6 Intersecting Tetrahedra

All 6 tetrahedra are identical, and all of the faces are identical isosceles triangles (45 - 67.5 - 67.5)

 

For those trying to reproduce it, there are 3 types of units, and a total unit count of only 48. Here are the dimensions I used:

1: 1.5" x 3.375"

2: 1.5" x 4.75"

3: 1.5" x 6.25"

 

EDIT: FYI, the wide-angle for modeling the intersection needs to be around 114.47 degrees, which is mid-way between a pentagon (108) and a hexagon (120).

 

There are 6 intersection joints combining the 6 tetrahedra into 3 pairs (orange/green, purple/yellow, and blue/red). Actually, a single pair looks cool enough to have been a model of it's own, and it's amazing to me that 3 of them can weave together like this.

 

4-fold view: www.flickr.com/photos/8303956@N08/6434101039/in/photostream

3-fold view: www.flickr.com/photos/8303956@N08/6434100771/in/photostream

2-fold view: www.flickr.com/photos/8303956@N08/6434100515/in/photostream

povray concept: www.flickr.com/photos/8303956@N08/6431982853/in/photostream

Done