The examined world

Science

Experiments, discoveries and scale-shifting facts about matter, life and the universe.

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Q0850
WonderScience

The Fibonacci sequence appears in some natural patterns, such as certain flowers and seed arrangements, but not everywhere nature is beautiful.

Each Fibonacci number is the sum of the two before it, and related spirals can appear where growth packs repeated parts efficiently. But nature is not forced to follow one sequence in every shell, leaf or storm. This matters because wonder should not require exaggeration. The lesson: patterns are more powerful when we respect their limits.

Q0851
WonderScience

Gödel showed that any rich enough formal mathematical system contains true statements it cannot prove from inside itself.

Gödel's incompleteness theorems shook the dream that mathematics could be made into one complete, self-proving machine. In systems powerful enough for arithmetic, consistency and completeness cannot both be secured in the hoped-for way. This matters beyond maths because it humbles perfect-system thinking. The lesson: even rigour has boundaries.

Q0952
WonderScience

Ordinary matter makes up only about five percent of the universe; the rest is mostly dark matter and dark energy inferred from gravity and expansion.

Stars, planets, bodies and phones are made of ordinary matter, but cosmology suggests they are a minority of the cosmic budget. Dark matter helps explain gravitational behaviour, while dark energy is linked to the universe's accelerating expansion. This matters globally because science is honest about what it cannot yet see directly. The lesson: reality is larger than the visible part.

Q0993
WonderScience

Ordinary glass is made by melting silica-rich sand at very high temperatures, then cooling it into an amorphous solid.

Glassmaking turns common minerals into a transparent material that can become windows, lenses, bottles, screens and fibre optics. The process depends on heat, additives and careful cooling. This matters globally because glass changed homes, science, medicine and communication. The lesson: civilisation often begins by changing what a material can do.

Q1094
WonderScience

We still have more complete high-resolution maps of the Moon and Mars than of much of Earth's ocean floor.

Seabed mapping has improved quickly, but current global efforts still leave most of the ocean floor not mapped to modern high-resolution standards. That is astonishing when compared with the mapped surfaces of the Moon and Mars. This matters for navigation, hazards, climate, habitats and history. The lesson: the unknown is not only above us; it is below us.