## ----setup, include = FALSE----------------------------------------------
knitr::opts_chunk$set(
collapse = TRUE,
comment = "#>"
)
remake <- FALSE
library(spiro)
library(pander)
library(magrittr)
library(ggplot2)
library(dplyr)
library(purrr)
## ---- eval=FALSE---------------------------------------------------------
# install.packages("remotes")
## ---- eval=FALSE---------------------------------------------------------
# remotes::install_github("wjschne/spiro")
## ----simple_spiro, eval = remake-----------------------------------------
# library(spiro)
# library(magrittr)
#
# spiro(
# fixed_radius = 7,
# cycling_radius = 6,
# pen_radius = 2,
# draw_fills = F,
# file = "simple_spiro.svg"
# )
#
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("simple_spiro.svg")
## ----viridis_weave, eval=remake------------------------------------------
# spiro(
# fixed_radius = 1231,
# cycling_radius = 529,
# pen_radius = 1233,
# color_groups = 67,
# color_cycles = 59,
# windings = 96,
# points_per_polygon = 50,
# file = "viridis_weave.svg"
# ) %>%
# add_background(color = "black")
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("viridis_weave.svg")
## ----cork, eval=remake---------------------------------------------------
# spiro(
# fixed_radius = 800,
# cycling_radius = 677,
# pen_radius = 100,
# color_groups = 10,
# color_cycles = 61,
# windings = 677 * 0.5,
# transparency = 1,
# start_angle = 0,
# points_per_polygon = 30,
# colors = scico::scico(n = 10, palette = "cork"),
# end_at_beginning = F,
# draw_fills = F,
# file = "cork.svg"
# ) %>%
# add_background_gradient(
# colors = c("black", "black", "gray40"))
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("cork.svg")
## ----purple_midnight, eval=remake----------------------------------------
# spiro(
# file = "purple_midnight.svg",
# fixed_radius = 800,
# cycling_radius = 751,
# pen_radius = 40,
# color_groups = 4,
# color_cycles = 2,
# points_per_polygon = 5000,
# colors = c(
# "midnightblue",
# "white",
# "purple4",
# "white")) %>%
# add_lines(
# colors = "black",
# line_width = 0.15) %>%
# add_background_gradient(
# colors = c("black",
# "purple4",
# "black",
# "midnightblue",
# "black",
# "gray20"),
# stops = c(0,0.25,0.63,0.67,0.70,1))
#
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("purple_midnight.svg")
## ----royalfire_weave, eval=remake----------------------------------------
# spiro(
# fixed_radius = 359,
# cycling_radius = 261,
# pen_radius = 40,
# color_groups = 36,
# color_cycles = 36,
# draw_fills = F,
# points_per_polygon = 10,
# line_width = 3.5,
# file = "royalfire_weave.svg",
# colors = c(
# scales::div_gradient_pal(
# low = "royalblue4",
# mid = "black",
# high = "firebrick4")(seq(0, 1, length.out = 18)),
# scales::div_gradient_pal(
# low = "royalblue",
# mid = "white",
# high = "firebrick")(seq(0, 1, length.out = 18))
# )
# ) %>%
# add_background(color = "gray10")
#
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("royalfire_weave.svg")
## ----spiralstar, eval=remake---------------------------------------------
# k <- 36
# files <- paste0("s", 1:k, ".svg")
# pen_radii <- seq(3.8, 1.5, length.out = k)
# alphas <- rep_len(c(0.85, rep(0.2, 4)), k)
# colors <- rep_len(scico::scico(6, palette = "devon"), k) %>%
# scales::alpha(alpha = alphas)
#
# tibble::tibble(
# file = files,
# pen_radius = pen_radii,
# colors = colors) %>%
# purrr::pmap_chr(
# spiro,
# fixed_radius = 7,
# cycling_radius = 4,
# rotation = -pi / 10,
# points_per_polygon = 500,
# draw_fills = T,
# xlim = c(-7, 7),
# ylim = c(-7, 7)) %>%
# image_merge(
# output = "spiralstar.svg",
# delete_input = TRUE) %>%
# add_lines(colors = c(rep(NA,k - 1), "gray")) %>%
# image_rotate(degrees = (1:k / 2.5)) %>%
# add_background_gradient(
# colors = c(
# "#FFFFFF",
# "#26588E",
# "#E5E3F9",
# "#283568",
# "#C8C3F3"),
# radius = 1,
# rounding = 1,
# stops = c(0.42,0.93,0.96,0.97,1))
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("spiralstar.svg")
