Rpolyhedra


title: "Rpolyhedra" output: rmarkdown::html_vignette vignette: > %\VignetteIndexEntry{Rpolyhedra} %\VignetteEngine{knitr::rmarkdown} \usepackage[utf8]{inputenc}


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.

library(rgl)
library(Rpolyhedra)
setupKnitr()

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:

#show only the first 10 polyhedra.
head(getAvailablePolyhedra(), n = 10)

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:

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.

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])
}


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Rpolyhedra documentation built on Feb. 21, 2019, 4:33 p.m.