Would it help if you put a small dowel in the center (centre, Jeff) of 
the assembly? You would need to rip a small strip off the pointy edge of 
each pie slice (equal to the radius of the dowel). The dowel might make 
it easier to get all the pieces into place before you apply the rubber 
bands or hose clamps.

Disclaimer: I've never done this, so apply the appropriate discount to 
the purchase price for this advice...

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Peter Marquis-Kyle
www.marquis-kyle.com.au