Flatland, Section 15 summary
Section 15 of 22 · Part 2: Other Worlds “O brave new worlds, that have such people in them!” · 6 min to read the section
In Section 15, the narrator rejects his youngest grandson’s suggestion that cubing a number has a geometrical meaning, but a mysterious visitor appears and contradicts him. The visitor’s changing size confounds the narrator’s observations, and his request for a private conversation clears the room as the third Millennium begins.
What happens
- On the final night of 1999, the narrator recalls a geometry lesson in which his youngest grandson asks what the third power represents.
- The grandson proposes that a moving square produces another shape, but the narrator dismisses his reasoning and sends him to bed.
- As the narrator repeats his criticism, an unseen voice defends the boy and affirms the geometrical meaning of cubing.
- A strange figure appears, and the narrator notices that its apparent size changes.
- The narrator’s wife touches the visitor, discovers no angles, and apologizes for mistaking him for a woman.
- The visitor requests privacy with the narrator, the wife withdraws, and the hourglass marks the third Millennium’s beginning.

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In this section
What to notice
The visitor directly challenges the narrator’s certainty and validates the question that earns the grandson a rebuke.
Quick check
What makes the narrator’s wife abandon her belief that the visitor is a woman?
Cite this page
“Flatland, Section 15 summary.” Library of Alexandria, 2026, libraryofalexandria.com/pages/flatland-section-15-summary.
Library of Alexandria. (2026). Flatland, Section 15 summary. https://libraryofalexandria.com/pages/flatland-section-15-summary
“Flatland, Section 15 summary.” Library of Alexandria, 2026. https://libraryofalexandria.com/pages/flatland-section-15-summary.
@misc{flatland_section_15_summary_2026,
title = {Flatland, Section 15 summary},
publisher = {Library of Alexandria},
year = {2026},
url = {https://libraryofalexandria.com/pages/flatland-section-15-summary}
}

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