It continues the study of algebra and trigonometry.

It is the most basic branch of mathematics.

¿ True or False:

Patterns in nature are regularities found in unnatural order.

¿ True or False:

Plato, Pythagoras and Empedocles are examples of philosophers who studied patterns to explain order in nature.

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In 19th Century, he/they formulated the concept of minimal surface by examining soap films in visible oil.

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In 19th Century, he/they showed that simple equations could explain spiral growth.

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In 19th Century, he painted hundreds of marine organisms to emphasize their symmetry.

¿ True or False:

In 20th Century, Lindenmayer and Turing showed how the mathematics of fractals could create plant growth patterns.

In 20th Century, he predicted mechanisms of morphogenesis which gave rise to patterns of spots and stripes; came to be known as "Turing Pattern."

In 20th Century, he adopted the following patterns for his landscapes: scattered, fractured, mosaic, naturalistic drift, serpentine, spiral, radial, dendritic.

These are patterns which are not consciously arranged (e.g. raindrops)

The bark of a tree is an example of this kind of pattern.

These patterns are said to have ridges on the surface.

These patterns are attributed to natural phenomena and sceneries (e.g. flow of water in the river)

A pattern arranged along wavy (sinusoidal) lines, reminiscent of reptilian movements.

A pattern that is common among the flowers.

A pattern formed by diverging a line from a common center (just like sun's ray).

A pattern resembling a tree branch.

Number of legs of an insect

Number of wings of a bird.

Number of hooves of a cow

Number of petals of a flower.

These are infinitively complex patterns that are self-similar across different scales.

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Discoveries in the 20th Century

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Discoveries in the 19th Century

¿ True or False:

Modern understanding of visible patterns correlates mathematically with simple translation of patterns.