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Ballard's Equation (aka Brian's Sum) provides the mathematical basis for the structural development of The Parasitic Spectacular. The calculation was devised by engineer Brian Ballard, in order to find the apex of a bullet fired vertically from an M16. This is the point at which the bullet will be static for a fraction of a second, and therefore determines the distance between the firing mechanism and the viewing platform. In other words, it tells us how deep we need to dig.

In this first calculation, we see the bullet reaching 2367.34m, which would mean that the tunnel leading to the shooting facility would need to extend 2043.34m below ground level.


With the introduction of Sulphur Hexafluoride - the densest gas known - we see the trajectory of the bullet reaching its uppermost point at 640.97m. This atmospheric 'dampener' is crucial to the structural feasibility of the project, bringing the subterranean construction to within the realms of possibility.