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| --- | |
| title: "random die fraction" | |
| --- | |
| ```{r} | |
| fifth <- '<svg xmlns="http://www.w3.org/2000/svg" height="42px" width="42px"><rect stroke="black" fill="none" x="1px" y="1px" stroke-width="2px" rx="5px" width="40px" height="40px"></rect> <circle stroke="black" fill="black" cy="30px" cx="30px" r="5px"></circle> <circle stroke="black" fill="black" cy="30px" cx="10px" r="5px"></circle> <circle stroke="black" fill="black" cy="20px" cx="20px" r="5px"></circle> <circle stroke="black" fill="black" cy="10px" cx="30px" r="5px"></circle> <circle stroke="black" fill="black" cy="10px" cx="10px" r="5px"></circle> </svg>' | |
| ``` | |
| Sure, I can display you | |
| `r fifth` | |
| But what is the chance that you'll be in the numerator | |
| ```{r} | |
| library(minisvg) | |
| roll_dice <- function(n = sample(1:5, 1)){ | |
| pos <- list(data.frame(x = NULL, y = NULL), | |
| data.frame(x = c(0.5), y = c(0.5)), | |
| data.frame(x = c(0.2,0.8), y = c(0.2, 0.8)), | |
| data.frame(x = c(0.2,0.5,0.8), y = c(0.2,0.5, 0.8)), | |
| data.frame(x = c(0.2,0.2,0.8,0.8), y = c(0.2, 0.8,0.2, 0.8)), | |
| data.frame(x = c(0.2,0.2,0.5,0.8,0.8), y = c(0.2, 0.8, 0.5, 0.2, 0.8))) | |
| doc <- SVGDocument$new(width = 42, height = 42, viewBox = '-1 -1 44 44') | |
| die <- pos[[n+1]] | |
| if(nrow(die)>0){ | |
| x <- scales::rescale(die$x, c(5, 37), from = c(0,1)) | |
| y <- scales::rescale(die$y, c(5, 37), from = c(0,1)) | |
| for(i in seq_len(n)){ | |
| doc$circle(cx=x[i], cy=y[i], r=5, fill = 'gold', stroke='black') | |
| } | |
| } | |
| doc$append( | |
| stag$rect( | |
| x = 0, y = 0, rx=5, ry=5, width = 42, height = 42, fill = 'none', | |
| stroke = 'black', svg_prop$`stroke-width`$set(2) | |
| ) | |
| ) | |
| list(n=n, svg = paste0(doc$as_character_inner(depth = 0), collapse = " ")) | |
| } | |
| ``` | |
| $$ | |
| \newcommand{\fifthdie}{\mmlToken{mglyph}[src='data:image/svg+xml, `r fifth`' width="42px" height="42px" valign="0px" alt="5 die"]{}} | |
| \newcommand{\randie}{\mmlToken{mglyph}[src='data:image/svg+xml, `r die <- roll_dice();die$svg`' width="42px" height="42px" valign="0px" alt="die `r die$n`"]{}} | |
| $$ | |
| $$ | |
| \alpha = \frac{\randie}{\fifthdie} \beta + \frac 1 2 | |
| $$ | |
| Chances that my Python for loop uses correct indexing: | |
| ```{r, results='asis'} | |
| wrap_die <- function(n){ | |
| die <- roll_dice(n) | |
| id <- letters[n+1] | |
| cat(glue::glue(r"(\newcommand{\die<id>}{\mmlToken{mglyph}[src='data:image/svg+xml, <die$svg>' width="42px" height="42px" valign="0px" alt="die <die$n>"]{}})", .open='<',.close='>')) | |
| } | |
| purrr::walk(0:5, wrap_die) | |
| ``` | |
| $$ | |
| \alpha = `r n=0:5;id=letters[n+1];glue::glue_collapse(glue::glue(r"(\frac{\die[id]}{\diea})", .open='[',.close=']'), sep = "+")` | |
| $$ | |
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