## ----oslo_aster, eval=remake---------------------------------------------
# n <- 10
# oslo_colors <- scico::scico(
# n = n,
# palette = "oslo",
# alpha = 0.9) %>%
# rev()
#
# spiro(
# file = "oslo_aster.svg",
# rotation = pi / 6,
# points_per_polygon = 100
# ) %>%
# image_merge(output = "oslo_aster.svg", copies = n) %>%
# add_fills(colors = oslo_colors) %>%
# image_scale(scale = sqrt(0.75 ^ (seq(0, n - 1)))) %>%
# image_spin(rpm = 1:n + 1) %>%
# add_background(color = "black", rounding = 1)
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("oslo_aster.svg")
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("animationsvg.gif")
## ----hypotrochoid, eval=remake-------------------------------------------
# spiro(
# fixed_radius = 3,
# cycling_radius = 1,
# pen_radius = 2,
# file = "hypotrochoid.svg")
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("hypotrochoid.svg")
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("negativeradius.gif")
## ----epitrochoid, eval=remake--------------------------------------------
# spiro(
# fixed_radius = 3,
# cycling_radius = -1,
# pen_radius = 2,
# file = "epitrochoid.svg")
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("epitrochoid.svg")
## ----root3a, eval=remake-------------------------------------------------
# spiro(
# fixed_radius = sqrt(3),
# cycling_radius = 1,
# windings = 14.7,
# file = "root3a.svg")
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("root3a.svg")
## ----root3b, eval=remake-------------------------------------------------
# spiro(
# fixed_radius = sqrt(3),
# cycling_radius = 1,
# windings = 35.495,
# file = "root3b.svg")
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("root3b.svg")
## ----epitrochoid_lines, eval = remake------------------------------------
# spiro(
# fixed_radius = 3,
# cycling_radius = -1,
# pen_radius = 2,
# draw_fills = FALSE,
# file = "epitrochoid_lines.svg")
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("epitrochoid_lines.svg")
## ----epitrochoid_add_lines, eval = remake--------------------------------
# spiro(
# fixed_radius = 3,
# cycling_radius = -1,
# pen_radius = 2,
# file = "epitrochoid_add_lines.svg"
# ) %>%
# add_lines(
# colors = "black",
# line_width = 4)
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("epitrochoid_add_lines.svg")
## ----six_points, eval = remake-------------------------------------------
# spiro(
# fixed_radius = 6,
# cycling_radius = 5,
# pen_radius = 5,
# color_groups = 2,
# file = "six_points.svg")
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("six_points.svg")
## ----six_points_blueblack, eval = remake---------------------------------
# spiro(
# fixed_radius = 6,
# cycling_radius = 5,
# pen_radius = 5,
# color_groups = 2,
# colors = c("blue", "black"),
# file = "six_points_blueblack.svg")
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("six_points_blueblack.svg")
## ----six_points_rainbow, eval = remake-----------------------------------
# spiro(
# fixed_radius = 6,
# cycling_radius = 5,
# pen_radius = 5,
# color_groups = 12,
# colors = rainbow(12),
# file = "six_points_rainbow.svg")
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("six_points_rainbow.svg")
## ----six_points_rainbow_3, eval = remake---------------------------------
# spiro(
# fixed_radius = 6,
# cycling_radius = 5,
# pen_radius = 5,
# color_groups = 12,
# colors = rainbow(12),
# color_cycles = 3,
# points_per_polygon = 80,
# file = "six_points_rainbow_3.svg")
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("six_points_rainbow_3.svg")
