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flatland

Flatland commonly refers to land that is very level and lacks significant variations in elevation, such as plains, prairies, or floodplains. In a mathematical context, flatland denotes a two-dimensional space—a plane with only length and width, where points, lines, and shapes exist and move without depth. The concept is central to studies of geometry and topology as a model for two-dimensional motion and shape interactions.

Flatland: A Romance of Many Dimensions, published in 1884 by Edwin A. Abbott, is a satirical novella

Outside of literature, flatland is used in geography and geology as a descriptive term for flat terrains,

that
imagines
a
world
inhabited
by
geometric
shapes
living
in
a
two-dimensional
plane.
Through
the
narrator,
a
Square,
the
book
explores
the
nature
of
dimensions,
ultimately
challenging
readers
to
consider
abstractions
beyond
immediate
perception.
The
work
uses
social
satire
to
critique
Victorian
society
and
has
influenced
discussions
of
dimensions
in
mathematics,
philosophy,
and
science
fiction.
and
it
appears
in
discussions
of
land
use,
cartography,
and
environmental
planning.
In
science
and
education,
the
notion
of
flatland
serves
as
a
teaching
tool
for
introducing
two-
and
higher-dimensional
thinking,
dimensional
reduction,
and
the
limits
of
observation.