were these indicated in any books?
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what does patterns in nature refer to? They are visible regularities of form found in the natural world. what patterns does it include? It includes symmetries, trees, spirals, meanders, waves, foams, tessellations, cracks and stripes. what is it caused by? Causes can be in the mathematics that governs what patterns can physically form, and among living things in the effects of natural selection, that govern how patterns evolve.
Patterns from nature Yes, Patterns from nature (as art) "On Growth and Form"
Patterns in nature Patterns in nature Patterns in nature
Bibliography Bibliography History
Patterns from nature Patterns from nature (as art) A. H. Church studied the patterns of phyllotaxis in his 1904 book. In 1917, D'Arcy Thompson published "On Growth and Form"; his description of phyllotaxis and the Fibonacci sequence, the mathematical relationships in the spiral growth patterns of plants showed that simple equations could describe the spiral growth patterns of animal horns and mollusc shells.
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Patterns in nature [SEP] Causes
Living things like orchids, hummingbirds, and the peacock's tail have abstract designs with a beauty of form, pattern and colour that artists struggle to match. The beauty that people perceive in nature has causes at different levels, notably in the mathematics that governs what patterns can physically form, and among living things in the effects of natural selection, that govern how patterns evolve. Mathematics seeks to discover and explain abstract patterns or regularities of all kinds. Visual patterns in nature find explanations in chaos theory, fractals, logarithmic spirals, topology and other mathematical patterns. For example, L-systems form convincing models of different patterns of tree growth.