plot_word {ChaosGame} R Documentation

## Plot the 2D fractal containing the chosen word

### Description

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 plotted (and optionally probability-integral-transformed).

### Usage

```plot_word(
word = "copula",
R = 20,
phi = 0,
copula = FALSE,
portion = 0.2,
shift = 1.2,
orbit = 3000,
letter_type = 1
)
```

### Arguments

 `word` Word which the fractal should contain infinitely often. `R` Number of runs of the chaos game. `phi` Angle of the rotation. `copula` logical. If TRUE the sample is (approximately) probability-integral-transformed. `portion` Portion based on which the empirical distribution functions are calculated, if `copula = TRUE`. `shift` Distance between letters. `orbit` Number of steps in each run of the chaos game. `letter_type` integer, which indicates the type of the letters. Options are 1 (default) or 2 (round letters).

### Examples

```#Function with word as input, constructs the IFSP and runs the chaos game:

# for nice results use, for example, R = 20 and orbit = 3000
A <- plot_word(word = "copula", R = 50, orbit = 100)
#plot without histograms of the marginal distributions
plot(A, pch =19, col = 4, cex = 0.1)

# further examples:
# with round letters
# A <- plot_word(word = "copula", R = 100, orbit = 300, letter_type = 2)
# with rotation
# A <- plot_word(word = "copula", R = 100, orbit = 300, phi = pi/8)
# A <- plot_word(word = "fractal", R = 100, orbit = 300, phi = pi/6)

# (approximately) probability-integral-transformed
# A <- plot_word(word = "copula", R = 100, orbit = 300, phi = pi/8, copula = TRUE)
# A <- plot_word(word = "fractal", R = 100, orbit = 300, phi = pi/6, copula = TRUE)
```

[Package ChaosGame version 1.1 Index]