Pyramidion

The Pyramidion is a location in Echo Mesa, Io. It is only accessible during the Strike, The Pyramidion, and the Curse of Osiris story mission Deep Storage. It is the lair of Brakion, Genesis Mind.

According to Ikora Rey and Asher Mir, the Pyramidion on Io is one of many; every Vex machine world has a Pyramidion, and these structures serve as the Vex's main machinoforming engines. It is also believed that all Pyramidions are intrinsically connected to each other and lead to the same interior space. On at least one occasion, this interior appeared markedly different than was previously recorded, suggesting that it is either capable of reconfiguring its structure or that a Pyramidion may actually lead to one of several common spaces.

The Pyramidion is also noted to contain massive repositories of information, far more than most normal Vex facilities are capable of. It possesses Warp Gates inside the leads to thousands of places and Realities. Ikora had the Guardian search for a map within the facility that depicted all possible realities within the Infinite Forest, in order to locate Panoptes, Infinite Mind.

Trivia

 * In the Transcript of the Pyramidion Strike, it is described to be a Hilbert Space, the concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It extends the methods of vector algebra and calculus from the two-dimensional Euclidean plane and three-dimensional space to spaces with any finite or infinite number of dimensions. Hilbert spaces arise naturally and frequently in mathematics and physics, typically as infinite-dimensional function spaces. Considering that it is described as an infinite dimensional functional space would lean towards the latter, even Ikora stated that entering the Pyramidion is the same as transcending the physical reality.
 * It also mentions us climbing through a Sierpiński Carpet which is one of the Fractals of the Hausdorff Dimension, which the former behaves as a higher-dimensional space in terms of how much space it takes up in a topological dimension.
 * And followed by going through a Manifold, which is either a pipe or chamber branching into several openings, or in mathematics, a collection of points forming a certain kind of set, such as those of a topologically closed surface or an analog of this in three or more dimensions.
 * Also mentions with our eigenstate in the Pyramidion coordinates, which is a quantum-mechanical state corresponding to an eigenvalue of a wave equation. which eigenvalue is each of a set of values of a parameter for which a differential equation has a nonzero solution (an eigenfunction) under given conditions.
 * A Vex structure in the background of the Crossroads Crucible map appears to be the the Mars Pyramidion. Of note is that Crossroads is set in a region of Mars known as the Lost Oasis, which bears resemblance to the location on Io of the same name.

List of appearances

 * Destiny 2
 * Curse of Osiris
 * Shadowkeep