octahedral

The octahedral impostors replace these billboards with a geodesic polyhedron of octahedral symmetry.

'octahedral' could mean it has the same symmetries as an octahedron, not necessarily that it's an octahedron.

An octahedral projection would be a lot better as there are no singularities and no infinities, but you still have non linear distortion.

Synthetic industrial diamonds are typically made in China using hinge-type cubic anvil apparatus, whereas npd requires a Kawai-cell octahedral multi-anvil apparatus to reach higher pressure.

While we’re talking about map projections, I’ve long been partial to Cahill’s octahedral maps.

I implemented an Octahedral geosphere for a space game in Panda 3D.

No, it was dodecahedral or octahedral, I can't remember.

Each point defines the center of an octahedral volume of space, and by repeatedly slicing each volume using the others' boundaries, you can partition the entire space into something like O(N^3) disjoint pieces.

If you want to optimize for energy-efficiency and short travel distances, you end up with something spherical or octahedral, and probably mostly buried, like a subterranean Epcot Center, or maybe Arcosanti.

As far as I can tell, they're claiming that only one each of tetrahedral and octahedral Goldberg (or Goldberg-like?) polyhedra exhibits equal edges and planar faces, but that there are infinite icosahedral variations with these properties.

Real-time rendering with such a height map would still be a challenge as an octahedral projection relies on texture sampler wrapping modes, however for any real world dataset you can't make a hardware texture big enough (even virtual) to sample from.

The same description of adamant is provided by Pliny the Elder in his tenth book, which adds besides it the description of the Indian adamants, which are completely different from the classical adamant, being octahedral crystals, not metal nuggets, which matches what are now called diamonds.

Pliny the Elder described the "Indian adamant" as consisting of octahedral crystals, which is the most frequent form of the natural diamonds.

Duckgoing for "octahedral sphere" brings up things like a tutorial on "creating better spheres by subdividing an octahedron".

I think that the research article has a better title: “From the “Brazuca” ball to Octahedral Fullerenes: Their Construction and Classification” In fullerenes, all the molecular bounds have (almost) the same length.

Plus many crystal forms (Cubic, Octahedral, Dodecahedral, Tetrahedral, Trapezohedral, Tetrahexahedral,Trisoctahedral, Hexoctahedral, and some triangular Macle forms).