Distance and Displacement

Distance and Displacement

Distance One of the most used concepts is ‘distance,’ which means the total distance actually moved. If you move in zigzag, the actual distance traveled can be quite long, even if the straight distance is short. … more

Koch Curve

Koch Curve

Koch curve Koch curve is a kind of fractal curve. It appeared in a 1904 paper titled ‘On a Continuous Curve Without Tangents, Constructible from Elementary Geometry’ by the Swedish mathematician Helge von Koch. Suppose there … more

Pythagoras Tree

Pythagoras Tree

The Pythagoras tree is a plane fractal constructed from squares. Invented by the Dutch mathematics teacher Albert E. Bosman in 1942. It is named after the ancient Greek mathematician Pythagoras. Fractal’s self-similarity Fractal curves retain their … more

Pascal's Triangle

Pascal’s Triangle

Pascal’s triangle is a triangular array of the binomial coefficients. Each number is the sum of the two numbers directly above it. Pascal’s triangle has many properties and contains many patterns of numbers. The sum of … more

C Curve

C Curve

The C curve is a kind of fractal geometry. Bend each side 90 degrees. Bend this side again 90 degrees. Repeating this operation infinitely can get a C curve. Fractal’s self-similarity Fractal curves retain their original … more

Dragon Curve

Dragon Curve

A dragon curve is a piece of paper folded several times in the same direction as the picture and then bent vertically. This curve does not intersect even though it may touch. As the number of … more

Hilbert Curve

Hilbert Curve

A Hilbert curve is a continuous fractal space-filling curve first described by the German mathematician David Hilbert in 1891. Fractal’s self-similarity Fractal curves retain their original shape even if they are greatly enlarged. Most fractal curves … more

Sierpinski Curve

Sierpinski Curve

Sierpiński curves are a recursively defined sequence of continuous closed plane fractal curves discovered by Wacław Sierpiński. Fractal’s self-similarity Fractal curves retain their original shape even if they are greatly enlarged. Most fractal curves produce the … more