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the claim
There are exactly five types of two-dimensional crystal lattices
the verdict
SUPPORTED
the evidence backs this
refutedsupported
the weight of evidence
2 sources for · 0 against
AS REPORTEDno primary record reached; this is what the reporting says

Multiple physics and crystallography references confirm that there are exactly five types of Bravais lattices in two dimensions.

Evidence for · 2
Wikipedia: Brillouin zone
cited by 0
Reference article covering this claim directly
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How claims like this are judged

Judged against reference works: claims of this kind are settled by reference works, not journal abstracts.

More for · 1
Book: X-Ray Crystallography
2015 · cited by 0
States that there are five types of lattices in two dimensions.
Everything we examined (33) — 24 independent sources
This check searched the claim as stated. It did not run a separate search for evidence against it.
  1. Wikipedia: Phases of icereferencesame source L1no side takennot shown: read and judged not to bear on this claim
  2. Wikipedia: Brillouin zonereferencesame source L1supports
  3. Book: X-Ray Crystallographyreferencesupports
  4. Book: Physics of Matterreferencesame source L3supports
  5. Book: Graphenereferencesupportsnot shown: beyond the two books we show per side
  6. Book: Professor Stewart's Incredible Numbersreferenceno side takennot shown: read and judged not to bear on this claim
  7. Book: An Introduction to Mineral Sciencesreferencesupportsnot shown: beyond the two books we show per side
  8. Book: Introduction to Solid State Physicsreferencesame source L3supportsnot shown: a book whose author and subject did not establish authority here
  9. Book: Manual of Mineralogy (after James D. Dana)referencesame source L3no side takennot shown: read and judged not to bear on this claim
  10. Saunders College Pub.: Chemistry, principles & practicereferenceno side takennot shown: read and judged not to bear on this claim
  11. Wikisource: Cold Nuclear Fusion: A Hypothesisreferencesame source L8no side takennot shown: read and judged not to bear on this claim
  12. Wikisource: 1911 Encyclopædia Britannica/Chemistryreferencesame source L8no side takennot shown: read and judged not to bear on this claim
  13. Wikisource: The Crystal Palacereferencesame source L8no side takennot shown: read and judged not to bear on this claim
  14. OpenAIRE: There are Exactly 222 L-types of Primitive Five-dimensional Latticespeer-reviewedno side takennot shown: read and judged not to bear on this claim
  15. OpenAIRE: Artin-Schelter regular algebras of dimension fivepeer-reviewedno side takennot shown: read and judged not to bear on this claim
  16. OpenAIRE: A complete classification of bifurcation diagrams for a class of (p,q)-Laplace equationspeer-reviewedno side takennot shown: read and judged not to bear on this claim
  17. OpenAIRE: The closed orbits of a class of cubic vector fields in \(\mathbb{R}^3\)peer-reviewedno side takennot shown: read and judged not to bear on this claim
  18. OpenAIRE: Performance of multi-dimensional space-filling curvespeer-reviewedno side takennot shown: read and judged not to bear on this claim
  19. OpenAIRE: Analysis of Multi-Dimensional Space-Filling Curvespeer-reviewedno side takennot shown: read and judged not to bear on this claim
  20. Science: Beyond-classical computation in quantum simulationpeer-reviewedno side takennot shown: read and judged not to bear on this claim
  21. J.Appl.Phys.: Axion Electrodynamics in Topological Materialspeer-reviewedno side takennot shown: read and judged not to bear on this claim
  22. Phys.Lett.B: Oscillating universe with quintom matterpeer-reviewedno side takennot shown: read and judged not to bear on this claim
  23. INSPIRE-HEP: Gravitational Lensing from a Spacetime Perspectivepeer-reviewedno side takennot shown: read and judged not to bear on this claim
  24. SciPost Phys.Lect.Notes: Aspects of 4d supersymmetric dynamics and geometrypeer-reviewedno side takennot shown: read and judged not to bear on this claim
  25. NASA Technical Reports Server: An experimental and theoretical evaluation of increased thermal diffusivity phase change devicesprimary-datasame source L20no side takennot shown: read and judged not to bear on this claim
  26. NASA Technical Reports Server: Second International Workshop on Harmonic Oscillatorsprimary-datasame source L20no side takennot shown: read and judged not to bear on this claim
  27. NASA Technical Reports Server: Multiresolution and Explicit Methods for Vector Field Analysis and Visualizationprimary-datasame source L20no side takennot shown: read and judged not to bear on this claim
  28. NASA Technical Reports Server: A two-dimensional Euler solution for an unbladed jet engine configurationprimary-datasame source L20no side takennot shown: read and judged not to bear on this claim
  29. NASA Technical Reports Server: The HI Environment of Nearby Lyman-alpha Absorbersprimary-datasame source L20no side takennot shown: read and judged not to bear on this claim
  30. Physical Review. B: Site-decorated model for unconventional frustrated magnets: Ultranarrow phase crossover and two-dimensional spin reversal transitionpeer-reviewedno side takennot shown: read and judged not to bear on this claim
  31. Physical Review. B: Diagonal isometric form for tensor network states in two dimensionspeer-reviewedno side takennot shown: read and judged not to bear on this claim
  32. OSTI: Multimodal Instrument Concepts for Chemical Sciences at Second Target Stationpeer-reviewedno side takennot shown: read and judged not to bear on this claim
  33. No journal information: Agentic Diagrammatica: Towards Autonomous Symbolic Computation in High Energy Physicsprimary-datano side takennot shown: read and judged not to bear on this claim
The paper trail · every fact has a biography
first checked06 Aug 2026
judged → SUPPORTED · 7506 Aug 2026
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