Regular Division of the Plane

E771386

art series graphic work series

Regular Division of the Plane is a series of graphic works by M. C. Escher exploring intricate, interlocking tessellations that completely cover the plane with repeating figures.

Try in SPARQL Jump to: Surface forms Disambiguation Statements Elicitation Referenced by

All labels observed (40)

Label	Occurrences
Regular Division of the Plane canonical	1
Regular Division of the Plane I	1
Regular Division of the Plane II	1
Regular Division of the Plane III	1
Regular Division of the Plane IV	1
Regular Division of the Plane IX	1
Regular Division of the Plane V	1
Regular Division of the Plane VI	1
Regular Division of the Plane VII	1
Regular Division of the Plane VIII	1
Regular Division of the Plane XI	1
Regular Division of the Plane XII	1
Regular Division of the Plane XIII	1
Regular Division of the Plane XIV	1
Regular Division of the Plane XIX	1
Regular Division of the Plane XL	1
Regular Division of the Plane XV	1
Regular Division of the Plane XVI	1
Regular Division of the Plane XVII	1
Regular Division of the Plane XVIII	1
Regular Division of the Plane XX	1
Regular Division of the Plane XXI	1
Regular Division of the Plane XXII	1
Regular Division of the Plane XXIII	1
Regular Division of the Plane XXIV	1
Regular Division of the Plane XXIX	1
Regular Division of the Plane XXV	1
Regular Division of the Plane XXVI	1
Regular Division of the Plane XXVII	1
Regular Division of the Plane XXVIII	1
Regular Division of the Plane XXX	1
Regular Division of the Plane XXXI	1
Regular Division of the Plane XXXII	1
Regular Division of the Plane XXXIII	1
Regular Division of the Plane XXXIV	1
Regular Division of the Plane XXXIX	1
Regular Division of the Plane XXXV	1
Regular Division of the Plane XXXVI	1
Regular Division of the Plane XXXVII	1
Regular Division of the Plane XXXVIII	1

How this entity was disambiguated

This entity first appeared as the object of triple T8998101 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.

NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07

Target entity: Regular Division of the Plane
Context triple: [M. C. Escher, notableWork, Regular Division of the Plane]

A. On Divisions of Figures
On Divisions of Figures is an ancient mathematical treatise attributed to Euclid that systematically studies how geometric figures can be divided into parts with specified ratios or properties.
B. Sylvester–Gallai theorem
The Sylvester–Gallai theorem is a result in incidence geometry stating that for any finite set of points in the Euclidean plane not all on a single line, there exists a line that passes through exactly two of the points.
C. On the Art of Measurement with the Compass and Ruler
"On the Art of Measurement with the Compass and Ruler" is a foundational Renaissance treatise by Albrecht Dürer that systematizes the use of geometry and proportion in artistic design and representation.
D. Checkerboard Division
The Checkerboard Division is the nickname of the U.S. Army’s 99th Infantry Division, a World War II unit noted for its distinctive shoulder patch and its role in the Battle of the Bulge.
E. Penrose tilings
Penrose tilings are non-periodic tilings of the plane that use a small set of shapes to create patterns with fivefold symmetry and no translational repetition, widely studied in mathematics and physics.
F. None of above. chosen
G. Unsure - the case is ambiguous/there is not enough information to decide.

NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07

Target entity: Regular Division of the Plane
Target entity description: Regular Division of the Plane is a series of graphic works by M. C. Escher exploring intricate, interlocking tessellations that completely cover the plane with repeating figures.

A. On Divisions of Figures
On Divisions of Figures is an ancient mathematical treatise attributed to Euclid that systematically studies how geometric figures can be divided into parts with specified ratios or properties.
B. Sylvester–Gallai theorem
The Sylvester–Gallai theorem is a result in incidence geometry stating that for any finite set of points in the Euclidean plane not all on a single line, there exists a line that passes through exactly two of the points.
C. On the Art of Measurement with the Compass and Ruler
"On the Art of Measurement with the Compass and Ruler" is a foundational Renaissance treatise by Albrecht Dürer that systematizes the use of geometry and proportion in artistic design and representation.
D. Checkerboard Division
The Checkerboard Division is the nickname of the U.S. Army’s 99th Infantry Division, a World War II unit noted for its distinctive shoulder patch and its role in the Battle of the Bulge.
E. Penrose tilings
Penrose tilings are non-periodic tilings of the plane that use a small set of shapes to create patterns with fivefold symmetry and no translational repetition, widely studied in mathematics and physics.
F. None of above. chosen

