In finite geometry and combinatorics,
an inscape is a 4x4 array of square figures,
each figure picturing a subset of the overall 4x4 array:

Inscapes provide a way of picturing
the following equivalent concepts:

The generalized quadrangle GQ(2,2),

Tutte's 8-cage, and

the Cremona-Richmond 15₃ configuration (pdf):

Diamond Theory shows that this structure
can also be modeled by an inscape:

The illustration below shows how the
points and lines of the inscape may
be identified with those of the
Cremona-Richmond configuration.

Related material on inscapes:

The 2-Subsets of a 6-Set are the Points of a PG(3,2)

A Symplectic Approach to the Miracle Octad Generator

Inscapes, Inscapes II, Inscapes III, Inscapes IV

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