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Cube Root of Conquest
Rog Phillips (1909–1965)
A ruthless dictator plots global conquest using a revolutionary time-and-space bridge, unaware that a brilliant scientist has engineered a trap written in the mathematics of imaginary numbers.
In Short
Set on the planet Amba, this science fiction story follows the dictator Generalissimo Hute Hitle as he prepares to unleash nuclear annihilation to forge a unified world state. To escape the subsequent radioactive ruin and judgment, Hitle relies on physicist Carl Grinch, who has unlocked a method for traveling into parallel universes existing along a right-angle time continuum using a tri-matter bridge. Grinch secretly tricks the dictator, routing Hitle's destruction into an imaginary mathematical dimension while safeguarding his own world, resulting in a clever dismantling of fascist ambition through complex algebra.
The Story
The narrative opens with Jan, a swift nomadic hunter living among sparse survivors on the planet Amba, tracking a deer near the skeletal remains of an ancient skyscraper city and a ruined bridge. The deer vanishes over a mysterious, glowing square slab set into the turf. When Jan investigates with a stick, a bloated, uniformed figure emerges. This newcomer is Generalissimo Hute Hitle, who draws a gun and wounds Jan, forcing the hunter to kill him in self-defense. Hitle's body tumbles back into the glowing anomaly, leaving Jan to return to his nomadic routine.
The narrative then shifts to Hitle in his headquarters, conferring with Carl Grinch, the planet's premier scientist. Hitle is a ruthless dictator who rules Aleme and intends to plunge Amba into a devastating atomic world war. He believes that by annihilating billions, he can eliminate bickering nations and establish a permanent, unified world state under his sole authority. To escape the inevitable retaliation, war crimes trials, and atomic destruction of his own country, Hitle demands that Grinch provide a safe exit.
Grinch reveals a revolutionary scientific breakthrough: by solving the cubic equation governing space-time curvature, he has discovered that three parallel universes coexist in the same space but are separated sideways along a time continuum. Using a blended substance called tri-matter, Grinch has forged a permanent bridge into these parallel worlds. He shows Hitle a telescope view of a parallel landscape where a time machine is nearing completion, offering Hitle a pathway to travel three centuries forward safely while his enemies destroy themselves.
Convinced he is fulfilling a noble, historic destiny, Hitle initiates a global nuclear holocaust by pressing the buttons on his subterranean control panel. Once the devastation is underway, Hitle and his general staff march to the research building, bid a solemn farewell to Grinch, and step across the glowing tri-matter slab into the parallel universe, eager to await their future homecoming.
Immediately after they cross, Carl Grinch severs the power disconnects, isolating the parallel universe where the atomic holocaust has occurred. Standing before a tribunal of the United Nations of Amba, Grinch explains the complete truth to the public. The cubic equation governing space-time has only one real root—their own universe—while the other two are imaginary. By manipulating the tri-matter field, Grinch ensured that Hitle's destructive conquest occurred entirely within an imaginary mathematical plane. Hitle achieves his conquest, but it is merely the "cube root of conquest"—an imaginary outcome where reality remains untouched, forever neutralizing the dictator's threat.
How It Unfolds
- The mysterious vanishing: Jan hunts a small deer across a ruined landscape until the animal steps onto a glowing square slab and disappears completely. When Jan probes the anomaly with a stick, a hostile, uniformed man struggles out of the void.
- A lethal encounter: The strange man draws a gun and shoots Jan in the shoulder, but the agile hunter retaliates and slashes the attacker's throat. The dying man tumbles back into the glowing square, leaving Jan to resume his solitary trek.
- The dictator's grand design: Generalissimo Hute Hitle confers with the scientist Carl Grinch, planning a global atomic war to eradicate opposition and establish a unified world state. Hitle intends to use a parallel dimension to ride out the nuclear fallout and return centuries later as a god-king.
- Unveiling the sideways bridge: Grinch explains his mathematical solution to space-time curvature, showing how he used tri-matter to anchor a bridge into parallel universes existing at right angles in the time continuum. Through a telescope, Hitle inspects a parallel world where a time machine is being built for his escape.