## ----blurry_checkers, eval = remake--------------------------------------
# spiro(
# fixed_radius = 121,
# cycling_radius = 100,
# pen_radius = 13,
# color_groups = 5,
# color_cycles = 1,
# points_per_polygon = 1000,
# transparency = .5,
# file = "blurry_checkers.svg"
# ) %>%
# add_background(color = "black")
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("blurry_checkers.svg")
## ----blurry_circles, eval = remake---------------------------------------
# spiro(
# fixed_radius = 121,
# cycling_radius = 100,
# pen_radius = 13,
# color_groups = 5,
# color_cycles = 200,
# points_per_polygon = 20,
# transparency = 0.5,
# file = "blurry_circles.svg"
# ) %>%
# add_background(color = "black")
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("blurry_circles.svg")
## ----rainbowspikes, eval = remake----------------------------------------
# rainbow_colors <- hsv(
# h = seq(1 / 16, 1, length.out = 16),
# s = 0.7,
# v = 0.7)
#
# spiro(
# fixed_radius = 16,
# cycling_radius = 5,
# pen_radius = 5,
# file = "rainbowspikes.svg",
# color_groups = 16,
# color_cycles = 2,
# points_per_polygon = 50,
# colors = rainbow_colors
# ) %>%
# add_background(color = "gray80")
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("rainbowspikes.svg")
## ----rainbowspikes_rounded, eval = remake--------------------------------
# spiro(
# fixed_radius = 16,
# cycling_radius = 5,
# pen_radius = 5,
# file = "rainbowspikes_rounded.svg",
# color_groups = 16,
# color_cycles = 2,
# points_per_polygon = 50,
# colors = rainbow_colors
# ) %>%
# add_background(color = "gray80", rounding = 0.1)
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("rainbowspikes_rounded.svg")
## ----blue_gem, eval=remake-----------------------------------------------
# spiro(
# fixed_radius = 21,
# cycling_radius = -20,
# pen_radius = 35,
# transparency = 1,
# colors = "black",
# file = "blue_gem.svg"
# ) %>%
# add_lines(colors = "white") %>%
# add_background_gradient(
# colors = c(
# rep(c("lightcyan2", "royalblue4"), 9),
# rep("white",2)),
# rounding = 1,
# radius = 1)
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("blue_gem.svg")
## ----rainbowspikesdonut, eval = remake-----------------------------------
# spiro(
# fixed_radius = 16,
# cycling_radius = 5,
# pen_radius = 5,
# file = "rainbowspikesdonut.svg",
# color_groups = 16,
# color_cycles = 2,
# points_per_polygon = 50,
# colors = rainbow_colors,
# transparency = 0.7
# ) %>%
# add_background_gradient(
# colors = c("white", "black", "black", "white"),
# stops = c(.27, .34, .93, 1),
# rounding = 1,
# radius = 1)
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("rainbowspikesdonut.svg")
## ---- eval = remake------------------------------------------------------
# spiro(
# fixed_radius = 3,
# cycling_radius = 1,
# colors = "royalblue",
# file = "deltoid_blue.svg")
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("deltoid_blue.svg")
## ---- eval = remake------------------------------------------------------
# spiro(
# fixed_radius = 3,
# cycling_radius = 1,
# rotation = 60 / 180 * pi,
# colors = "firebrick",
# file = "deltoid_red.svg")
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("deltoid_red.svg")
## ----deltoid_merge, eval = remake----------------------------------------
# image_merge(
# input = c("deltoid_blue.svg", "deltoid_red.svg"),
# output = "redblue.svg")
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("redblue.svg")
## ----dodgerblue_snowflake, eval = remake---------------------------------
# c(spiro(
# fixed_radius = 17,
# cycling_radius = 3,
# colors = "dodgerblue4"),
# spiro(
# fixed_radius = 17,
# cycling_radius = 4,
# colors = "white"),
# spiro(
# fixed_radius = 17,
# cycling_radius = 5,
# colors = "dodgerblue3"),
# spiro(
# fixed_radius = 17,
# cycling_radius = 6,
# colors = "white"),
# spiro(
# fixed_radius = 17,
# cycling_radius = 7,
# colors = "dodgerblue2"),
# spiro(
# fixed_radius = 17,
# cycling_radius = 8,
# colors = "white")) %>%
# image_merge(
# output = "dodgerblue_snowflake.svg",
# delete_input = TRUE)
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("dodgerblue_snowflake.svg")
