From the Square to Octahedra (2017), p. 265
by García-Cruz, José David
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Caption
- 2PH
- Aristotelian family
- Moretti-Pellissier Sigma-4
- 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
- Shape
- Hexagonal Bipyramid (irregular)
- Colinearity range
- 0
- Coplanarity range
- 0
- Cospatiality range
- 0
- Representation of contradiction
- By central symmetry
Logic
Geometry
- Conceptual info
- No
- Mnemonic support (AEIO, purpurea ...)
- No
- Form
- none
- Label type
- symbolic
- Symbolic field
- logic
- Contains partial formulas or symbols
- No
- Logical system
- propositional logic
- Contains definitions of relations
- No
- Form
- solid lines
- Has arrowheads
- Yes
- Overlap
- No
- Curved
- No
- Hooked
- No
- As wide as vertices
- No
- Contains text
- No
- Label type
- none
Vertex description
Edge description
- Diagram is colored
- Yes
- Diagram is embellished
- No
Style
Additional notes
- $Kpq = p \wedge q$
$Lpq = p\wedge \neg q$
$Mpq = \neg p \wedge q$
$Xpq = \neg p \wedge \neg q$
$Vpq = p \vee q$
$Bpq = q \to p$
$Cpq = p\to q$
$Dpq = \neg(p \wedge q)$
(Cf. p. 254.)