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In a special algebra I use with amssymb the products


See also the two earlier answered questions sign for multiple $\Diamond$-product and Filled \Diamond-product sign. The two product signs \bDiamond and \bLozenge are opposite or partners in the sense that black and white are interchanged.

Now I would like to have

  • a partner sign for \bCircledast, i.e. a white asterisk on a black disk (the shape should be the same as \bCircledast) and

  • a partner sign for \bOdot, i.e. a white dot on a black disk (the shape should be the same as \bOdot)

Thanks in advance for your help!

share|improve this question
Note that \circledast and \odot are already binary operation symbols, so \mathbin is not necessary for them. – egreg Aug 18 '14 at 20:27
up vote 13 down vote accepted

Print a big black circle and overprint to it a white asterisk or a white dot.




$a\circledast b\invcircledast c$

$a\odot b\invodot c$

enter image description here

share|improve this answer
How to use the $\invcircledast$ sign as a multiple product sign with sub- and superscripts? – ocon Aug 18 '14 at 21:28
@HennerWild I think you're going to produce a not very nice document, if you use these symbols. ;-) – egreg Aug 18 '14 at 21:31
You are right; but it makes the notation more compact and much shorter. – ocon Aug 18 '14 at 21:37

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