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Flatland · Chapter

VII: Concerning Irregular Figures explained

The Square explains the fundamental importance of Regularity in Flatland, where all figures must have equal sides.

What happens

The Square explains the fundamental importance of Regularity in Flatland, where all figures must have equal sides. He argues that Irregularity threatens social order, making Sight Recognition impossible and leading to chaos. He discusses the harsh treatment of Irregulars—including destruction or confinement—and defends these measures as necessary for the safety of the State, while advocating a moderate approach that spares those who can be cured.

Themes in this chapter

  • Conformity and Deviance

    The chapter centers on how Flatland enforces geometric regularity as a social norm, punishing Irregularity as a threat to civilization.

  • Social Hierarchy and Class

    The Square describes how Irregulars are relegated to the lowest clerical positions, barred from marriage, and subjected to constant surveillance.

  • Perception and Reality

    Sight Recognition depends on Regularity; Irregularity would collapse the entire system of visual identification and social trust.

Characters to notice

  • The Narrator (A Square)

    The Square presents his views on Irregularity, defending the penal laws while advocating a via media.

  • The Circles

    Referenced as the highest class whose members have sometimes been Irregular in youth but later became men of genius.

  • The Isosceles

    Mentioned as soldiers and artisans whose sides must be equal; also as potential Irregulars causing danger in crowds.

Key passages

  • If a man with a triangular front and a polygonal back were allowed to exist and to propagate a still more Irregular posterity, what would become of the arts of life?

    If an Irregular figure were permitted to live and reproduce, everyday activities like building houses and entering doors would become impossible.

    The Square uses a rhetorical question to argue that Irregularity would disrupt all practical aspects of Flatland life.

  • I for my part have never known an Irregular who was not also what Nature evidently intended him to be—a hypocrite, a misanthropist, and, up to the limits of his power, a perpetrator of all manner of mischief.

    In my experience, every Irregular is naturally deceitful, antisocial, and harmful.

    The Square asserts a direct link between geometric Irregularity and moral corruption, dismissing opposing views.

  • Advocating therefore a via media, I would lay down no fixed or absolute line of demarcation; but at the period when the frame is just beginning to set, and when the Medical Board has reported that recovery is improbable, I would suggest that the Irregular offspring be painlessly and mercifully consumed.

    I propose a middle path: no strict rule, but when a child's Irregularity is deemed incurable by doctors, it should be painlessly killed.

    The Square endorses a moderate policy of selective infanticide, balancing mercy with the needs of the State.