# Logical Extensions of Aristotle's Square (2008), p. 180

by Luzeaux, Dominique; Sallantin, Jean; Dartnell, Christopher

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### Caption

- The tetraicosahedron corresponding to the A’s and C’s of a modal 4(3)-graph.

- Aristotelian family
- Classical Sigma-7
- Boolean complexity
- 4
- Number of labels per vertex (at most)
- 1
- Errors in the diagram
- No
- Shape
- Tetraicosahedron (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

### Vertex description

### Edge description

- Diagram is colored
- No
- Diagram is embellished
- No
- Tags
- Boolean closed

### Style

### Additional notes

- The four level-1 formulas (i.e., members of the induced partition) are: $A^1$, $A^2$, $A^3$, $\neg A^1 \wedge \neg A^2 \wedge \neg A^3$.