Topological Typology
Topological Typology
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Topological Typology of Non-Maze Labyrinths
Topological Typology of Non-Maze Labyrinths
Topological typology studies and classifies non-maze labyrinths by their invariant path topology, distinguishing structural patterns of movement from variable expressive features including shape, style, size, and materials.
Patterns of Axial and Orbital Movement
Patterns of Axial and Orbital Movement
A labyrinth has a specific pattern of axial and orbital movement. Axial movement is inward toward the center or outward toward the exterior. Orbital movement is prograde when it follows the path’s initial orbital direction and retrograde when it opposes that direction.
Through level-preserving deformation, the same pattern can be represented in different forms while preserving circuit levels and path connections. The two arrangements of the axis configuration cards demonstrate this relationship between a labyrinth and its thread diagram.
Pattern Analysis and Classification
Pattern Analysis and Classification
A labyrinth’s pattern can be analyzed through characteristics such as circuits, axes, segments, transitions, and movement sequences. These provide a basis for identifying, comparing, and classifying topological types across different expressions.
Level sequence: 0 | 3 2 1 (4)
Axial movement: +3 −1 −1 +3
Orbital movement: p r p
Segment sequence: [1 1 1]
Axis configuration: n(s) : n(s)
Monocentric > Uniaxial > Simple > Simple Transit > Simple Alternating Transit > 3-circuit SAT > 3-circuit SAT Group 1 of 1 (BDTC) > Meander 3 (BD)
Abstraction and Component Identification
Abstraction and Component Identification
Script form minimizes styling, making a labyrinth’s invariant topology easier to see. The Reims and Chartres examples move from stylized expressions to abstracted script forms, removing axial deflections such as bastions and decorative embellishments such as lunations and labryses. Corresponding color-coded thread diagrams highlight axis configurations and subpatterns.
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