Digits Quote by Matt Parker
““In our current number system, if you multiply 111,111,111 by itself, you get the rather pleasing 12,345,678,987,654,321 (all the digits count up from 1 to 9 and then back down again). It works for small runs of 1s as well: 11,111 × 11,111 = 123,454,321; and 111 × 111 = 12,321. Try writing down numbers in a different way, though, and the pattern evaporates.””
About This Quote
Source Talk: YouTube video “The 111111111 Square”, 2021
A numeric curiosity shows a symmetric digit pattern when squaring repunits, but the pattern disappears with other number representations.
In simple terms: Squaring repeating 1s creates a neat digit hill; other forms don’t.
Key Takeaway
Notice patterns, but test them across bases.
Themes
mathematics
curiosity
patterns
number theory
Mood
playful
intrigued
educational
Type
anecdotal
informative
When to use this quote
- teaching math
- puzzle solving
- educational videos
- public talks
Key Concepts
repunits
palindromic numbers
digit symmetry
Questions to Reflect On
- What other base‑10 quirks hide similar patterns?
- How does base choice affect numeric visualities?
A Different Perspective
Pattern relies on base‑10; different bases break it.
