 5, 2013)

Thoughtlessness by Signalnine (August 5, 2013)

November
Lol. by Mjduniverse (November 23, 2013)

Questions not understandable by Harry granger (November 23, 2013)

Loot Crate Giveaway by Bchwood (November 28, 2013)

December
New Here by Jns4eve (December 18, 2013)

August
XD by SuperFanon'D! (August 23, 2014)

Reminder About Not Repeating Questions by RisingSun2013 (August 25, 2014)

March
Activity Change Period Notice by RisingSun2013 (March 4, 2015)

April
Admin Mission by Hogota (April 7, 2015)

Another Activity Change Period Notice by RisingSun2013 (April 23, 2015)

December
Google, Anyone by Stevethebarbarian (December 4, 2015)

March
Activity Change Period Notice - March 2016 by RisingSun2013 (March 3, 2016)

April
Venting like a fool by SneaselSawashiro (April 6, 2016)

December
wiki by Pvz loklok (December 9, 2016)

October
How To Improve This Wiki by Edwin Shade (October 9, 2017)

= Minecraft Wiki =

February
Admin Help Needed by Kacj321 (February 23, 2011)

[To be completed before April 1, 2018]

Edit Progress
For a user who has made a sufficiently large number of edits, there is usually a progress chart on their user page, thus I've decided to do the same. I am counting in increments of 5,000.

Joined on August 18, 2017

5,000 edits reached on December 26, 2017

What Images Are Those On My Profile Page ?
In the top left corner there is a turning Rubik's cube referring to my hobby of cubing. My fastest time is in-between 27 and 28 seconds, though I average 45 to 48, (I use the beginner's method though I wish to learn CFOP). Regarding the green side as the front and the yellow as the top, the cube's solution as shown in the GIF is FR2FRB2D'U'RU'R'BUB'RU'R'U'L'U2LU'B'UBU'L'U'LF'U2FU'F'UFU2FUF'U2FU'F'RUBU'B'R2UL'U2RU'LR'UL'U2RU'LU2, (I took a half hour dissecting the GIF frame by frame to arrive at this fact !).

In the top right corner there is a continuous zoom-in on Sierpinski's triangle, arguably one of the most well-known fractals besides the Mandlebrot set. I have drawn this fractal numerous times.

In the lower left corner there is a tesseract undergoing a simple fourth-dimensional rotation, as projected onto the 3D-plane.

In the lower right corner there is "a stable manifold of the origin in the Lorenz system", a term which I cannot profess to fully understand, but I believe it has to do with strange attractors.

Also...
It struck me as a surprise one could actually use MathJax with the category labeling system.