Cycle
Reader returns to a previously-visited lexia and eventually emerges along a new path.
Joyce's Cycle
Named for Michael Joyce, in this a reader returns to a previously visited portion of the hypertext and reads along a previously visited set of lexia before emerging onto a new path.
Douglas' Cycle
Named for J Yellowlees Douglas, an unbroken cycle (with no emergence) signals the end of a section or an exhaustion of the hypertext.
Web Ring
A Web ring is a grand cycle, connected by topic or more generally by shared readership. The experience of a web ring might be like the experience of one of the other cycles, but is distinguished by the fact that it is a grand structure, one which by necessity incorporates other structures and which may not include revisitation in an average reading.
Contour
A contour is formed where cycles meet, and allows access between cycles. I'm not sure how this is different from a set of connected cycles.
Counterpoint
Two voices alternate. This often communicates structure clearly and is good for interleaving themes or for theme and response.
MirrorWorld
A parallel or intertextual structure that is used specifically to create a different voice or contrasting perspective.
Tangle
A tangle is a structure where the reader has a multitude of links and insufficient information to choose between them. A tangle might be closed within a loop or might branch out into other structures-- the common point is that the reader has insufficient information to choose between the paths.
Sieve
A branching structure which sorts readers out into other structures by a sequence of choices. The choices may be informed (Table of Contents) or uninformed (in which case it looks more like a tangle)
Montage
Several lexia presented together create a montage.
Neighborhood
A Neighborhood establishes an association among [lexia] through proximity, shared ornament, or common navigational landmarks. The common features show that the lexia are "close" in some intentional way.
Episode
In the description of the Neighborhood structure, Bernstein describes "Rosenberg's episodes", which are like neighborhoods but with regard to the reader's perception rather than to meaning in the hypertext.
Split/Join
A split/join knits two or more sequences together. Those individual sequences may be composed of other structures; the point of the split/join is that a connection is made (implying, perhaps, a neighborhood).
Rashomon pattern
A split/join embedded in a cycle creates what Bernstein calls a Rashomon pattern, where the recurrence of the cycle is conducted over different threads (often creating a counterpoint either implicitly or explicitly)
Overview/Tour
A split/join where one side is more detailed than the other (but are rhetorically similar) frequently constitutes an overview or tour of other structures.
Moulthrop's Move
A split where the text "responds ironically" to the reader's apparent expressed interest (indicated by link choice).
Missing Link
An absent (or broken?) link where one is expected can be a meaningful structure when, like an ellipsis, allusion, or iteration, it implies a connection.
Navigational Feint
The offer of a navigational opportunity that cannot or is not followed immediately. It can establish a pattern for later in the reading or provide information about the structure or scope of the text