- The final holocaust: Believing he is making a supreme sacrifice for humanity's future, Hitle executes the nuclear strike from his subterranean bunker. He and his general staff then march across the tri-matter slab into the parallel world to await their future return.
- The mathematical truth revealed: Grinch severs the bridge's power, trapping the dictator in an imaginary mathematical realm. Standing before the United Nations tribunal, Grinch explains that because the universe's space-time equation features only one real root, Hitle's conquest was entirely imaginary—the true cube root of conquest.
The People
Generalissimo Hute Hitle is the ruthless dictator of Aleme who wants absolute, unchallengeable global dominance achieved through a unified world state. Standing in his way are stubborn national rivalries, potential military defeat, and the looming threat of execution as a war criminal after an atomic conflict. He ends up utterly deceived, stepping willingly into an imaginary parallel dimension where he remains trapped, believing he has successfully secured his legacy.
Carl Grinch is the brilliant, subtle chief scientist of Aleme who wants to permanently neutralize Hitle's tyrannical regime without triggering his own execution for insubordination. Standing in his way is the dictator's ruthless oversight and immediate demand for practical results. Grinch ends up completely triumphant, using rigorous cubic mathematics and psychological manipulation to outwit the dictator and safely deliver a detailed explanation to a United Nations tribunal.
Jan is a swift, long-limbed nomadic hunter living among the sparse survivors of a fallen civilization. He wants only to sustain himself by hunting across the rugged, uneven terrain, with the terrifying unknown standing directly in his path when he encounters bizarre spatial anomalies and armed visitors. He ends up physically wounded yet fundamentally unchanged, patching his shoulder at a healing spring before resuming his steady, solitary trot across the wilderness.
In Its Own Voice
Describing the bizarre spatial anomaly encountered by the nomad, the text notes how the animal vanished from reality:
The deer was headed directly toward a glistening square spot just ahead.
Explaining the complex theoretical framework behind his invention, the scientist outlines the nature of sideways time travel:
At this very moment there is an infinity of universes all occupying the same space, but each in a different position in time.
Reflecting on his grandiose delusions of leadership and self-perceived nobility, the dictator rationalizes his catastrophic actions:
The sacrifice of the billion or two now living is a SMALL price to pay, compared to the sacrifice of countless billions of future generations if I weaken.
What It's Really About
The story explores the dangerous intersection of totalitarian hubris, advanced theoretical physics, and the philosophical nature of reality. It questions whether large-scale human destruction can ever genuinely serve a noble utopian purpose, arguing that absolute political control inherently relies on profound self-delusion. By mapping fascist ambition onto imaginary mathematical numbers—specifically the complex cube roots of unity—the narrative posits that genuine existence and historical consequence cannot be permanently subverted by artificial constructs. Ultimately, it suggests that true reality resides in the balanced, natural flow of the universe rather than in the forced, destructive imposition of a single dominant will.
Why Read It Today
Readers who appreciate classic science fiction that blends hard mathematical concepts with political satire will find much to admire here. Reading the story feels like uncovering an intellectual puzzle box, transitioning smoothly from a primal wilderness survival narrative into a sharp critique of authoritarian psychology. The pacing moves with deliberate precision, balancing tense, atmospheric moments in the ruins of an ancient civilization with dense, fascinating dialogue about space-time equations.
Modern readers should note that the story contains mid-century pulp tropes, including an abrupt transition between a primitive stone-age protagonist and high-tech political machinations, which can feel jarring. Furthermore, the portrayal of the dictator reflects period attitudes toward wartime leadership and totalitarian psychology without modern psychological depth. Yet, what stays with you is the striking conceptual elegance of Grinch's solution—the idea that a tyrant's grand conquest can be neatly mathematically quarantined into an imaginary dimension. It is a thought-provoking, tightly constructed piece of speculative fiction that rewards close attention and lingers long after the final page.
This summary was written by AI (g4f/auto) on 2026-09-18 and is a guide to the book, not a replacement for it — it can be incomplete or wrong. The book itself is public domain. Copyright & AI disclosure · Report a problem





