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Here are the parts to the stand. The wood tiers are 28", 24", 20", 16", 12", and 8". There are two 10" tiers as well that can be used for a bigger top tier and for a foot.
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Put a washer and nut at one end of a 1/2" threaded rod. The top (8" or 10") tier has a recessed center. Place that on the rod.
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Build the stand upside-down. I used pvc couplers that are 4" tall to separate the tiers. I covered them with pretty paper but they could be left white, covered with fabric, tulle - whatever fits the event. Steve cut wood centering disks that fit inside the couplers to hold the coupler in place.
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Add as many tiers and couplers as you want to.
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End with the larger centering disk and a washer and nut. This centering disk fits into the large pvc coupler that I'm using for a foot in the photo below.
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And there it is! The edges of the tiers can be left plain or covered with ribbon or strips of decorative paper. This configuration stands 29 1/2" tall and should hold LOTS of cupcakes. Celia, Rachel - I hope this is going to work for you!