Patterns & Paradoxes

What is the key feature of a fractal pattern?

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

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

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

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

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

What is Zeno’s Paradox intended to demonstrate?

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

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

Quantum noise Stochastic system Chaotic pattern Random walk None

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

Irrational number Recursive number Integer Prime number None

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

Fibonacci sequence Harmonic sequence Geometric progression Prime series None

What does the Banach–Tarski paradox claim?

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

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

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

Which shape has infinite perimeter but finite area?

Sierpinski triangle Torus Möbius strip Koch snowflake None

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