Regular Division of the Plane
E771386
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.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Regular Division of the Plane canonical | 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 NERFINISHED ⓘ |
| 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
NERFINISHED
ⓘ
Regular Division of the Plane II NERFINISHED ⓘ Regular Division of the Plane III NERFINISHED ⓘ Regular Division of the Plane IV NERFINISHED ⓘ Regular Division of the Plane IX NERFINISHED ⓘ Regular Division of the Plane V NERFINISHED ⓘ Regular Division of the Plane VI NERFINISHED ⓘ Regular Division of the Plane VII NERFINISHED ⓘ Regular Division of the Plane VIII NERFINISHED ⓘ Regular Division of the Plane X ⓘ Regular Division of the Plane XI NERFINISHED ⓘ Regular Division of the Plane XII NERFINISHED ⓘ Regular Division of the Plane XIII NERFINISHED ⓘ Regular Division of the Plane XIV NERFINISHED ⓘ Regular Division of the Plane XIX NERFINISHED ⓘ Regular Division of the Plane XL NERFINISHED ⓘ Regular Division of the Plane XV NERFINISHED ⓘ Regular Division of the Plane XVI NERFINISHED ⓘ Regular Division of the Plane XVII NERFINISHED ⓘ Regular Division of the Plane XVIII NERFINISHED ⓘ Regular Division of the Plane XX NERFINISHED ⓘ Regular Division of the Plane XXI NERFINISHED ⓘ Regular Division of the Plane XXII NERFINISHED ⓘ Regular Division of the Plane XXIII NERFINISHED ⓘ Regular Division of the Plane XXIV NERFINISHED ⓘ Regular Division of the Plane XXIX NERFINISHED ⓘ Regular Division of the Plane XXV NERFINISHED ⓘ Regular Division of the Plane XXVI NERFINISHED ⓘ Regular Division of the Plane XXVII NERFINISHED ⓘ Regular Division of the Plane XXVIII NERFINISHED ⓘ Regular Division of the Plane XXX NERFINISHED ⓘ Regular Division of the Plane XXXI NERFINISHED ⓘ Regular Division of the Plane XXXII NERFINISHED ⓘ Regular Division of the Plane XXXIII NERFINISHED ⓘ Regular Division of the Plane XXXIV NERFINISHED ⓘ Regular Division of the Plane XXXIX NERFINISHED ⓘ Regular Division of the Plane XXXV NERFINISHED ⓘ Regular Division of the Plane XXXVI NERFINISHED ⓘ Regular Division of the Plane XXXVII NERFINISHED ⓘ Regular Division of the Plane XXXVIII NERFINISHED ⓘ |
| inspiredBy |
Alhambra tilings
NERFINISHED
ⓘ
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
NERFINISHED
ⓘ
Surrealism ⓘ |
| notableWorkOf | M. C. Escher NERFINISHED ⓘ |
| patternType | periodic tiling ⓘ |
| usesTechnique |
ink drawing
ⓘ
lithograph ⓘ watercolor ⓘ woodcut ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Regular Division of the Plane Description of subject: 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.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.