Horvian Cluster

The Horvian Cluster, located completely in the Vega Sector, is a globular star cluster with an approximate volume of 130 cubic light-years. Though a survey has not yet been conducted (2062), it is estimated there are between 25 & 130 stars, primarily in binary, trinary, and quaternary systems.

Method

1. Provide Perplexity the dimensions of the nebula/star cluster/state's established coordinates of its central plane:

"A globular-shaped closed form is represented on a 2D chart with the following (JSON format) coordinates. Generate that 2D representation as an image with a defining boundary."

Attach those points; ex:

"points":[{"x":-31.16,"y":10.75,"z":0},{"x":-32.15,"y":8.55,"z":0},{"x":-29.8,"y":7.14,"z":0},{"x":-27.71,"y":10.75,"z":0},{"x":-26.6,"y":12.82,"z":0},{"x":-28.14,"y":12.51,"z":0}]

2. Determine the greatest length between established coordinates of the nebula/star cluster/state:

"What is the longest dimension that exists within this shape?"

3. Determine the upper and lower z-axis values, based on that greatest length; modify as necessary/pertinent.

4. Determine the approximate volume by the central plane's established dimension:

"Presuming a minimum Z-axis point of -# and a maximum z-axis point of +#, tapering from the dimensions presented above, what is the approximate volume of the 3D shape?"

5. For star clusters, determine the possible range of stars within that volume:

"In a globular star cluster (with an average cluster-wide density) of ### cubic lightyears, what is the range of expected number of stars?"