plot_word3D | R Documentation |

The function allows to enter a word of at least two letters based on which an Iterated Function System with Probabilities (IFSP) is constructed. This IFSP is then used to generate a two-dimensional fractal containing the chosen word infinitely often, which is then projected onto several three-dimensional surfaces. Optionally, the projection is transformed into another fractal with uniform marginals.

plot_word3D( word = "copula", R = 20, plot.rgl = TRUE, copula = TRUE, portion = 0.2, color.rgl.plot = "green2magenta", plot.surface = "Sphere", histogram = TRUE, shift = 1.2, orbit = 3000, cex.label = 0.7, size.lines = 0.1, Theta = 40, Phi = 30, Box = TRUE, projection = TRUE, letter_type = 1 )

`word` |
Word which the fractal should contain infinitely often. |

`R` |
Number of runs of the chaos game. |

`plot.rgl` |
If |

`copula` |
logical. If TRUE the sample is (approximately) probability-integral-transformed. |

`portion` |
Portion based on which the empirical distribution functions are calculated, if |

`color.rgl.plot` |
Plotting color/color-range for the rgl-plot. One can choose between |

`plot.surface` |
Three-dimensional surface on which the two-dimensional fractal is projected. Options are |

`histogram` |
It is an option available only under the rgl-plot option (i.e if |

`shift` |
Distance between letters. |

`orbit` |
Number of steps in each run of the chaos game. |

`cex.label` |
Font size, for exporting as a pdf or png file (see examples). |

`size.lines` |
Line width, for exporting as a pdf or png file (see examples). |

`Theta` |
Angles defining the viewing direction. |

`Phi` |
Angles defining the viewing direction. |

`Box` |
If |

`projection` |
An option available only if |

`letter_type` |
integer, which indicates the type of the letters. Options are 1 (default) or 2 (round letters). |

# function with a word as input, runs the chaos game, # calculates the copula transformation and projects the result on a sphere: # for nice results use, for example, R = 20 and orbit = 3000 # A <- plot_word3D(word = "copula", copula = FALSE, R = 50, orbit = 100) # further examples: # projection of the fractal on the Enneper Minimal Surface: # A <- plot_word3D(word = "copula", R = 75, orbit = 300, copula = FALSE, # plot.surface = "EnneperMinimalSurface", histogram = FALSE) # same example as before, now with histogram = TRUE # A <- plot_word3D(word = "copula", R = 100, orbit = 300, copula = FALSE, # plot.surface = "EnneperMinimalSurface") # same example as before (approximately) probability-integral-transformed (i.e. copula = TRUE) # A <- plot_word3D(word = "copula", R = 100, orbit = 300, copula = TRUE, # plot.surface = "EnneperMinimalSurface") # projection of the fractal on a Catalan Surface # A <- plot_word3D(word = "copula", R = 100, orbit = 300, copula = FALSE, # color.rgl.plot = "blue2green", plot.surface = "CatalanSurface") # projection of the fractal on a Helix # A <- plot_word3D(word = "copula", R = 100, orbit = 300, copula = FALSE, # color.rgl.plot = "green2red", plot.surface = "Helix") # projection of the fractal on a Torus # A <- plot_word3D(word = "copula", R = 100, orbit = 300, copula = FALSE, # color.rgl.plot = "blue2yellow", plot.surface = "Torus") # projection of the fractal on a Sphere # A <- plot_word3D(word = "copula", R = 100, orbit = 300, copula = FALSE, # color.rgl.plot = "ygobb", plot.surface = "Sphere") # Sphere (approximately) probability-integral-transformed (i.e. copula = TRUE) # A <- plot_word3D(word = "copula", R = 100, orbit = 300, copula = TRUE, # color.rgl.plot = "ygobb", plot.surface = "Sphere") # scatter-plot with plot3D (i.e. plot.rgl = FALSE) for exporting as a pdf file # pdf(file = "Sphere.pdf", width = 30, height = 25) # A <- plot_word3D(word = "copula", R = 100, orbit = 300, copula = FALSE, plot.rgl = FALSE, # plot.surface = "Sphere", cex.label = 1.8, size.lines = 0.001) # dev.off() #' # scatter-plot with plot3D (i.e. plot.rgl = FALSE) for exporting as a png file # png(file = "Sphere.png", width = 5000, height = 4000) # A <- plot_word3D(word = "copula", R = 100, orbit = 300, copula = FALSE, plot.rgl = FALSE, # plot.surface = "Sphere", cex.label = 5, size.lines = 2) # dev.off()

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