Math Test

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Root simplification is the process of rewriting a square root in its simplest form by using prime factorization.

This involves breaking the number inside the root into its prime factors and grouping them into pairs or higher powers, depending on the type of root.

Any complete groups can be taken out of the root, leaving the simplified form.

This method ensures the square root is as simple as possible while keeping its value unchanged.

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In 1980, Japanese astrophysicist Kōryō Miura devised a folding pattern that allows a map to be opened or refolded in a single motion by pulling on opposite ends.

That same folding logic has been used to Miura-fold large solar panel arrays in the Japanese space program before launch and deploy them in orbit.

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🐍 The Dragon Curve

The dragon curve, or Heighway dragon, is a fractal built from a very simple rule: keep folding a strip of paper the same way, then unfold it at right angles.

With each iteration, the line gets longer and more detailed, yet the whole shape stays inside a finite area.

The result is a self-similar pattern that curls around itself like a stylized dragon or a jagged coastline.

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🛠 A spring-powered V8 runs with no fuel or electricity

An engineer built a V8 engine driven only by wound springs. Energy is stored mechanically and released in a timed sequence to produce motion. It cannot run continuously or power a vehicle by design.

The build works as a mechanical demo. It shows timing and synchronization in a pure form, without combustion or electronics.

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🟡 The Golden Ratio explained

The Golden Ratio, φ ≈ 1.618, appears when the ratio between two values matches the ratio of their sum to the larger one.

Its most famous visual form is the Golden Spiral, built from expanding golden rectangles and quarter-circle arcs. The same proportion shows up in shells, hurricanes, and even galaxies.

It’s a simple rule that keeps repeating because it feels balanced to the eye.

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🔥 Fun π fact:

Add the first three sextads of π and you get 1588419

141592 + 653589 + 793238 = 1588419

Now skip ahead 15 digits and you land on 88419

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🚀 Comet Lemmon, photographed last month by Ignacio Fernández.

Its next pass by Earth will be in roughly 1,155 years.

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