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File:Collatz conjecture sequence for 27 with decreasing binary trailing bits.png

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Summary

Description
English: This graph shows a Collatz sequence ‘nibbling’ on trailing binary ones and zeroes, the bits in the x-axis labels after the space.
  1. Even numbers have some dark grey, at least one trailing zero. A division by two decreases dark grey. Division ends at an odd number.
  2. For odd numbers (*3+1)/2 decreases dark blue, the number of trailing ones.

Each set of computations ends with just 1 trailing one. The next set starts with an even number.

The light colours denote the number of non trailing digits, before the space in the x-axis labels. These are ‘hailstone’ digits impacted by (*3+1)/2.

The sequence ends with decreasing powers of two, with just one dark blue bit, no light colours.
Date
Source Own work
Author Uwappa
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Captions

A Collatz sequence ‘nibbling’ on trailing binary ones and zeroes.

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depicts

14 July 2024

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File history

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Date/TimeThumbnailDimensionsUserComment
current08:24, 21 July 2024Thumbnail for version as of 08:24, 21 July 20241,401 × 423 (212 KB)Uwappafix legend for trailing ones and zeroes
07:11, 21 July 2024Thumbnail for version as of 07:11, 21 July 20241,401 × 423 (212 KB)Uwappatrailing ones adjacent to other ones
09:25, 17 July 2024Thumbnail for version as of 09:25, 17 July 2024595 × 1,608 (108 KB)Uwappa488 corrected
18:00, 16 July 2024Thumbnail for version as of 18:00, 16 July 2024595 × 1,608 (108 KB)Uwappaswapped trailing ones and zeroes in graph
14:33, 16 July 2024Thumbnail for version as of 14:33, 16 July 2024613 × 1,586 (113 KB)Uwappasplit other from traling, rotated graph
11:35, 16 July 2024Thumbnail for version as of 11:35, 16 July 20241,744 × 466 (60 KB)Uwapparemoved prefix dots in decimals
11:32, 16 July 2024Thumbnail for version as of 11:32, 16 July 20241,744 × 466 (60 KB)Uwapparight aliged decimal numbers, space aligned binary numbers
11:30, 16 July 2024Thumbnail for version as of 11:30, 16 July 20241,744 × 485 (60 KB)UwappaReverted to version as of 13:58, 15 July 2024 (UTC)
11:29, 16 July 2024Thumbnail for version as of 11:29, 16 July 20241,920 × 1,080 (132 KB)Uwapparight aliged decimal numbers, space aligned binary numbers
13:58, 15 July 2024Thumbnail for version as of 13:58, 15 July 20241,744 × 485 (60 KB)Uwappacorrected space in binary form for 91
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