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Leonardi.DB
a logical geometry project

Boolean Differences between Two Hexagonal Extensions of the Logical Square of Oppositions (2012), p. 199
by Smessaert, Hans

Caption

(a) Rhombic Dodecahedron, with (b) Single Hexagon and (c) Double Hexagon

Logic

Aristotelian family
Classical Sigma-7
Boolean complexity
4
Number of labels per vertex (at most)
0
Uniqueness of the vertices up to logical equivalence
Yes
Errors in the diagram
No

Geometry

Shape
Rhombic Dodecahedron (irregular)
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
spherical
Label type
none

Edge description

Contains definitions of relations
No
Form
solid 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
Yes
Diagram is embellished
No
Tags
Boolean closed
;
Leuven
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