palindrome
Let an agent recognise and test palindromes in text, numbers and sequences, explain the conventions used in each field, distinguish palindromes from related patterns such as repdigits and mirror symmetry, and relay examples and results.
Bundle → Layer → Finding → Questions Filled
4 bundles · 8 layers · 8 findings · 16 questions
Define What a palindrome is.
Definition
Definition and conventions.
Definition
Definition.
- What makes a sequence a palindrome, and what conventions apply in text, numbers and biology? definition
- Is the question about textual, numerical or biological palindromes? boundary
Examples
Examples.
Examples
Examples.
- What are standard examples in each kind? provenance
- Which entry fits palindromic numbers? action
Test Testing and generating.
Algorithm
Testing.
Algorithm
Algorithm.
- How is a string or number tested for being a palindrome, and with what normalisation? action
- What is the result for the input in question? measurement
Generate
Generating and searching.
Generate
Generate.
- How are palindromes generated or searched in text and number ranges? action
- Which entry fits string algorithms? action
Fields Palindromes across fields.
Mathematics
Numbers.
Mathematics
Mathematics.
- What is known about palindromic numbers and related problems such as the 196 problem? provenance
- Which references are standard? provenance
Biology
DNA palindromes.
Biology
Biology.
- What are palindromic sequences in DNA, and why do they matter for restriction enzymes? provenance
- Which entry fits restriction sites? action
Culture Wordplay and history.
Wordplay
Literary palindromes.
Wordplay
Wordplay.
- What famous palindromes exist in various languages, and how are they composed? provenance
- Which entry fits constrained writing? action
History
History.
History
History.
- What is the history of palindromes from antiquity, such as the Sator square? provenance
- Which misconceptions arise? provenance
Classifiers Filled
- Family
- Thing Registry
- Category
- Cross-cutting context
- Entry kind
- thing
- Plane
- XCT
- Domain
- XCT.QLT
- Other names and narrower kinds
- palindromic sequence, palindromic acronym, Mersenne number, repdigit, palindromic number, Cantor number, Mersenne number with prime index, repunit, Brazilian number, semordnilap, Sator Square, phonetic palindrome
What it is Filled
A word, phrase, number or other sequence that reads the same backwards as forwards, such as level, 12321 or a DNA sequence whose complementary strand reads the same in reverse; palindromes appear in wordplay, mathematics, computing and molecular biology, with conventions about ignoring spaces, punctuation and case in text.
Why it exists Filled
Let an agent recognise and test palindromes in text, numbers and sequences, explain the conventions used in each field, distinguish palindromes from related patterns such as repdigits and mirror symmetry, and relay examples and results.
Distinguishing features Filled
- Reversal symmetry of a sequence
- Field-specific conventions
- Occurs in language, numbers, code and DNA
- Simple to test algorithmically
What robots and AI may and may not do Filled
Must not
- Treat a palindromic DNA sequence as the same as a word palindrome in analysis.
- Claim a phrase is a palindrome when spacing or punctuation rules have been changed without saying so.
- Present invented palindromes as historical or attributed to people who did not write them.
Only with a human decision
- Publishing a claim of a new record palindrome.
May
- Detect, generate and explain palindromes in words, numbers and sequences.
- Explain palindromic sequences in DNA in general terms.
Moral aspects Filled
- Wordplay is cultural and creative work that deserves credit.
- Confused terms in genetics mislead learners.
Who is affected
- Writers and puzzle makers
- Students
Owners Filled
Steward
Nobody owns the concept; authors own their published wordplay.
Links to other meta-models Filled
parent
- Q30344217 - registry parent class
- Q600590 - registry parent class
- Q8171 - registry parent class
related
- mirror symmetric object - symmetry under reversal
- repdigit - a number with repeated digits, a special case
- wordplay - a literary game
- palindromic sequence - the biological sense
What else AI and robots need to interact with it Filled
Identity and identifiers required Filled
- Vercy registry: vr.tr.palindrome
- Wikidata: Q12321 (https://www.wikidata.org/wiki/Q12321)
- OEIS: A002113 palindromic numbers in base ten
Direct properties not applicable Not applicable
Not applicable
Plane XCT: no invented physical properties.
Recognition optional Filled
- Reads the same in both directions
- Text conventions ignore spaces, punctuation and case
- Repdigits and mirror-symmetric shapes are related but distinct
- Not visible in itself; a sequence symmetric about its centre.
Capabilities and actions required Filled
- test whether a string or number is a palindrome
- explain conventions for text, numbers and biology
- generate or find examples
- distinguish related patterns
Hazards and failure modes required Filled
- Inconsistent conventions on spaces and case
- Confusing the biological sense with the textual one
- Mistaking mirror symmetry of shapes for palindromes
Standards and interfaces required Filled
- No regulation; conventions follow each field
Context of use required Filled
- Not for anything; a pattern of symmetry in sequences.
- word and sentence palindromes
- palindromic numbers
- palindromic sequences in DNA and RNA
- palindromic dates and times
- palindromic music and structures
- near-palindromes and semordnilaps
Sources Filled
- Wikidata item Q12321: palindrome - identity and sense of the item
- Wikipedia: Palindrome - general description of the item
Open questions
- Should palindromic numbers and DNA palindromes be separate entries?
- How should OEIS entries be linked?
- The registry entry has merged aliases for Mersenne and Cantor numbers, which are unrelated; should they be removed?
Machine files
Provenance
thing registry research (pass 2) · unreviewed
Built from: models/things/publications/thing-q12321/spec.json