The Penteraster is an encapsulation of the two basic performances of Pentegraph as it comprises of the Penter and the Aster. The blending between these two forms produce a myriad of combinations and patterns as the paths can switch from one to the other.
It comprises of seven circles: the inner circle (Aster), the five circles of the Penter, and the outer circle (Pentekirkos), which would be part of a Dodekakirkos Penter.
The interactive 3D model above (click and drag), shows the Penteraster as it forms upon the surface of the Pentegraph Orb, while the video below shows how the Aster projects from this structure.
The central Aster is the inter-planal 3 dimensional circle (the inner circle: Esokirkos), while the Penter is the 2 dimensional path that forms upon the surface of a sphere. The jumping from one to the other at appropriate junctions allows the reversing of direction and the discovery of new patterns.
The Aster is the inner circle (Esokirkos) that connects the Penter circles together.
An advanced technique has the Penteraster performed with one hand drawing the Penter while the other draws the Aster at its centre (not shown). This technique has a number of synchronicity methods depending upon the positioning of the hands. The hands can exchange places during the performance with there being a transition from Penter to Aster or Aster to Penter, and during this transition both hands can track to and follow the same artefact until they diverge again. There are a great many possible permutations.
The full Penteraster would include the Dodekakirkos Penter that creates the Aster at the centre as the interactive 3D model below shows.
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Moving from the Kirkos to the Aster allows the rotation of the Kirkos to be reversed.
Using only part of the Aster can produce a figure of eight (Dykirkos), where part of the Aster provides a circle at right angles to the Kirkos. This is shown below with the Aster circle coming out at you at the top, and the 2D Penter circle at the bottom.
The Penteraster is effectively five of these Dykirkoi assembled together.
Jumping from one Dykirkos to another is achieved by travelling the Aster until the required junction is reached. Clicking on the animation below will show how the Penteraster is traversed with this method.