# Three-Dimensional Guillotine Partitions

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A guillotine slice of a rectangle in the plane is a line parallel to an edge of from edge to edge, thus forming sub-rectangles. A guillotine partition is the set of sub-rectangles formed by applying guillotine slices to previously formed sub-rectangles.

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Contributed by: Robert Dickau (February 2024)

Open content licensed under CC BY-NC-SA

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## Details

Initial counts [1]: 1, 3, 15, 93, 645, 4791, 37275, 299865, 2474025, …

Reference

[1] R. Stephan. "The On-Line Encyclopedia of Integer Sequences." (Jan 18, 2024) oeis.org/A103210.

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