Suddenly and painfully, A Square is plucked out of his dimension and into Spaceland. A Sphere decides the only way to convince A Square of the three dimensions is to show him. A Square refuses to entertain the notion of three dimensions, resorting to violence with A Sphere. A Sphere declares that A Square is his apostle of the Three Dimensions and privately begins to explain things to him. The family prepares for another anxious night, only to be terrified by the sudden appearance of A Sphere, CEO of Messiah, Inc. At the marketplace, he meets a merchant selling a fascinating 'glow point', and buys one for A Hexagon, who has been sulking since being disciplined for coloring one of his sides purple. A Square scours the city, now under martial law, seeking B Square. A visit to B Square's home confirms that he is missing. A Square awakens to learn that the deadly riots originated in the Senate meeting that B Square was attending. Once asleep, A Square dreams of visiting a one-dimensional world, Lineland, and attempts to convince the realm's ignorant king of a second dimension, but fails to make him see outside of his eternally straight line. A Square just gets home safely, then barricades his family against the chaos for the night. President Circle's soldiers killed Senator Chromatistes and his supporters, sparking a riot across the city. On his way home he is caught in the melee leaving the Senate. Relaxing the laws has already been perceived as weakness by the Northern Kingdom who are massing on the borders.Īgainst his brother's warning, A Square meets his new client, the first female charged as a Chromatist. The Great Southern Republic distinguishes itself from its enemy, the Northern Kingdom, by its stances on Chromatism and Irregulars along with a democratic government. Traditionally taboo, laws against it had been relaxed this emboldened the Chromatists to demand legalization.

The movement seeks legalization of the right of Flatlanders to color their sides as they see fit. The Senate session has been called to discuss the increasing hostilities between the government and the Chromatist movement, led by Senator Chromatistes, an irregular dodecagon. The lesson is interrupted by A Square's brother B, a clerk to President Circle, warning A to stay home during a meeting at the Senate of the Great Southern Republic of Flatland. A Square, attorney at law, struggles to instruct his son, A Hexagon, in the art of sight recognition. In a two- dimensional world called Flatland populated by living squares, triangles, circles and other two-dimensional shapes, it is three days until the celebration of the year 3000.

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