How do I change the software center icon in the launcher?

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http://askubuntu.com – I'm not a big fan of the Software Center icon (apparently I'm not the only one: http://www.omgubuntu.co.uk/2011/09/software-centre-icon-proposal). Is there a way change it? The answers to this related question doesn't make it clear whether there is: How to change the Dash icon in the Unity Launcher? As far as I can see the Software Center icon isn't in nautilus /usr/share/unity/5/ so where could it be? (HowTos)