Give an example of a pattern that occurs in nature but does not involve numbers. Elaborate.
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I don't know if that's possible.
Many plants have leaf patterns based on fractals. A 3 leaf clover has the center of the leaves at 120° angles. A 4 leaf clover has the leaf centers at 90° angles. The shape of animals is based on their environment, and what their needs are. This involves a lot of geometry and numbers.
Mountains are either old volcanoes or the result of tectonic collisions. As a result, their shape is governed by mathematics.
Waves in the sea are caused by water particles traveling in circles. And breakers are caused by the ocean floor interrupting that circle.
The Earth is an oblate spheroid due to revolution speed at the equator and slowness at the poles. Planetary orbits around the Sun are elliptical.
There are a few basic shapes to galaxies. Ours is a spiral galaxy. All shapes are governed by geometry.
Every single example above involves mathematics and ultimately numbers.
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