This is a study of intersecting planes. It is a continuation of Intersecting Planes Part 1. This part is focused on six and ten planar interlinked polygons and expansions.
![](https://John-Kostick.github.io/vzome-sharing/2022/09/05/12-14-14-6-ring-interlink/6-ring-interlink.png)
In the model above, six pentagons are interlinked. Analogously to how four interlinked triangles are chords of a Cuboctahedron, these pentagons are chords of an Icosidodecahedron. In the model below, the pentagons are doubled with an alternate set, and then the lines are extended, forming a stellation.
![](https://John-Kostick.github.io/vzome-sharing/2022/09/04/11-58-20-6-plane-star-v.2/6-plane-star-v.2.png)
![](https://John-Kostick.github.io/vzome-sharing/2022/09/05/13-17-48-6-plane-star-extended/6-plane-star-extended.png)
In the above model, the previous model is extended to a further stellation, and then paneled.
![](https://John-Kostick.github.io/vzome-sharing/2022/09/05/13-05-20-Ten-Triangles/Ten-Triangles.png)
![](https://John-Kostick.github.io/vzome-sharing/2022/09/03/08-21-46-10-plane-star/10-plane-star.png)
In the same manner as with four and six plane compositions, the ten triangles are doubled, forming a star. This is also a set of chords of an Icosidodecahedron, though its edges are not delineated.
![](https://John-Kostick.github.io/vzome-sharing/2022/09/03/08-15-45-10-plane-field-extension/10-plane-field-extension.png)
![](https://John-Kostick.github.io/vzome-sharing/2022/09/03/18-46-25-16-plane-star/16-plane-star.png)