KEPLER’S CONJECTURE. “Yet in the end, Kepler is defeated by the snowflake’s ornate form and plate-like shape. He realizes that although the packing of spheres creates regular patterns, they are not necessarily hexagonal or flat, let alone as ramified and ornamented as that of the snowflake. His failure to explain the regularity of the snowflake is no disgrace, for not until the 1980s was this seen to be a consequence of branching growth instabilities biased by the hexagonal crystal symmetry of ice.”
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