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The exchange between two oppositely situated cusps in the above configuration involves the superposition of two Astroid and Cusp configurations set at 45 degrees to each other where a single configuration with an Astroid and Cusp is none commutative, unlike an odd numbered geometry that commutes between its own Epicycloids. This even-numbered combination produces an eight-point star hypocycloid doubling as an Exchange Lever's null-point world line.
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