The narrator and protagonist of the story, which he writes in prison—he has been arrested for attempting to educate others about the third dimension. A Square can be seen as the voice of Abbot himself…
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The Sphere / The Stranger
An inhabitant of Spaceland who visits Flatland at the start of every millennium in search of a new apostle who can enlighten others regarding the third dimension. A Square first refers to the Sphere as…
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The Monarch of Lineland
The king of the one-dimensional world of Lineland. Rude and ignorant, the Monarch fails to see or even consider anything that is not natural to his world. Despite A Square’s efforts to explain…
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The Monarch of Pointland
The king of Pointland, the Abyss of No dimension. He believes himself to be his entire world and universe. Although A Square tries to help the Point out of his complacency, the Point interprets A…
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A Square’s Grandson
The younger of A Square’s two hexagonal grandchildren. He exhibits unusual insight and, thus, perfect angularity. After A Square teaches his grandson the concept of squaring through the geometrical creation of one large square…
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The Chief Circle of Flatland during the time when painting was practiced and Flatlandians had color. He prevented the passage of the Universal Colour Bill and restored social order.
A Square’s Wife
A Square’s wife, the only female character in Flatland.
A Square’s Brother
A Square’s brother, who is also a square. He is imprisoned after witnessing the revelation of the Sphere.
The President
The head of the Grand Council who sentences A Square to perpetual imprisonment for attempting to educate other Flatlandians about the third dimension.