Cantor set: Difference between revisions

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End Sub</lang>
 
=={{header|R}}==
# provided by neonira
<lang R>
cantorSet <- function() {
depth <- 6L
cs <- vector('list', depth)
cs[[1L]] <- c(0, 1)
for(k in seq_len(depth)) {
cs[[k + 1L]] <- unlist(sapply(seq_len(length(cs[[k]]) / 2L), function(j) {
p <- cs[[k]][2L] / 3
h <- 2L * (j - 1L)
c(
cs[[k]][h + 1L] + c(0, p),
cs[[k]][h + 2L] - c(p, 0)
)
}, simplify = FALSE))
}
cs
}
 
cantorSetGraph <- function() {
cs <- cantorSet()
 
u <- unlist(cs)
 
df <- data.frame(
x_start = u[seq_along(u) %% 2L == 1L],
x_end = u[seq_along(u) %% 2L == 0L],
depth = unlist(lapply(cs, function(e) {
l <- length(e)
n <- 0
while(l > 1) {
n <- n + 1L
l <- l / 2
}
rep(n, length(e) / 2)
}))
)
 
require(ggplot2)
g <- ggplot(df, aes_string(x = 'x_start', y = 'depth')) +
geom_segment(aes_string(xend = 'x_end', yend = 'depth', size = 3)) +
scale_y_continuous(trans = "reverse") +
theme(
axis.title = element_blank(),
axis.line = element_blank(),
axis.text = element_blank(),
axis.ticks = element_blank(),
legend.position = 'none',
aspect.ratio = 1/5
)
 
list(graph = g, data = df, set = cs)
}
</lang>
{{out}}
 
 
=={{header|Racket}}==