Pick's theorem

formula that the area of a planar polygon whose vertices all have integer coordinates equals the number of interior integer points plus half the number of boundary integer points minus one
Intangible theorem Q646523
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Pick's theorem

Summary

Pick's theorem is a theorem[1]. It draws 130 Wikipedia views per month (theorem category, ranking #150 of 1,306).[2]

Key Facts

  • Pick's theorem's image is recorded as Pick theorem simple.svg[3].
  • Pick's theorem's instance of is recorded as theorem[4].
  • Georg Alexander Pick is named after Pick's theorem[5].
  • Pick's theorem's part of is recorded as list of theorems[6].
  • Pick's theorem's Commons category is recorded as Pick's theorem[7].
  • Pick's theorem's Freebase ID is recorded as /m/01wg2w[8].
  • Pick's theorem's statement describes is recorded as simple polygon[9].
  • Pick's theorem's defining formula is recorded as A=i+\frac b2-1[10].
  • Pick's theorem's MathWorld ID is recorded as PicksTheorem[11].
  • Pick's theorem's MathWorld ID is recorded as PicksFormula[12].
  • Pick's theorem's maintained by WikiProject is recorded as WikiProject Mathematics[13].
  • Pick's theorem's Microsoft Academic ID is recorded as 27048646[14].
  • Pick's theorem's in defining formula is recorded as A[15].
  • Pick's theorem's Treccani's Enciclopedia della Matematica ID is recorded as teorema-di-pick[16].

Why It Matters

Pick's theorem draws 130 Wikipedia views per month (theorem category, ranking #150 of 1,306).[2] It has Wikipedia articles in 21 language editions, a strong signal of global cultural recognition.[17] It is known by 4 alternative names across languages and contexts.[18]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . Freebase Data Dumps. wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [17] . Wikidata sitelinks. wikidata.org.
  3. [18] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Pick's theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/pick-s-theorem
MLA “Pick's theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/pick-s-theorem.
BibTeX @misc{4ortxyz_pick-s-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Pick's theorem}}, year = {2026}, url = {https://4ort.xyz/entity/pick-s-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Pick's theorem — https://4ort.xyz/entity/pick-s-theorem (retrieved 2026-05-03)

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