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Leonardi.DB
a logical geometry project

Duality Patterns in 2-PCD Fragments (2017), p. 255
by Smessaert, Hans; Demey, Lorenz

Caption

Summary of the Duality Patterns.

Logic

Aristotelian family
Sigma-4 Graph
Boolean complexity
4–16
Number of labels per vertex (at most)
1
Uniqueness of the vertices up to logical equivalence
Yes
Errors in the diagram
No

Geometry

Shape
Octagon (regular)
Colinearity range
0
Coplanarity range
0
Cospatiality range
0
Representation of contradiction
By central symmetry

Vertex description

Conceptual info
No
Mnemonic support (AEIO, purpurea ...)
No
Form
dots
Label type
generic placeholders

Edge description

Contains definitions of relations
No
Form
dash-double-dotted lines
,
solid lines
,
dash-dotted lines
,
none
Has arrowheads
No
Overlap
No
Curved
No
Hooked
No
As wide as vertices
No
Contains text
No
Label type
none

Style

Diagram is colored
No
Diagram is embellished
No
Tags
Leuven
;
duality
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