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Fine Dictionary

trifurcate

WordNet
  1. (v) trifurcate
    divide into three "The road trifurcates at the bridge"
Webster's Revised Unabridged Dictionary
  1. Trifurcate
    Having three branches or forks; trichotomous.
Century Dictionary and Cyclopedia
  1. trifurcate
    Forking or forked into three parts; three-pronged; trichotomous.
  2. trifurcate
    In botany, three-forked; divided into three branches or forks.
  3. trifurcate
    To divide into three parts.
Chambers's Twentieth Century Dictionary
  1. (adj) Trifurcate
    trī-fur′kāt having three forks or branches
  2. (v.i) Trifurcate
    to divide into three parts
Etymology

Webster's Revised Unabridged Dictionary L. trifurcus,; tri-,see Tri-) + furca, fork

Chambers's Twentieth Century Dictionary L. trifurcus—tri, tris, thrice, furca, a fork.

Usage in scientific papers

Tile all of Zd with boxes of size Λn . A given box is called a trifurcation box if removing a connected cluster of vertices inside of the box causes a single infinite cluster to break into three or more pieces.
Random Surfaces

Now, for a large value of k , let Λkn be a box of side length kn; observe that for each trifurcation box of an infinite cluster C , we can choose a partition of the ∂Λn ∩ C into three sets, each of which is the intersection of ∂Λn with one of the three components of the infinite cluster that is broken apart.
Random Surfaces

In fact, as Burton and Keane observe (again, see Lemma 8.5 of or ), the set of partitions corresponding to the trifurcation points of the intersection with any particular cluster forms a compatible family of partitions of the intersection of ∂Λn with that infinite cluster.
Random Surfaces

This implies that the total number of trifurcation points in Λn is less than |∂Λn |.
Random Surfaces

To handle the latter possibility, the rough idea is to build a trifurcation point (see Definition 3.3) using the interlacement paths; this is done in what follows Lemma 3.4 In both cases, the difficulty is due to the fact that the measures Qu fail to satisfy the so-called finite energy condition (1.5) used in .
On the uniqueness of the infinite cluster of the vacant set of random interlacements

Usage in literature

Tendrils may be long or short, stout or slender; simple, bifurcated or trifurcated; or smooth, pubescent or warty. "Manual of American Grape-Growing" by U. P. Hedrick

When the road had traversed the width of the valley, it trifurcated. "Sinister Street, vol. 2" by Compton Mackenzie

The genital duct is now trifurcated or triaulic, a condition which is confined to certain Nudibranchs, viz. "Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 5" by Various

There are two dorsal fins, slightly connected; the caudal fin is double concave or trifurcate. "Bass, Pike, Perch, and Others" by James Alexander Henshall