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icosa (version 0.12.0)

Global Triangular and Penta-Hexagonal Grids Based on Tessellated Icosahedra

Description

Implementation of icosahedral grids in three dimensions. The spherical-triangular tessellation can be set to create grids with custom resolutions. Both the primary triangular and their inverted penta-hexagonal grids can be calculated. Additional functions are provided that allow plotting of the grids and associated data, the interaction of the grids with other raster and vector objects, and treating the grids as a graphs.

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Version

Install

install.packages('icosa')

Monthly Downloads

251

Version

0.12.0

License

GPL-3

Maintainer

Adam Kocsis

Last Published

August 28th, 2025

Functions in icosa (0.12.0)

Methods of 3D face plotting.

Icosahedral grid-based density estimation Spatial density estimation algorithm based on rotation of icosahedral grids.

Spherical convex hull.

The face names of a trigrid or hexagrid object

Create or instantiate an graph class graph from the faces of an icosahedral grid

Make an spdep-style neighbor list for an icosahedral grid

Lengths of grid edges

The edges of a 3d object

[,gridlayer,ANY,missing-method

Extraction from a gridlayer using indices

facelayer-class

A facelayer linked to a trigrid or hexagrid object

Construct a penta-hexagonal icosahedral grid

Tessellation guide to hexagrid objects

Legend for a heatmap with predefined colors.

Global Triangular and Hexa-Pentagonal Grids Based on Tessellated Icosahedra

Labels of grid vertices, faces and edges.

length,trigrid-method

The number of faces in a trigrid or hexagrid class object.

Holes of shapes on an icosahedral grid

Guides for 3d spherical plotting.

lines,trigrid-method

Lines method for the trigrid and hexagrid classes

Display the names of the grid elements in 3d plots.

Add a sf object to a predefined slot in a trigrid or hexagrid object

names,gridlayer-method

The face names in a facelayer class object

Patches of shapes on an icosahedral grid

Faces occupied by the specified object

Add an igraph object to a predefined slot in an icosahedral grid

Add a SpatialPolygons object to a predefined slot in a trigrid or hexagrid object

rotate,matrix-method

Rotation of 3d objects

surfacecentroid

Surface centroid point of a spherical point cloud

Areas of grid cell surfaces

Basic lookup function of coordinates on an icosahedral grid

Resampling of data involving a trigrid or a hexagrid object.

Spacing of cell centers

Extracting and setting the grid orientation

Methods of 3d line plotting

Subsetting an icosahedral grid or data layers organized with them

Export trigrid class object as Wavefront .obj file

Random point generation on the surface of a sphere

The neighbouring faces of faces in an icosahedral grid

3d plotting of an icosahedral grid, its subset or a data layer

Position of face centers and vertices on a grid

The vertices of an icosahedral grid object

A triangular icosahedral grid

Translating an icosahedral grid object in 3d Cartesian space

Plot method for the trigrid, hexagrid or facelayer classes

Calculate the vertex radii of icosahedral grid faces

Extract and replace values from a gridlayer-derived object (e.g. link{facelayer}).

Shape distortions of the triangular faces and subfaces

Tessellation guide to trigrid objects

Spatial polygons from an icosahedral grid

Create a SpatialLines class object from an icosahedral grid

Locate grid faces based on their positions on a map

Calculation of distances along arcs

Conversion of polar coordinates to 3d Cartesian coordinates

The face centers of an icosahedral grid object

Calculation of point coordinates along an arc

Calculation of distance matrices along arcs

Conversion of 3d Cartesian coordinates to polar coordinates

Function to plot a set of great circle arcs between points