0.5555… = 1 (in base 6) @MathVisualProofs

Uploaded August 2024 | Updated September 2026, 2 weeks ago

This is a short, animated visual proof showing the sum of the infinite geometric series with first term 5/6 and ratio 1/6, which in turn allows us to compute the sum of the series of powers of 1/6 and determine an interesting base 6 representation of 1.

If you like this video, consider subscribing to the channel or consider buying me a coffee: buymeacoffee.com/VisualProofs. Thanks!

For a longer, wordless version (more dramatic) of this animation see
youtu.be/o0AyHmRV8RA?si=2fExvp1WqrmZp5SJ

Also, check out my playlist on geometric sums/series: youtube.com/playlist?list=PLZh9gzIvXQUsgw8W5TUVDtF0q4jEJ3iaw

This animation is based on a proof by James Tanton from the March 2008 issue of The College Mathematics Journal page 106. (jstor.org/stable/27646594).

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To learn more about animating with manim, check out:
https://manim.community

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