These five originals (#1 – #5) show the axis geometry found in the human heart. The first original (#1) shows the discovery of how a new star is created by integrating a pentagram (a circle of five) and a heptagram (a circle of seven). The second two originals (#2 – #3) show the afterimage of the star as it moves around a lemniscates of two circles. The viewer can now experience where the stars are found in the two circles. The next two originals (#4 – #5) show all the stars becoming a composite view of the heart geometry. The idea behind all five originals are that the human heart rejoices when life is experienced as a rhythmic weaving between peripheral and centric polarities. Contemplating any of these prints is a lawful moving way of experiencing the metamorphosis of light, which helps to heal our heart. They are healing cosmic geometries.

The Chestahedron establishes a unique relationship between the numbers 5 and 7. This is embodied in the five prints that Frank has made which explore this theme via two interpenetrating circles. The following visualization brings out different characteristics of the relationship between these two numbers, between the centric and peripheral, between the inner and outer, between form and dynamism. View all five originals in a meditative animation sequence below (click play icon to start playback):

 

 

This geometry is the most profound newly developed configuration in the 21st century. Never before has a circle been divided into seven equal spaces using a pentagram as its base. Diameters of two circles and the distance between their centers derive from the Chestahedron. In between these two circles, inside the Chestahedron, there is a cube that separates them. The distance between the centers of both circles is in a ratio of root 3 to this cube if it had a side with a length of 1. Now a pentagram can be drawn in the smaller circle and by projecting the top point of this star until the lines reach the larger circle, a Heptagram can be constructed. This geometry has produced a new star, yielding twelve stars circulating in a lemniscate focusing on the “center” and “periphery”. The new star is the one that is simultaneously moving within both circles in balance between the centric and the peripheral forces. Thus, where this star is created in conjunction with both circles there are really two stars in the same space (one from the centric side, one from the peripheral side). It therefore appears that there are only eleven stars, while in actuality there are twelve.

In the animation below, built entirely on the basis of the geometry of the Chestahedron, demonstrates the relationship between a 5-unit cycle (yellow star) and a 7-unit cycle (blue star). The two stars begin in the same position, but when they start to rotate around their respective circles, they do not meet up again until the 5-unit cycle completes seven complete rotations, and the 7-unit cycle completes five complete rotations.

The yellow star aims outward, and represents the peripheral forces, while the blue star aims inward, representing the centric forces. The end of the animation shows how the interplay of these two forces operate in accordance with a harmonic back and forth, creating a lemniscate form.

The blue numbers count both the individual steps and the total rotations of the blue star, as do the yellow numbers for the yellow star. The white numbers in the center count only the individual total steps, showing that a 5-cycle locked to a 7-cycle creates a larger 35-cycle.  See how this geometry creates a cyclical relationship between the numbers five and seven in the animation below (click play icon to start playback):