## ---- eval=FALSE---------------------------------------------------------
# library(purrr)
# tibble::tibble(
# points_per_polygon = 1000,
# fixed_radius = 17,
# cycling_radius = 3:8,
# colors = c(
# "dodgerblue4", "white",
# "dodgerblue3", "white",
# "dodgerblue2", "white")
# ) %>%
# pmap_chr(spiro) %>%
# image_merge(
# output = "dodgerblue_snowflake.svg",
# delete_input = TRUE)
#
## ----heptagon_petals, eval = remake--------------------------------------
# spiro(
# fixed_radius = 7,
# cycling_radius = 1,
# pen_radius = 3,
# colors = "darkorchid",
# file = "heptagon_petals.svg"
# ) %>%
# image_scale(scale = 0.4)
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("heptagon_petals.svg")
## ----seven_loops, eval = remake------------------------------------------
# c(
# spiro(
# fixed_radius = 7,
# cycling_radius = -1,
# pen_radius = 3,
# colors = "darkorchid",
# ),
# spiro(
# fixed_radius = 7,
# cycling_radius = 1,
# pen_radius = 3,
# colors = "white",
# ) %>%
# image_scale(scale = 0.4)
# ) %>%
# image_merge(
# output = "heptagon_petals_merged.svg",
# delete_input = TRUE)
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("heptagon_petals_merged.svg")
## ----hsv_stripes, eval=remake--------------------------------------------
# hsv_s <- rep(c(1,0),10) + rep(c(-1,1),10) * seq(0.3,0.8,length.out = 20)
#
# spiro(
# fixed_radius = 6,
# cycling_radius = -1,
# pen_radius = 1,
# rotation = pi / 6,
# points_per_polygon = 500
# ) %>%
# image_merge(
# output = "hsv_stripes.svg",
# copies = 20,
# delete_input = TRUE
# ) %>%
# add_fills(
# colors = hsv(
# h = rep(seq(0,.90,0.1), 2),
# v = rep(c(0.4,.7),10),
# s = hsv_s)
# ) %>%
# image_scale(scale = seq(1, 0, length.out = 21)[-21]) %>%
# image_rotate(degrees = 0:19 * 5) %>%
# add_background(rounding = 1)
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("hsv_stripes.svg")
## ----rainbowsequence, eval = remake--------------------------------------
# k <- 9
# spiro(
# fixed_radius = 8,
# cycling_radius = 5,
# pen_radius = 2,
# draw_fills = F,
# colors = "black",
# line_width = 0.1
# ) %>%
# image_scale(0.8) %>%
# image_merge(
# output = "rainbowsequence.svg",
# copies = k,
# delete_input = TRUE
# ) %>%
# add_fills(colors = rainbow(k, alpha = .25)) %>%
# image_shift(
# x = seq(-1,1,length.out = k) * -60,
# y = seq(-1,1,length.out = k) * 15)
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("rainbowsequence.svg")
## ----purple, eval = remake-----------------------------------------------
# spiro(
# colors = "purple",
# fixed_radius = 16,
# cycling_radius = 15,
# pen_radius = 1.5,
# draw_fills = FALSE,
# line_width = 4,
# file = "purple.svg"
# )
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("purple.svg")
## ----black, eval = remake------------------------------------------------
# spiro(
# colors = "black",
# fixed_radius = 15,
# cycling_radius = 14,
# pen_radius = 1.5,
# draw_fills = FALSE,
# line_width = 4,
# file = "black.svg"
# )
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("black.svg")
## ----purple_cycle, eval = remake-----------------------------------------
# image_merge(
# input = c("purple.svg", "black.svg"),
# output = "purple_cycle.svg") %>%
# image_spin(rpm = c(0.5,-0.5)) %>%
# add_background(color = "black")
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("purple_cycle.svg")
