**From:** Jukka K. Korpela (*jkorpela@cs.tut.fi*)

**Date:** Mon Jan 23 2006 - 01:27:44 CST

**Previous message:**Philippe Verdy: "Notation of very large numbers"**In reply to:**Philippe Verdy: "Notation of very large numbers"**Next in thread:**James Cloos: "Re: Notation of very large numbers"**Messages sorted by:**[ date ] [ thread ] [ subject ] [ author ] [ attachment ]**Mail actions:**[ respond to this message ] [ mail a new topic ]

On Mon, 23 Jan 2006, Philippe Verdy wrote:

*> * the number "n in a triangle":
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*> denotes "n to the power of n" (representation is possible
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*> within existing Unicode plain-text),
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*> i.e. n^n;
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By representation within existing Unicode plain-text, do you mean the

notation n^n literally (it's just an attempt at denoting n to the power n

in ASCII), or n followed by U+207F SUPERSCRIPT LATIN SMALL LETTER N,

or n followed by U+20E4 COMBINING ENCLOSING UPWARD POINTING TRIANGLE?

*> * the number "n in a square":
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*> denotes "n within n triangles" (impossible to represent within
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*> existing Unicode plain-text),
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If n in a triangle is n followed by U+20E4, then n in a square would be

n followed by U+20DE COMBINING ENCLOSING SQUARE.

*> * the number "n in a circle" (or pentagon):
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*> denotes "n within n squares";
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Similarly, this could, in theory, be written in Unicode as

n followed by U+20DD COMBINING ENCLOSING CIRCLE. Alternatively,

the character U+24DD CIRCLED LATIN SMALL LETTER N could be used.

*> * the number "n in a hexagon":
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*> denotes "n within n circles" (or pentagons);
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*>
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*> * etc (generalized to polygons with growing number of vertices)
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Unicode currently has no combining enclosing hexagon, not to mention

"higher" polygons.

*> Such notation cannot be strictly represented as such within Unicode
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*> (but upper-layer mathemetical layout syntaxes may be used).
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Some of the notations you mention _can_ be written in Unicode plain text,

when the symbol that is to appear in a triangle, square, or circle is a

single character.

Whether this is a feasible approach is very questionable, since in

contexts where you would use such notations, you probably need

higher-level tools (such as a formula editor, a mathematical markup

language, or some TeX-based system) anyway, and then you get much better

rendering for these notations, too.

-- Jukka "Yucca" Korpela, http://www.cs.tut.fi/~jkorpela/

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