Rpolyhedra

#Introduction This package is a curation made based on the poly package found on http://www.netlib.org/polyhedra/ (Original Help message), and the polyhedra database found on http://dmccooey.com/polyhedra, both of which provide polyhedra databases on its own format. As such, Rpolyhedra provides with the following:

1. A module to scrape the polyhedra for the different sources found with features for incremental correction of issues found and to be found in scraping process.
2. A database of the scraped polyhedra.
3. An R6 polyhedron representation with ‘rgl’ package visualizing capabilites.

#Usage

For final users, the package provides a common interface for accesing public polyhedra databases, analize properties, compare and visualize them with RGL.

For advanced users, the package provides a simplified set of R6 objects to scrape and compare polyhedra databases.

##Scrape polyhedra In order to scrape, the following code can be executed to retrieve all polyhedra from the original files produced by the poly command.

library(rgl)
library(Rpolyhedra)
polyhedra <- scrapePolyhedraSources(sources.config = PolyhedronScraperConfigurationNetlib.class$new(), max.quant = 5)

With following code, based on preloaded estimated scraping time, a batch of maximum filenames that could be scraped in 30 seconds will be scraped.

library(rgl)
library(Rpolyhedra)
polyhedra <- scrapePolyhedraSources(sources.config = PolyhedronScraperConfigurationNetlib.class$new(), time2scrape.source = 30)

##Get available polyhedra Once the original files had been processed, a simple call to getAvailablePolyhedra() retrieves a list of the available polyhedra with properties and status in the polyhedra database:

library(rgl)
library(Rpolyhedra)
getAvailablePolyhedra()

##Retrieve a polyhedron The access to a particular polyhedron can be done with a call to getPolyhedron(<<source>>, <<polyhedron.name>>), which returns a Polyhedron object. For example, to retrieve a cube from the netlib database, the call would be:

library(rgl)
library(Rpolyhedra)
cube <- getPolyhedron(source = "netlib", polyhedron.name = "cube")

#A demo To try package funcionality, a simple demo can be executed which shows the 5 regular polyhedra.

library(rgl)
library(Rpolyhedra)
polyhedra.2.draw <- getAvailablePolyhedra(source = "netlib")
polyhedra.2.draw <- polyhedra.2.draw[polyhedra.2.draw$scraped.name %in%
                                       c("tetrahedron","octahedron","cube","icosahedron","dodecahedron"),]

n <- nrow(polyhedra.2.draw)
polyhedron.colors <- rainbow(n)
polyhedron.scale <- 5

open3d()
par3d(FOV = 1)
rgl.bg( sphere =FALSE, fogtype = "none", color=c("black"))
rgl.viewpoint(theta = 0,phi=0,zoom=0.8,fov=1)
for (i in seq_len(n)) {
  polyhedron.row <- polyhedra.2.draw[i,]
  polyhedron.name <- polyhedron.row$scraped.name
  polyhedron <- getPolyhedron(source = polyhedron.row$source, polyhedron.name)
  current.angle <- i/n * 2 * pi
  tm <- rotationMatrix(current.angle, 1,0,0)
  x.pos <- round(polyhedron.scale * sin(current.angle), 2)
  y.pos <- round(polyhedron.scale * cos(current.angle), 2)
  tm <- tm %*% translationMatrix(x.pos,y.pos,0)
  print(paste("Drawing ",polyhedron.name," rotated ", round(current.angle,2),
              " in (1,0,0) axis. Translated to (",x.pos,",",y.pos,",0)",
              " with color ",polyhedron.colors[i], sep = ""))
  shape.rgl <- polyhedron$getRGLModel(transformation.matrix = tm)
  shade3d(shape.rgl, color = polyhedron.colors[i])
}