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单词 snowflake curve
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snowflake curve
snowflake curve n. Mathematics a mathematically conceived curve (see quot. 1975) whose sixfold symmetry is reminiscent of that of a snowflake, of interest because its infinite length bounds a finite area.
ΘΚΠ
the world > relative properties > number > geometry > curve > [noun] > having specific shape
trident1710
cardioid1747
J-curve1916
snowflake curve1956
1956 W. G. Walter Further Outlook iii. iv. 100 Jim Bursley had explained the snowflake curve to me and we had discussed the projection of such a curve into three dimensions.
1975 Sci. Amer. Nov. 144/2 Take the analyst's ‘snowflake’ curve.., which is made in an elementary way from an equilateral triangle of unit side by replacing the middle third of each side with a ‘cape’, itself the two jutting equal sides of a triangle a third as large as the original, and so on, repeating indefinitely.
1978 Sci. Amer. Apr. 21/2 Among the fractals that exhibit strong regularity the best-known are the Peano curves that completely fill the finite region and the beautiful snowflake curve discovered by the Swedish mathematician Helge von Koch in 1904.
extracted from snowflaken.
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