Facets & Logic

On the Subject of Facets & Logic

Liberal status: Destroyed

On the module is a floating polyhedron with a button on each face.
Each button is labelled with the non-overlapping parts of two overlaid symbols denoting different truth values.
- The primary value depends on the properties of the polyhedron.
  Primary properties are sorted into four groups.
  Inversions of symbols denote negations of the primary value.
- The secondary value depends on the primary values of the buttons on adjacent faces.
Press all buttons whose secondary values are true.
If there are no such buttons, press all buttons whose primary values are true instead.
Select the ring from a particular direction to roll the polyhedron in that direction.

On Face
The shape of the face on which the button is located is...
	triangular
	quadrilateral
	pentagonal

Adjacent to Face
The face on which the button is located is adjacent to at least..
	one triangle
	one quadrilateral
	one pentagon
	two distinct polygons

Global
The whole polyhedron...
	has fewer than 25 faces
	has fewer than 25 vertices
	has more faces than vertices
	has identical faces
	contains all serial number letters in its name
	contains all present indicator label letters in its name

Adjacent to Group
Of the buttons on adjacent faces, at least...
	one belongs to the On Face group
	one belongs to the Adjacent to Face group
	one belongs to the Adjacent to Group group
	one belongs to the Global group
	three belong to distinct groups

Secondary
Of the primary values of the buttons on adjacent faces,..

an odd number are true	an even number are true	an odd number are false	an even number are false	there are more true than false	there are more false than true	there are exactly three of either value


Deltoidal Icositetrahedron	Icosidodecahedron	Triakis Octahedron

Triaugmented Dodecahedron	Rhombic Triacontahedron	Snub Square Antiprism

Tetrakis Hexahedron	Disphenocingulum	Pentagonal Icositetrahedron

Rhombicuboctahedron	Gyroelongated Triangular Bicupola	Truncated Icosahedron