Geometry Seems Disconnected from Reality

Why is geometry often described as 'cold' and 'dry?' One reason lies in its inability to describe the shape of a cloud, a mountain, a coastline, or a tree. Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line... Nature exhibits not simply a higher degree but an altogether different level of complexity.

Notes:

It deals with orbs and squares, but clouds and trees are much more complex.

Folksonomies: complexity geometry

Taxonomies:
/science/mathematics/geometry (0.508859)
/technology and computing (0.150474)
/science/physics/thermodynamics (0.141045)

Keywords:
altogether different level (0.979814 (positive:0.576187)), higher degree (0.806142 (neutral:0.000000)), lightning travel (0.805642 (negative:-0.550952)), straight line (0.803059 (negative:-0.550952)), clouds (0.725094 (negative:-0.536452)), Disconnected (0.634898 (negative:-0.567938)), orbs (0.619243 (negative:-0.567938)), geometry (0.614650 (negative:-0.420641)), inability (0.613105 (negative:-0.490417)), coastlines (0.611840 (negative:-0.422196)), coastline (0.594187 (neutral:0.000000)), squares (0.593426 (negative:-0.567938)), spheres (0.590443 (negative:-0.561941)), cones (0.581801 (negative:-0.378352)), reason (0.581581 (negative:-0.490417)), shape (0.579168 (negative:-0.490417)), Reality (0.578435 (negative:-0.567938)), circles (0.577363 (negative:-0.422196)), complexity (0.576931 (positive:0.576187)), cloud (0.576676 (negative:-0.490417)), bark (0.575206 (negative:-0.547005)), trees (0.559469 (negative:-0.510964)), mountain (0.552236 (neutral:0.000000)), tree (0.551812 (neutral:0.000000))

Concepts:
Euclidean geometry (0.934392): dbpedia | freebase
Vector space (0.855978): dbpedia | freebase | yago
Manifold (0.810397): dbpedia | freebase
Tree (0.776938): dbpedia | freebase | opencyc
Analytic geometry (0.765229): dbpedia | freebase
Projective geometry (0.719809): dbpedia | freebase
Higher education (0.718055): dbpedia | freebase
Line segment (0.679242): dbpedia | freebase | opencyc

 The fractal geometry of nature
Books, Brochures, and Chapters>Book:  Mandelbrot , Benoît B. (1983), The fractal geometry of nature, W. H. Freeman, Retrieved on 2012-06-12
  • Source Material [books.google.com]
  • Folksonomies: mathematics