sierpinski_tetrahedron_surface_helpers: Weighted Sierpinski tetrahedron surface helpers

Description

Convenience wrappers around recursive.tetrahedron.mask.surface.*() using the classic all-corner tetrahedron mask. These helpers are intended for benchmark families where the topology is the standard simplicial tetrahedral gasket but the intended metric comes from a squashed, twisted, or spatially varying realization.

Usage

sierpinski.tetrahedron.surface.embedding(
  level = 2,
  surface = c("standard", "squashed", "twisted", "wavy"),
  amplitude = 0.3,
  freq = 2,
  twist = 0.6
)
sierpinski.tetrahedron.surface.graph(
  level = 2,
  surface = c("standard", "squashed", "twisted", "wavy"),
  amplitude = 0.3,
  freq = 2,
  twist = 0.6,
  normalize = c("median", "mean", "none")
)

Value

sierpinski.tetrahedron.surface.embedding() returns an n x 3

numeric matrix with columns x, y, and z.

sierpinski.tetrahedron.surface.graph() returns the same components as recursive.tetrahedron.mask.surface.graph(), with family set to "sierpinski.tetrahedron" and a family-specific class and label.

Arguments

level: Recursion depth. May be 0 or larger.
surface: Tetrahedron surface family. One of "standard", "squashed", "twisted", or "wavy".
amplitude: Finite deformation amplitude.
freq: Positive modulation frequency used only when surface = "wavy".
twist: Finite twist strength used only when surface = "twisted".
normalize: Normalization applied to the induced edge lengths. One of "median", "mean", or "none".