Patterns & Paradoxes

What is the mathematical term for a number pattern that never ends and never repeats?

Integer Prime number Recursive number Irrational number None

What does the Banach–Tarski paradox claim?

A line can fold into a cube A circle is made of infinite points, each with area A sphere can be split and reassembled into two identical spheres Infinite spheres can fit in a finite box None

Which shape has infinite perimeter but finite area?

Koch snowflake Sierpinski triangle Möbius strip Torus None

What paradox describes a situation where trying to avoid a problem causes it?

The Butterfly Effect The Catch-22 paradox Fermi Paradox The Paradox of Plenty None

What is the name of the paradox where the probability of shared birthdays increases rapidly in small groups?

Schrödinger’s Paradox The Monty Hall Paradox The Inclusion Paradox The Birthday Paradox None

In what sequence does each number equal the sum of the two preceding ones?

Prime series Geometric progression Harmonic sequence Fibonacci sequence None

What is the key feature of a fractal pattern?

Linear repetition Complete symmetry Randomness in distribution Self-similarity at different scales None

What is a pattern that appears random but is generated by deterministic rules called?

Stochastic system Quantum noise Random walk Chaotic pattern None

What does Gödel’s incompleteness theorem reveal about math systems?

Some truths cannot be proven within the system Logic can resolve all contradictions All equations are solvable Infinity can be reached numerically None

What is Zeno’s Paradox intended to demonstrate?

Motion is an illusion due to infinite divisibility The universe is finite Time is non-linear Light moves instantaneously None

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