Basic Geometrical Forms

The plane projections of the two different types of elements, cell and intermediate element, are simple geometrical forms. There are six such forms that are used most often: square, rhombus, almond (deltoid), jug (quarter octagon), large biped (complement to a jug) and small biped (complement to an almond).
Without context there exists no one-to-one relationship between cells, intermediate elements and their plane projections (see the rhombus example).
In the following we present the basic geometrical forms according to Al-Kashi [2, 3] and possible realizations as cells or intermediate elements. The side measuring the length of the module always lies at the bottom of each picture.

1. Square

   Square as a cell.

   
   [Animation] [VRML Model]

2. Rhombus

   Rhombus both as a cell and as an intermediate element.

   
   cell: [Animation] [VRML Model] intermediate element: [Animation] [VRML Model]

3. Almond (deltoid)

   Almond as a cell.

   
   [Animation] [VRML Model]

4. Jug

   Jug as a cell.

   
   [Animation] [VRML Model]

5. Large Biped

   Large biped as an intermediate element.

   
   [No Animation available] [No VRML Model available]

6. Small Biped (complement to a jug)

   Small Biped as an intermediate.

   
   [Animation] [VRML Model]