# Flatland Questions

### David Akers

1) Abbott at one point states, "a Line, if I may so say, has 2 sides (for
the points of a Line may be called by courtesy, its sides)"

How is it that a line is said to have 2 sides? I realize that Abbott here
is talking of "sides" in a different sense.. referring instead to a
two-dimensional definiton of sides I suppose. But this concept becomes
even more confusing to me as I consider it in higher dimensions. What
exactly are the two-dimensional "sides" of a hypercube?

2) Another mathematical question: Abbott often uses "slice shapes" to
attempt to explain three dimensions to a flatlander, or two dimensions
to a one-dimensional being. Yet he limits his explanations to consecutive
dimensions. What would happen if a fourth dimensional solid were to
intersect a two-dimensional world, for instance?

3) I noticed also while reading Flatland that Abbott seems nearly obsessed
with the social setting of his world. In many ways the rigid class
distinctions he describes reminded me of the caste system in India.
Yet at various points Abbott makes not-so-subtle references to
"Revolution," perhaps likening an isosceles revolt to a Marxist
revolution. What were Abbott's political views? Was he a supporter of
Marxist ideology?