III
VIII XXIX XLIV N XLVII
XXV LIII VII XXIV LVII
XXXVI XVII XLIII IV XXIX
VII X III XLI XVII
LII XXXVI XII XIV XXXVI
XLIV LI L XV XXXIII
VII XXIII LIX IX XIII
XLVIII XXII XII XXI XLV
XXII LVI XLVII XXXIX XLIV
XXVIII XXXVII LVIII XXIII XXI
XI LVI XXXIII XXII XL
XLII XXXI VI VI IV
Sixty "digits" of pi, in base sixty (sexagesimal), in Roman numerals, as a tribute to Archimedes and other ancient mathematicians. Note that "N" stands for nihil or nullus, or zero.
In modern notation pi =
3 units 8 minutes 29 seconds + 44/216000 + 0/60^4 + 47/60^5
+ 25/60^6 + 53/60^7 + 7/60^8 + 24/60^9 + 57/60^10 + ...
I have a hundred million sexagesimal digits lying around if anyone wants it.
Tuesday, June 29, 2004
Pi in sexagesimal
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3 comments :
If it is still available, I know of a wonderful community over at reddit.com/r/math or r/trees that would want access if they knew this existed. I will inform the masses, Ken.
Base-60 (Babylonian or sexagesimal) expansion of Pi: http://oeis.org/A060707
3;
8, 29, 44, 0, 47, 25, 53, 7, 24, 57, 36, 17, 43, 4, 29, 7, 10, 3, 41, 17, 52, 36, 12, 14, 36, 44, 51, 50, 15, 33, 7, 23, 59, 9, 13, 48, 22, 12, 21, 45, 22, 56, 47, 39, 44, 28, 37, 58, 23, 21, 11, 56, 33, 22, 40, 42, 31, 6, 6, 3, 46, 16, 52, 2, 48, 33, 24, 38, 33, 22, 1, 0, 1...
Very nice!
pi = 3.8Ti0lPr7OvaHh4T7A3fHqaCEaipoFX7Nx9DmMCLjMuldiSbwNLBuXMegV663kGq2mXOcXM101...
when using A...Z as digits 10...35, a...x as digits 36...59 and 0...9 as
themselves. Converted from sequence in http://oeis.org/A060707.
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