Pattern Analysis
Pattern Analysis
Embedded Files
Examples Used on This Page
Examples Used on This Page
Classical labyrinth (7-circuit McM)
Classical labyrinth (7-circuit McM)
Classical thread with main axis configuration (and cross seed style walls shown in the middle)
Classical thread diagram showing the pattern of movement and components
Chartres labyrinth
Chartres labyrinth
Chartres thread with main axis configuration and sector crossings (and Chartres style walls shown in the middle)
Chartres thread diagram showing the pattern of movement and components
Type: Name and Code (work in progress)
Type: Name and Code (work in progress)
I am experimenting with naming conventions, incorporating relevant series, and developing a labyrinth type code which provides a quick snapshot of various aspects of the pattern. Terms that are used in multiple ways, such as Classical, and names that have been used for more than one type can cause confusion. For example, Heart of Chartres has been used to refer to at least three different labyrinth patterns. Using the circuit or level sequence helps to pinpoint a specific pattern, but name adjustments and a code may also be useful.
Classical 7 McM: 1.7 (3o.5) 1.7.4.4 SATBsd [3]
Classical 7 McM: 1.7 (3o.5) 1.7.4.4 SATBsd [3]
7-circuit Classical with equal layered meanders
1-axis 7-circuit labyrinth
Entrance to third circuit and then outward, center from fifth circuit
One opening, seven segments, four 180° turns, four multi-level changes
Self-dual, 3-band, simple, alternating, transit labyrinth
You may also see:
1.7 (3o.5) or 1.7 (3o.5) 3n.5n which includes the main axis configuration
OM 7.16 or OM 7.16 (3.2 + 1.1 + 3.2) which indicates the corresponding open meander (7.16) and, since it is a banded labyrinth, the smaller component open meanders (3.2 and 1.1)
Chartres: 4.11 (5i.7) 1.31.28.4 CFTUsd [1]
Chartres: 4.11 (5i.7) 1.31.28.4 CFTUsd [1]
4-axis 11-circuit labyrinth
Entrance to fifth circuit then inward, center from seventh circuit
One opening, 31 segments, 28 180° turns, four multi-level changes
Self-dual, unique (1-band), complex, fluctuating, transit labyrinth
Bands
Bands
Thread diagrams that can be sliced horizontally into viable stand-alone components are banded (e.g., Classical). These labyrinths are built in layers that are traversed completely before moving on to another layer. Labyrinths that have a single band are unique (e.g., Chartres).
Circuit and Level Sequence
Circuit and Level Sequence
Circuits numbered from the outside in
Levels numbered from the outside in
Circuits numbered from the inside out
Walls numbered from the inside out
Numbering can be done in different ways depending on the context. Outside-in numbering is used on this website. A single approach can also be expressed in multiple ways depending on the analysis context (e.g., 3-2-1 or 321 or 0|321|4).
Outside-in numbering:
Typically used for pattern analysis
Relates to the dynamic transformation of the path thread to or from its underlying mathematical topology
Begins where the walker begins
Inside-out numbering:
Sometimes used in design and construction contexts
Relates to static expressions of a type and design/construction
Begins where the builder begins
Classical
Classical
Circuit sequence: 3 2 1 4 7 6 5
Level sequence: 0|3214765|8
Chartres
Chartres
Circuit sequence string: 5 6 11 11 10 10 9 8 7 7 8 9 9 10 11 11 10 9 8 8 7 6 6 5 4 4 3 2 1 1 2 3 3 4 5 5 4 3 2 2 1 1 6 7
Circuit sequence with sectors and grouped by components: [(5A, 6A), (11AB, 10BA), (9A, 8A), (7AB, 8B, 9BC, 10C, 11CD), (10D, 9D), (8DC, 7C, 6CB, 5B, 4BA), (3A, 2A), (1AB, 2B, 3BC, 4C, 5CD), (4D, 3D), (2DC, 1CD), (6D, 7D)]
Level sequence: 0|5.6.11.10.9.8.7.8.9.10.11.10.9.876543212345432167|12
Component Sequence
Component Sequence
Patterns of movement can be described by their unique combination of components.
Classical
Classical
Component sequence: M + C + M
Single meander, circuit, single meander*
* This could also be described in terms of reverse serpentines which are inverted serpentines between axial brackets: M = RS = AB − IS + AB.
Chartres
Chartres
Component sequence: S + MS + iSS − IS − oSS − IS + iSS − MS + S
Axial bracket, serpentine (11*), axial bracket, modulating serpentines (2211), inward stepped serpentine cascade (21212), inverted serpentine (11), outward stepped serpentine cascade (21212), inverted serpentine (11), inward stepped serpentine cascade (21212), modulating serpentines (1122), axial bracket, serpentine (11), axial bracket
* See Segment Sequence
Segment Sequence
Segment Sequence
Uniaxial labyrinths have a single sector, so each circuit is traveled as a single segment. Multiaxial labyrinths are divided into multiple sectors resulting in varying segment lengths visited out of order. Segment sequences express the rhythm of the pattern.
Classical
Classical
One axis = one sector (all segments are 1 sector unit long)
Segment sequence: [111]-[1]-[111]
Chartres
Chartres
Four axes = four sectors (segments could be 1, 2, 3, or 4 sector units long)
Segment sequence: [11-2211-21212-11-21212-11-21212-1122-11]
Turn Sequence
Turn Sequence
Turns are expressed as being inward or outward with lower case letters (i or o) for 90° turns and capital letters (I or O) for 180° turns. Hyphens represent axial brackets between components and parentheses indicate a turn that connects two components. Palindromes indicate self-dual or self-transpose patterns.
Classical
Classical
Turn sequence: iOOi-ii-iOOi
Chartres
Chartres
Turn sequence: iIi-iOOO(O)IIII(O)O(O)OOOO(O)O(O)IIII(O)OOOi-iIi
Level Changes
Level Changes
Level changes can help with identifying recurring components, comparing patterns, and translating the pattern to the walked experience.
Classical
Classical
Level changes: +3−1−1+3+3−1−1+3
Chartres
Chartres
Level changes: +5+1+5−1−1−1−1+1+1+1+1−1−1−1−1−1−1−1−1−1−1+1+1+1+1−1−1−1−1+5+1+5
Transformation from Labyrinth to Thread Diagram
Transformation from Labyrinth to Thread Diagram
Click "Watch on YouTube" to see video.
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