Story Structure — 5 Plot Phases
A World of Fixed Shapes
Arthur's dream of glowing symbols accompanies an introduction to Flatland's inherited shapes and rigid social order. A new edict forbids discussion of higher dimensions and the ruins at Area 33H.
Key Events
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Arthur Dreams of Symbols — Arthur awakens after dreaming of strange, glowing symbols. Characters: Arthur Square (voice)
Location: Arthur's home
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Inheritance and Social Order — Arthur discusses inherited shapes and social roles with his granddaughter. Characters: Arthur Square (voice)
Location: Arthur's home
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Irregular Child Arrested — A Circle Priest arrests a slightly irregular octagon child.
Location: Flatland
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Edict Against Heresy — Pantocyclus bans discussion of higher dimensions and Area 33H.
Location: Flatland
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The Geometry Lesson — Arthur explains how arithmetic powers correspond to geometric dimensions. Characters: Arthur Square (voice)
Location: Arthur's home
The Journey Beyond Flatland
Arthur's dimensional journey takes him through Pointland and Lineland, where inhabitants struggle to imagine realities beyond their own. Spherius then reveals the existence of Spaceland and takes Arthur there.
Key Events
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The Geometry Lesson — Arthur explains how arithmetic powers correspond to geometric dimensions. Characters: Arthur Square (voice)
Location: Arthur's home
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The Box of Books — Arlene gives her granddaughter a box containing books and a model of Area 33H's symbols.
Location: Arthur's home
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Visit to Pointland — Arthur encounters the insane ruler of the zero-dimensional Pointland. Characters: Arthur Square (voice), King of Pointland (voice)
Location: Pointland
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Journey Through Lineland — Arthur meets a one-dimensional ruler unable to imagine an unseen dimension. Characters: Arthur Square (voice)
Location: Lineland
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Spherius Appears — Spherius appears as a point that grows into a circle and shrinks again. Characters: Arthur Square (voice), Spherius (voice)
Location: Arthur's living room
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Arrival in Spaceland — Spherius takes Arthur out of Flatland into the three-dimensional world. Characters: Arthur Square (voice), Spherius (voice)
Location: Spaceland
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The Cube at Area 33H — Arthur recognizes a cube moving through Flatland within the symbols. Characters: Arthur Square (voice), Spherius (voice)
Location: Area 33H
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Arthur Returns to Bed — Spherius urges Arthur to spread the word and returns him to bed. Characters: Arthur Square (voice), Spherius (voice)
Location: Arthur's home
The Secret of Area 33H
Arthur recognizes the symbols as depicting a cube passing through Flatland. When an intruder is reported at the ruins, Arthur and Abbott take a Ministry car to reach the site.
Key Events
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Arthur Returns to Bed — Spherius urges Arthur to spread the word and returns him to bed. Characters: Arthur Square (voice), Spherius (voice)
Location: Arthur's home
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Alarm at the Ministry — An alarm reports an intruder at Area 33H while Arthur is speaking with Abbott. Characters: Arthur Square (voice), Abbott Square (voice)
Location: Ministry
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The Ministry Car Stolen — Arthur persuades Abbott to help him take a Ministry car to the ruins. Characters: Arthur Square (voice), Abbott Square (voice)
Location: Ministry
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Escape Through the Cube — Arthur reveals the fate of Hex's parents and sends Hex through the cube symbol. Characters: Arthur Square (voice), Abbott Square (voice)
Location: Area 33H
Trial and Imminent Execution
Arthur sends Hex through the cube symbol and is arrested. At his trial, he argues for the third dimension, but his challenge to the established order leads to a death sentence.
Key Events
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Escape Through the Cube — Arthur reveals the fate of Hex's parents and sends Hex through the cube symbol. Characters: Arthur Square (voice), Abbott Square (voice)
Location: Area 33H
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Arthur Is Arrested — Arthur is arrested as the guards close in after Hex escapes upward. Characters: Arthur Square (voice)
Location: Area 33H
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Trial for Heresy — Arthur faces trial and argues that reason supports a third dimension. Characters: Arthur Square (voice)
Location: Courtroom
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Sentence of Death — Pantocyclus sentences Arthur to death after his appeal angers the Circles. Characters: Arthur Square (voice)
Location: Courtroom
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Spherius Rescues Arthur — Spherius removes Arthur from Flatland before the sentence can be carried out. Characters: Arthur Square (voice), Spherius (voice)
Location: Courtroom
A Larger Dimensional Mystery
Spherius saves Arthur, and the courtroom is disrupted when Arthur and Hex return from above. The final image of the installation reveals a tesseract rotating around its fourth axis.
Key Events
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Spherius Rescues Arthur — Spherius removes Arthur from Flatland before the sentence can be carried out. Characters: Arthur Square (voice), Spherius (voice)
Location: Courtroom
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The Fourth-Dimensional Reveal — The symbols reveal an installation of cubes orbiting a rotating tesseract. Characters: Arthur Square (voice), Spherius (voice)
Location: Area 33H