UP STAR

    Keywords: EndGame, Theory

In Combinatorial Game Theory UP STAR, written “↑*” or “``"↑"ast``”[1], is equal to the sum of the infinitesimals UP (``uarr``) and STAR (``ast``). It is fuzzy, which means that the first player wins.

In chilled go, where each move costs one point, this position is an UP STAR.

[Diagram]

UP STAR in chilled go



For a discussion of a position like this one, see More Infinitesimals.

Coding UP STAR

When coding UP STAR while editing an article it may be written:

  • In plain text, using an HTML entity for UP and a normal asterisk for STAR: “↑*”, yielding “↑*”; this raises the star unwantedly, which is not quite consistent with printed CGT texts, but not too bad.
  • In MathJax, using the codes “uarr” and “ast”:
    • Do not use MathJax in the text of a link nor in a section heading or diagram title (both of which generate links in the Table of Contents).
    • It is preferable to use a literal (with an HTML entity) for UP (but not for STAR): “`` "↑"ast ``”, yielding “``"↑"ast``”.
    • Enclose in invisible brackets if part of a larger formula: “`` uarr - ast = uarr + ast = {:"↑"ast:} ``”, yielding “`` uarr - ast = uarr + ast = {:"↑"ast:} ``”.
      • If anyone discovers a simpler way to achieve this, please note it here.
    • The simpler code “`` uarr ast ``”, yields “`` color(DarkRed)(uarr ast) ``”, which unfortunately contains a confusing extra space.

Notes

[1] Written in plain text and MathJax respectively; see the section on Coding UP STAR for details.


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