DEFINITION

So, fractangles – what is are they?　

For me, it begins with the merging of the words fractal and rectangle.

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FRACTAL

A fractal is a complex irregular shape in which any part resembles the whole thing.

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This can be true on any scale. Small shapes can look like large ones, and large shapes can look like small ones, giving fractals a visually confusing property known as self-similarity.

Naturally occurring fractals include coastlines, rock formations, river systems,　forests, ferns and lichens.

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RECTANGLE

A rectangle is any four-sided shape with four right-angled corners, such as a square or an oblong.　

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Combining the two ideas gives you fractal rectangle.

Combining the words gives you fractangle: a self-similar object, space or shape consisting of rectangles.