## ----static, eval = remake-----------------------------------------------
# spiro(
# file = "Static.svg",
# fixed_radius = pi,
# cycling_radius = sqrt(8),
# pen_radius = 0.5 * sqrt(8) / pi ,
# windings = 81,
# start_angle = 0,
# points_per_polygon = 10000,
# transparency = 0.7
# )
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("Static.svg")
## ----SpinLeftRight, eval = remake----------------------------------------
# spiro(
# fixed_radius = pi,
# cycling_radius = sqrt(8),
# pen_radius = 0.5 * sqrt(8) / pi ,
# windings = 81,
# start_angle = 0,
# points_per_polygon = 10000,
# transparency = 0.7
# ) %>%
# image_merge(
# output = "SpinLeftRight.svg",
# copies = 2,
# delete_input = TRUE
# ) %>%
# image_spin(rpm = c(-0.1,0.1))
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("SpinLeftRight.svg")
## ----off_center, eval = remake-------------------------------------------
# spiro(
# fixed_radius = 5,
# cycling_radius = 3,
# pen_radius = 3 ,
# start_angle = 0,
# rotation = pi / 2,
# file = "off_center.svg"
# ) %>%
# image_spin(
# rpm = 5,
# rotation_point = c(0.5, 0.385),
# add_dot = TRUE
# )
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("off_center.svg")
## ----pathdot1, eval = remake---------------------------------------------
# spiro(
# fixed_radius = 5,
# cycling_radius = 1,
# pen_radius = 11 / 3,
# draw_fills = FALSE,
# rotation = pi / 10,
# file = "pathdot1.svg"
# ) %>%
# add_pathdot()
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("pathdot1.svg")
## ----pathdot5, eval = remake---------------------------------------------
# # Make Colors
# pathcolors <- scales::viridis_pal()(5)[c(4, 5, 1, 2, 3)]
#
# spiro(
# fixed_radius = 5,
# cycling_radius = 1,
# pen_radius = 11 / 3,
# start_angle = pi,
# color_groups = 5,
# draw_fills = FALSE,
# line_width = 10,
# rotation = pi / 10,
# file = "pathdot5.svg"
# ) %>%
# add_pathdot(
# colors = pathcolors,
# duration = 3)
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("pathdot5.svg")
## ----pathdot25, eval = remake--------------------------------------------
# spiro(
# fixed_radius = 5,
# cycling_radius = 1,
# pen_radius = 11 / 3,
# color_groups = 5,
# colors = rep("white", 5),
# start_angle = pi,
# draw_fills = FALSE,
# rotation = pi / 10,
# file = "pathdot25.svg", points_per_polygon = 250
# ) %>%
# add_pathdot(duration = 2) %>%
# add_pathdot(duration = 3) %>%
# add_pathdot(duration = 4) %>%
# add_pathdot(duration = 5) %>%
# add_pathdot(duration = 6)
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("pathdot25.svg")
## ----spiro_data, dev="svg", fig.width=7, fig.height=7, out.height='100%', out.width='100%'----
library(ggplot2)
library(dplyr)
d <- spiro(
fixed_radius = 37,
cycling_radius = 12 ,
pen_radius = 31,
color_groups = 6,
color_cycles = 6,
points_per_polygon = 1000,
savefile = FALSE
)
## ----spiro_ggplot2, dev="svg", fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
d %>%
mutate(color_id = factor(color_id),
color_cycle_id = factor(color_cycle_id)) %>%
ggplot(aes(x, y, color = color_cycle_id)) +
geom_path(lwd = 1) +
theme_void() +
theme(legend.position = "none") +
coord_equal()
## ----bezier, eval = FALSE------------------------------------------------
# string_bezier(
# file = "bezier.svg",
# color = c("red","green", "blue"),
# n = 75)
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("bezier.svg")
## ----bezier_sequence, eval = FALSE---------------------------------------
# string_bezier(
# file = "bezier_sequence.svg",
# x = c(-1, 1, 0,-1, 1,-1, 0, 1,-1, 1),
# y = c( 0, 0, 1, 0, 0, 0,-1, 0, 0, 0),
# color = c("#006B6B", "#FFFFFF", "black", "black", "black"),
# n = 200,
# lwd = 5,
# ljoin = 1
# ) %>%
# add_background(color = "#108998")
## ---- echo = F, fig.width=7, fig.height=7, out.width='100%', out.height='100%'----
knitr::include_graphics("bezier_sequence.svg")
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