Statements (77)

Predicate	Object
instanceOf	art series ⓘ graphic work series ⓘ
countryOfOrigin	Netherlands ⓘ
covers	Euclidean plane ⓘ
creator	M. C. Escher ⓘ
depicts	birds ⓘ fish ⓘ human figures ⓘ mythical creatures ⓘ reptiles ⓘ
genre	mathematical art ⓘ tessellation art ⓘ
hasInfluenced	architecture ⓘ graphic design ⓘ mathematics education ⓘ textile design ⓘ
hasPart	Regular Division of the Plane I ⓘ linked to: Regular Division of the Plane Regular Division of the Plane II ⓘ linked to: Regular Division of the Plane Regular Division of the Plane III ⓘ linked to: Regular Division of the Plane Regular Division of the Plane IV ⓘ linked to: Regular Division of the Plane Regular Division of the Plane IX ⓘ linked to: Regular Division of the Plane Regular Division of the Plane V ⓘ linked to: Regular Division of the Plane Regular Division of the Plane VI ⓘ linked to: Regular Division of the Plane Regular Division of the Plane VII ⓘ linked to: Regular Division of the Plane Regular Division of the Plane VIII ⓘ linked to: Regular Division of the Plane Regular Division of the Plane X ⓘ Regular Division of the Plane XI ⓘ linked to: Regular Division of the Plane Regular Division of the Plane XII ⓘ linked to: Regular Division of the Plane Regular Division of the Plane XIII ⓘ linked to: Regular Division of the Plane Regular Division of the Plane XIV ⓘ linked to: Regular Division of the Plane Regular Division of the Plane XIX ⓘ linked to: Regular Division of the Plane Regular Division of the Plane XL ⓘ linked to: Regular Division of the Plane Regular Division of the Plane XV ⓘ linked to: Regular Division of the Plane Regular Division of the Plane XVI ⓘ linked to: Regular Division of the Plane Regular Division of the Plane XVII ⓘ linked to: Regular Division of the Plane Regular Division of the Plane XVIII ⓘ linked to: Regular Division of the Plane Regular Division of the Plane XX ⓘ linked to: Regular Division of the Plane Regular Division of the Plane XXI ⓘ linked to: Regular Division of the Plane Regular Division of the Plane XXII ⓘ linked to: Regular Division of the Plane Regular Division of the Plane XXIII ⓘ linked to: Regular Division of the Plane Regular Division of the Plane XXIV ⓘ linked to: Regular Division of the Plane Regular Division of the Plane XXIX ⓘ linked to: Regular Division of the Plane Regular Division of the Plane XXV ⓘ linked to: Regular Division of the Plane Regular Division of the Plane XXVI ⓘ linked to: Regular Division of the Plane Regular Division of the Plane XXVII ⓘ linked to: Regular Division of the Plane Regular Division of the Plane XXVIII ⓘ linked to: Regular Division of the Plane Regular Division of the Plane XXX ⓘ linked to: Regular Division of the Plane Regular Division of the Plane XXXI ⓘ linked to: Regular Division of the Plane Regular Division of the Plane XXXII ⓘ linked to: Regular Division of the Plane Regular Division of the Plane XXXIII ⓘ linked to: Regular Division of the Plane Regular Division of the Plane XXXIV ⓘ linked to: Regular Division of the Plane Regular Division of the Plane XXXIX ⓘ linked to: Regular Division of the Plane Regular Division of the Plane XXXV ⓘ linked to: Regular Division of the Plane Regular Division of the Plane XXXVI ⓘ linked to: Regular Division of the Plane Regular Division of the Plane XXXVII ⓘ linked to: Regular Division of the Plane Regular Division of the Plane XXXVIII ⓘ linked to: Regular Division of the Plane
inspiredBy	Alhambra tilings ⓘ Islamic geometric patterns ⓘ
mainSubject	interlocking figures ⓘ periodic patterns ⓘ symmetry ⓘ tessellation ⓘ tiling of the plane ⓘ
mathematicalConceptUsed	glide reflection symmetry ⓘ reflection symmetry ⓘ rotation symmetry ⓘ symmetry groups ⓘ translation symmetry ⓘ wallpaper groups ⓘ
movement	Op art ⓘ Surrealism ⓘ
notableWorkOf	M. C. Escher ⓘ
patternType	periodic tiling ⓘ
usesTechnique	ink drawing ⓘ lithograph ⓘ watercolor ⓘ woodcut ⓘ

How these facts were elicited