8. Nature’s Lessons

Learning About Geometry and Structure in Nature

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Inherent in the Curved Space Diamond Structure are many lessons relative to understanding the nature of things – the nature of nature at a fundamental level. Pervasive ideas and phenomena in nature are brought to life as an experiential encounter. At the root of it all is geometry. Not the boring geometry of every day applications, but the essential three-dimensional geometry that underpins natural structure.

The language of geometry includes concepts of lines, angles, adjacencies, polygons, and polyhedra. It includes patterns in space such as tiling and space filling. We can understand nature’s patterns of least energy through geometry, with the concept of minimal surfaces such as exhibited by the bee’s honeycomb and by soap bubbles. Bubble froth leads to an understanding of biomorphic cell shape.

We understand molecules and crystal structures through the demonstration of uniformly repeatable components in three-dimensional space. We see that the shape of geometry impacts how substances behave and organize themselves.
This leads to the phenomenon that all things are made from a kit-of-parts at some level of scale.

The idea of scale independence is inherent in geometric structure. Certain phenomena occur without reference particular size. The shapes of bubbles in froth can be seen with the unaided eye. The shapes of cells in biological tissue are topologically equivalent to the shape of the bubbles, but require significant magnification to see. Both of these examples are driven by nature’s principles of least energy and manifested as specific geometric relationships. Such geometric relationships are expressed as lines, angles, surfaces, and shapes.

The shape of things is ultimately understood through geometry. The Curved Space Diamond Structure provides an interactive, immersive experience that brings that phenomenon to life. And in so doing also provides a compelling aesthetic experience that can stand in for high art.

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