Portraits of Wildflowers

Perspectives on Nature Photography

Archive for January 28th, 2018

Sunday sunset 4

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On each of the four Sundays in January you’ve seen sunset pictures from the state whose license plates proclaim it the Land of Enchantment. Now that today’s post concludes the series, you’re welcome to look back at the other photographs that have appeared here from June 10, 2017, at Camel Rock, 11 miles north of downtown Santa Fe.

Because the first Sunday sunset picture this month appeared on January 7, and because there are 7 days in a week, all of the January pictures in this sequence came on dates divisible by 7:  7, 14, 21, 28. Speaking of divisibility, if you divide 1 by 7, and then 2 by 7, etc., to convert the fractions to decimals, you’ll find that the sevenths give the following infinitely repeating six-digit cycles:

Do you see the cyclical nature of those decimal expansions, with each one consisting of the same digits in the same order, only starting at a different place in the cycle?

But wait! The columns want some attention, too. Notice that reading down the first column of decimal digits is the same as reading up the fourth column? Likewise for the second and fifth columns, and also for the third and sixth columns.

There’s more that could be said, but for now I’ll let the sun set on these mathematical pleasures and not take you further into seventh heaven.

© 2018 Steven Schwartzman

Written by Steve Schwartzman

January 28, 2018 at 4:58 AM

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