Talk:Steinhaus–Moser notation

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[edit] 2 in a megagon

What is a megagon?? I remember a time in Wikipedia history (in late March) when Wikipedia had an article called "megagon", saying something that is completely NONSENSE, namely "The megagon is a polygon similary to Megatron in shape". It was put on Vfd and all votes were to delete. Is there anyone who can create a MEANINGFUL article of the word "megagon"?? 66.245.19.157 17:27, 19 Sep 2004 (UTC)

How large is the number being referred to as "Mega"?? How many decimal digits does it have?? 66.32.248.67 23:37, 10 Nov 2004 (UTC)

As worked out in Steinhaus polygon notation, Mega = f(f(f(...f(256)...))) [256 functions f], where f(n)=n^n.

  • 256^256>10^600
  • (10^600)^(10^600)=10^(600*10^600)>10^10^600
  • (10^10^600)^(10^10^600)=10^((10^600)*(10^10^600))=10^10^(600+10^600)>10^10^10^600

And f has to be applied 253 times more.

The number of decimal digits is itself an extremely large number.--Patrick 00:26, Nov 11, 2004 (UTC)

Keeping base 256:

  • (256^256)^(256^256)=256^256^257
  • (256^256^257)^(256^256^257)=256^(256^257*256^256^257)=256^256^(257+256^257)

Patrick 00:52, Nov 11, 2004 (UTC)

[edit] Too large to name??

Are the numbers in this article also too large to name using the numbering system being talked about at the bottom of Talk:Tetration?? Graham's number I know for sure is too large for it, but I want to know if any other numbers being talked about in Wikipedia are too large. 66.245.78.117 16:29, 24 Nov 2004 (UTC)

[edit] circle = infinity

I learned that a circle has an infinite numer of corners. therefore, using the steinhaus-moser notation and the definition for the triangle/square/pentagon symbol, i would say the "number in the circle" must be an infinte number... Am i wrong? --Abdull 23:04, 30 September 2005 (UTC)

Theoretically, you would be correct. But unfortunately, when Steinhaus defined his notation, he did not nessicessarily continue in a predictable fashion, and the circle equal Moser's pentagon. Also, it is a common misconception than numbers cannot interact with infinity without becoming infinity. For instance, x^{x^{x^{x^{x^{...}}}}} continuing infinitely converges to a finite value as long as:

\frac{1}{e^e} < x < \sqrt[e]{e} He Who Is 00:52, 8 June 2006 (UTC)

[edit] Megist(r)on

The name I remember for 10 in a circle is "megiston", not "megistron". "Megiston" also gets many more Google hits (better than an 7-to-1 ratio on megiston "large number" vs megistron "large number", and many of the hits for the latter are reflections of either this article or (surprise, surprise) MathWorld. My guess is MathWorld has simply screwed up again. I've changed the article accordingly. --Trovatore 05:18, 11 January 2006 (UTC)

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