From this, trees can be constructed.

First, take a look at the two minimal trees

Syntax Trees

Now, take a look at the four Syntax trees below. The nodes are labeled S, NP and VP.

At first sight, only the first two a seem valid ( as in S--> NP VP )

The second two seem invalid, as in (*S --> VP NP)

This is where Projection comes in.

In the picture below, all three nodes are being projected onto the outer side of the containing Field. The result: two Forms, two one-dimensional sequences green and yellow, on the left and bottom side of the tree structure.

Now let us import a syntax structure, and focus on the two Forms left and bottom.

Surprisingly, The lexical Form is positioned as a horizontal projection!

The logical form is residing at the bottom

In the examples below, a variety of trees and forms reveal the multiple Forms (interfaces) on the private tree structure.

Some more structures first?

Looks a bit weird?

Follow the links below.

A good start could be th Q&A-page

All elements and processes will be discussed

First, discover 

the Matrix Tree

a free cell stucture notation

The Free Cell notation creates space for projecting multiple Forms (typecasts)

Projection & Forms

Introducing Projection causes the Matrix Tree to evolve into a field:

The Graph Field

The Field Notation gave birth to 

Tree Semantics

linguistic application (use case):

The Context Field

A context field is  a graph field representing meaning

In Dutch, some more use cases?