Frequency class: Difference between revisions

From LifeWiki
Jump to navigation Jump to search
mNo edit summary
→See also: removed see also that is a link in the first sentence
Line 17: Line 17:
==See also==
==See also==
* [[:Category:Patterns_with_specific_Catagolue_frequency_class|List of patterns by frequency class]]
* [[:Category:Patterns_with_specific_Catagolue_frequency_class|List of patterns by frequency class]]
* [[Common]]
* [[List of common still lifes]]
* [[List of common still lifes]]
* [[List of common oscillators]]
* [[List of common oscillators]]

Revision as of 23:59, 24 February 2022

The frequency class of an object is a measure of its commonness. The frequency class of an object O, in a given set of objects, is defined as x iff the most common object in the set, M, is 2x times as common as O. To wit:

Usage on the LifeWiki

Frequency classes given on the LifeWiki are computed relative to the most common object, block, using data from Catagolue's B3/S23/C1 census:

FC(object) = log2(occurrences_of_block/occurrences_of_object)
  • FC is displayed rounded to one decimal place
  • Except for an object with an extremely small number of occurrences, an object's FC is highly likely to be stable over time

For extremely rare objects, there might be enough occurrences for a large enough sample size in G1 but not C1. To calculate the frequency class using G1 data, take the standard formula and add 6.3; the number 6.3 was determined empirically. Make sure that the object being checked is one that is not ignored in G1.

See also