Perfect palinception
A palindromic sat number made of a shorter palindrome, with at least two distinct digits, repeated two or more times, such as 101,101 or 12,211,221.
How a sat qualifies
A perfect palinception is a palindrome made of palindromes. The rule (isPerfectPalinception in the site's rules) takes the sat's decimal digits and looks for a group of them, a unit, that, repeated, makes up the whole number:
- the unit's length divides the number's length, and the unit is repeated at least twice;
- the unit is itself a palindrome;
- the unit has at least two distinct digits.
Any such number is a palindrome as a whole. Examples: 101,101 is 101 twice; 12,211,221 is 1,221 twice; 121,121,121 is 121 three times.
What does not qualify
- The unit needs two distinct digits, and every two-digit palindrome (11, 22, …) has one, so the unit is at least three digits long. The shortest perfect palinception has six digits, and the smallest is sat 101,101.
- Repeating a single digit does not count: 111,111 is a 1D palindrome, never a palinception.
- 1,212,121 is a palindrome but not a palinception: seven digits can only split into one-digit units.
- The unit must be a palindrome: 123,123 repeats 123, but neither it nor the whole number reads the same reversed.
Overlaps
The palindrome types are assigned independently. A palinception with two distinct digits, such as 101,101, is also a 2D palindrome and counts in both categories; one with three, such as 123,321,123,321, is also a 3D palindrome. Units of up to eight digits fit in a sat number, so a palinception has at most four distinct digits.
How many
Will ever exist: 13,168. Mined so far: 13,079. Addresses holding one: 9,844. Extracted, held alone in small outputs: 569.
Supply and market
| Category | Will exist | Mined | Extracted | Last sale | Floor |
|---|---|---|---|---|---|
| Perfect palinception | 13,168 | 13,079 | 569 | 720,000 sats | 489,670 sats |
As of block 972,427. Prices are per sat.