Geodesic
Symmetry, Chemistry, and Escher's Tiles
When the first cave-woman pressed an olive or nut, she got an oil that wouldn?t mix with water. Why? One reason is because the molecules? shapes have different symmetries. In brief, an asymmetrical molecule is better able to form a dipole, which permits dipole-dipole intermolecular attractions [1]. So, chemical reality is "somehow" related to mathematical symmetry. This by itself is exciting to those interested in chemistry, but others may need more visual examples. People who may feel intimidated by or bored with mathematical theories of groups will be drawn in to the world of symmetry in architectural tiles and in art using the ideas expressed in the art of M. C. Escher.
Classification : 20H15 00A66 
@article{VM_2001_3_1_a3,
     author = {Bruce D. Martin and Reza Sarhangi},
     title = {Symmetry, {Chemistry,} and {Escher's} {Tiles}},
     journal = {Visual Mathematics},
     publisher = {mathdoc},
     volume = {3},
     number = {1},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VM_2001_3_1_a3/}
}
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Bruce D. Martin; Reza Sarhangi. Symmetry, Chemistry, and Escher's Tiles. Visual Mathematics, Tome 3 (2001) no. 1. http://geodesic.mathdoc.fr/item/VM_2001_3_1_a3/