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Leonardi.DB
a logical geometry project

Visualising the Boolean Algebra $\mathbb{B}_4$ in 3D (2016), p. 291
by Smessaert, Hans; Demey, Lorenz

Caption

The RDH and NTH visualisations of the Boolean algebra $\mathbb{B}_4$.

Logic

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

Geometry

Shape
Tetrahedron (regular)
Colinearity range
0
Coplanarity range
0
Cospatiality range
0
Representation of contradiction
N.A.

Vertex description

Conceptual info
No
Mnemonic support (AEIO, purpurea ...)
No
Form
dots
Label type
symbolic
Symbolic field
bitstrings
Contains partial formulas or symbols
No
Contains protobitstrings
No
Bitstring length
4

Edge description

Contains definitions of relations
No
Form
solid lines
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
Leuven
;
subdiagram

Additional notes

The negation closure of this diagram is a Moretti-Pelissier sigma-4.
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