Last Updated：2025/12/30
Sentence
These
duals
are
also
called
Catalan
solids,
because
Catalan
was
the
first
mathematician
who
described
all
of
them,
cf.
Brückner
(1900,
p.
160).
Some
of
the
Catalan
solids
are
much
older,
e.g.,
the
rhombic
dodecahedron,
which
plays
a
role
in
crystallography
(cf.
chapter
37),
and
the
rhombic
triacontahedron,
which
is
of
some
importance
also
in
the
theory
of
quasicrystals
(cf.
chapter
3.5).
Quizzes for review
These duals are also called Catalan solids, because Catalan was the first mathematician who described all of them, cf. Brückner (1900, p. 160). Some of the Catalan solids are much older, e.g., the rhombic dodecahedron, which plays a role in crystallography (cf. chapter 37), and the rhombic triacontahedron, which is of some importance also in the theory of quasicrystals (cf. chapter 3.5).
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