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Neptune was discovered with mathematics before anyone saw it.

Astronomers noticed Uranus drifting from its predicted path. Urbain Le Verrier calculated where an unknown planet must be pulling it, and in 1846 Johann Galle found Neptune within about one degree of that prediction on his first night of looking.

Bananas are berries — strawberries are not.

Botanically, a berry develops from a single flower with one ovary and has seeds inside. Bananas qualify; strawberries carry their seeds on the outside and come from a flower with many ovaries.

You cannot tickle yourself.

The brain predicts the sensation of your own movements and dampens the response. Because there is no surprise, the tickle reflex does not fire the way it does when someone else touches you.

The human body gives off a very faint glow.

Japanese researchers using ultra-sensitive cameras in 2009 found that the body emits extremely weak visible light that rises and falls during the day. It is about a thousand times too faint for our eyes to see.

The strongest muscle for its size may be the jaw muscle.

The masseter, which closes the jaw, can generate very high force relative to its size, which is why human bite force is surprisingly strong. “Strongest muscle” depends on how you measure — the heart and the glutes have other claims.

Mount Everest grows a few millimetres every year.

The Indian tectonic plate is still pushing into Asia, lifting the Himalayas. Measurements suggest Everest rises by a few millimetres per year, though earthquakes and erosion also change its height.

Water expands by about 9% when it freezes.

Most substances shrink when they solidify, but water molecules lock into an open hexagonal crystal as ice. That is why ice floats, pipes burst in winter and lakes freeze from the top down, protecting the life below.

There is a planet where it may rain glass sideways.

On the exoplanet HD 189733 b, astronomers think silicate particles form clouds, and winds of several thousand kilometres per hour could blow molten glass droplets sideways. Its deep blue colour comes from those clouds.

Saturn would float in a big enough bathtub.

Saturn’s average density is lower than that of water, because it is mostly hydrogen and helium. It is the only planet in the Solar System less dense than water — though you would need a very large bathtub.

A ‘jiffy’ is a real unit of time.

In computing it is often the time between system timer ticks; in physics it has been defined as the time light takes to travel one centimetre — about 33.4 picoseconds.