After buying groceries for his mom, who turned out to be an undercover Government agent, Quaddy was kidnapped by a group of rebels posing as the Axion Police, who attempted to question Quaddy about the number sequences his mother was passing on to the Government via a contact at the grocery store. But Quaddy wasn't so cooperative... [if you want just the puzzle, skip down to the bottom of this post ]
"Look!" he shouted, pointing wildly. "An uncommon denominator!" The rebel wasn't fooled nor amused. Another person stepped into the warehouse and suggested, "Take him to the Perfect Cube."
The other rebel nodded and the two pulled out scissors, undoing Quaddy's bonds and manhandling him across the warehouse, down a flight of rusting metal stairs and through a solid titanium door... into a perfect cube.
"You'll soon be talking!" they laughed, slamming the door shut. The door merged so seamlessly with the smooth titanium walls of the cube that Quaddy was suddenly discombobulated and claustrophobic. After a few sweaty seconds of turning and mumbling, he had no idea where the door was.
Then the Cube began to spin. It whirled in all directions, tossing Quaddy around like a rag doll, blood whooshing to one side of his brain and then the other, his bones cracking with the continual impact of slamming into walls.
When the Cube finally stopped spinning, Quaddy was surrounded in blood and vomit. He was so dizzy that he didn't notice the door opening and men dragging him out, dragging him down the hall, dragging him into another room where he was hefted into a big chair, an IV drip put into his arm and strange glasses placed over his eyes.
A surge of chemicals rejuvenated him, and he stared at his metallic surroundings. "That was some Perfect Cube," he muttered, conscious of a bloody, bruised abrasion on his leg.
The rebels laughed. "That? That wasn't the Perfect Cube. Its dimensions weren't even exact. This is the Perfect Cube." A small cube, exact perfect dimensions of a couple inches on each side, was placed on a stand in front of Quaddy.
"What is it?"
"More like, who is it," someone said. "They are our leader. A visionary. The greatest mathemitician ever. The Perfect Cube."
A light glowed suddenly on the cube's face and shone into Quaddy's eyes. He squinted, feeling it probe into his mind.
Yes... yes... you should be easy to crack, mused a voice that was inside of his brain. It was an unsettling feeling, as if numerical tentacles were probing his mind.
"Wha - what do you want?" Quaddy stammered.
Solve the following sequences, the Perfect Cube demanded. Quaddy could feel himself eager to solve them. The thing was taking over his mind!
Good, good the Perfect Cube hissed contentedly. I have raided your brain for all of the information we wanted earlier, and more. You are of no further use to us. Goodbye, Quadrangle.
Uh-oh.
Quaddy looked desperately to either side. Behind him, a door, guarded by rebels. In front, the vent to a mysterious vertical shaft...
What are the answers to the sequences? And how should Quaddy escape?
Question
unreality
After buying groceries for his mom, who turned out to be an undercover Government agent, Quaddy was kidnapped by a group of rebels posing as the Axion Police, who attempted to question Quaddy about the number sequences his mother was passing on to the Government via a contact at the grocery store. But Quaddy wasn't so cooperative... [if you want just the puzzle, skip down to the bottom of this post
]
"Look!" he shouted, pointing wildly. "An uncommon denominator!" The rebel wasn't fooled nor amused. Another person stepped into the warehouse and suggested, "Take him to the Perfect Cube."
The other rebel nodded and the two pulled out scissors, undoing Quaddy's bonds and manhandling him across the warehouse, down a flight of rusting metal stairs and through a solid titanium door... into a perfect cube.
"You'll soon be talking!" they laughed, slamming the door shut. The door merged so seamlessly with the smooth titanium walls of the cube that Quaddy was suddenly discombobulated and claustrophobic. After a few sweaty seconds of turning and mumbling, he had no idea where the door was.
Then the Cube began to spin. It whirled in all directions, tossing Quaddy around like a rag doll, blood whooshing to one side of his brain and then the other, his bones cracking with the continual impact of slamming into walls.
When the Cube finally stopped spinning, Quaddy was surrounded in blood and vomit. He was so dizzy that he didn't notice the door opening and men dragging him out, dragging him down the hall, dragging him into another room where he was hefted into a big chair, an IV drip put into his arm and strange glasses placed over his eyes.
A surge of chemicals rejuvenated him, and he stared at his metallic surroundings. "That was some Perfect Cube," he muttered, conscious of a bloody, bruised abrasion on his leg.
The rebels laughed. "That? That wasn't the Perfect Cube. Its dimensions weren't even exact. This is the Perfect Cube." A small cube, exact perfect dimensions of a couple inches on each side, was placed on a stand in front of Quaddy.
"What is it?"
"More like, who is it," someone said. "They are our leader. A visionary. The greatest mathemitician ever. The Perfect Cube."
A light glowed suddenly on the cube's face and shone into Quaddy's eyes. He squinted, feeling it probe into his mind.
Yes... yes... you should be easy to crack, mused a voice that was inside of his brain. It was an unsettling feeling, as if numerical tentacles were probing his mind.
"Wha - what do you want?" Quaddy stammered.
Solve the following sequences, the Perfect Cube demanded. Quaddy could feel himself eager to solve them. The thing was taking over his mind!
(1) Two strands, entangled together:
(2) Each part of the sequence contains multiple numbers: (3) The following sequences each follow the same rule to generate the next number: (4) What is next in the sequence?Quaddy gave the answers, gasping in pain.
Good, good the Perfect Cube hissed contentedly. I have raided your brain for all of the information we wanted earlier, and more. You are of no further use to us. Goodbye, Quadrangle.
Uh-oh.
Quaddy looked desperately to either side. Behind him, a door, guarded by rebels. In front, the vent to a mysterious vertical shaft...
What are the answers to the sequences? And how should Quaddy escape?
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