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math.CO2010
A Ham Sandwich Analogue for Quaternionic Measures and Finite Subgroups of S^3
Steven Simon
A "ham sandwich" theorem is established for n quaternionic Borel measures on quaternionic space H^n. For each finite subgroup G of S^3, it is shown that there is a quaternionic hyp…
math.CO2010
From the Ham Sandwich to the Pizza Pie: A Simultaneous Z_m Equipartition of Complex Measures
Steven Simon
A "ham sandwich" theorem is derived for n complex Borel measures on C^n. For each integer m>=2, it shown that there exists a regular m-fan centered about a complex hyperplane, sati…