File:Nested set V4.svg

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Description
The subsets of V_4 are numbered in reverse binary order.
The subsets of V_4 are numbered in reverse binary order.

V4 = P^4({}) = P( P( P(P({})))) is the powerset of the power set of the power set of the power set of the empty set.

Compare: File:Elements of P^4(empty set) in Hasse diagram.svg

The number of rings in the representation of each number is described by Sloane's A116549.
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Watchduck
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