A labyrinth’s movement pattern can be examined through three kinds of path portion: sector units, circuit sections, and flow segments. These describe how circuits are divided by sectors and how the path continues within and across circuit levels.
A sector unit (SU) is the portion of one circuit level within one sector. Sector unit count describes the size of a labyrinth type’s circuit–sector structure and measures the orbital extent of circuit sections and flow segments, independently of physical distance.
In a uniaxial labyrinth, the single sector encompasses each full circuit level. In a multiaxial labyrinth, each circuit level is divided into multiple sector units, which may be traversed individually or in continuous portions of varying SU extent.
A circuit section is a continuous portion of the path within one circuit level, comprising one or more sector units. Direct axis crossings can connect units into longer sections. A section ends when the path changes level.
A flow segment comprises one or more circuit sections traversed continuously in the same orbital direction. A turning transition, an axis crossing with a level change greater than one, or arrival at a center, waypoint, or exterior node ends the segment.
A direct crossing continues both the section and the segment. At a spiral crossing (±1), the level change is small enough for orbital movement to be considered continuous flow, extending the segment across adjacent circuit levels.
Circuit Permutation records successive circuit levels by sector unit.
Circuit Sequence records successive circuit levels by section which can highlight progression through adjacent levels. Consecutive numbers occur in serpentines, spirals, and cascades (with or without connecting serpentines, see Chartres example).
Segment Sequence records successive segment extents in sector units. These sequences express the rhythm of the pattern. Spaces distinguish component groupings, hyphens mark axial changes greater than one level in magnitude (|AM| > 1), and square brackets group bands where applicable.
A recurring rhythm can occur in different structures. For example, 21212 can describe a stepped serpentine across five adjacent circuit levels or a folded serpentine across three.
Circuit permutation: 3 2 1 4 7 6 5
Circuit sequence: 3 2 1 4 7 6 5
Segment sequence: [111]-[1]-[111]
Segments / sector units: 7/7 = 1
Circuit permutation: 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: 5 6 11 10 9 8 7 8 9 10 11 10 9 8 7 6 5 4 3 2 1 2 3 4 5 4 3 2 1 6 7
Segment sequence: [11-2211 21212 11 21212 11 21212 1122-11]
Segments / sector units: 31/44 ≈ 0.705