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  • $\begingroup$ I had not considered rearranging the pieces between cuts when I wrote the problem. $\endgroup$
    – gyancey
    Commented Dec 21, 2019 at 15:42
  • $\begingroup$ This is a great answer. However, your second answer is possible without moving the pieces. $\endgroup$
    – gyancey
    Commented Dec 21, 2019 at 18:41
  • $\begingroup$ I was trying to visualise a cake with slices shaped such that the typical party guest could be served a helping that still looks like a slice of cake; when two parts can be pressed together. There is another answer which party guests who enjoy unusally shaped food will find wildly satisfying! $\endgroup$ Commented Dec 21, 2019 at 18:47
  • $\begingroup$ OK. I can match your second answer without moving the pieces and also every piece will be wedge shaped. $\endgroup$
    – gyancey
    Commented Dec 21, 2019 at 19:19