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March 17, 2024 16:47
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Butterflies and Roses with Julia
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| ### A Pluto.jl notebook ### | |
| # v0.19.40 | |
| using Markdown | |
| using InteractiveUtils | |
| # This Pluto notebook uses @bind for interactivity. When running this notebook outside of Pluto, the following 'mock version' of @bind gives bound variables a default value (instead of an error). | |
| macro bind(def, element) | |
| quote | |
| local iv = try Base.loaded_modules[Base.PkgId(Base.UUID("6e696c72-6542-2067-7265-42206c756150"), "AbstractPlutoDingetjes")].Bonds.initial_value catch; b -> missing; end | |
| local el = $(esc(element)) | |
| global $(esc(def)) = Core.applicable(Base.get, el) ? Base.get(el) : iv(el) | |
| el | |
| end | |
| end | |
| # ╔═╡ b524c16c-db16-11ee-1ed3-915f24a7ee51 | |
| using Plots | |
| # ╔═╡ 735b6f78-1040-4186-895d-cdfd2bdf04c3 | |
| using PlutoUI | |
| # ╔═╡ a932a413-4b96-44a8-9cd9-e8a37ad6f67a | |
| using ColorSchemes | |
| # ╔═╡ 6704a128-c9ed-4cbc-a4a0-1c788a7108e7 | |
| md""" | |
| # Butterflies and Roses with Julia | |
| """ | |
| # ╔═╡ ba3041cc-fdd2-4652-9cd7-f0f26fddf4f2 | |
| md""" | |
| I recently came across [this tumblr post by Mathhombre](https://www.tumblr.com/mathhombre/742682152620130304/butterfly-curves) in which he had shared some beautiful plots he generated using Geogebra. Since it has been so long since I've tried anything with Julia, I thought of recreating some of those plots using Julia. Hence, this post. | |
| """ | |
| # ╔═╡ 8de9d895-1064-45a5-9098-94b9ab0c2c2c | |
| # plotly() | |
| gr() | |
| # ╔═╡ 90c84cfb-cead-4abc-a748-8e8167359808 | |
| md"### Butterflies" | |
| # ╔═╡ 45f4d10a-7612-4609-8174-a969ca7a14cf | |
| md"These plots are originally attributed to [Daniel Mentrard](https://www.geogebra.org/u/daniel+mentrard). He has a large collections of math geogebra projects. One of them is to plot butterflies using polar curves. It is an easy task to reproduce them in Julia. Refer to the $r(\theta)$ formula in the Julia code to find the corresponding equation for each of these plots." | |
| # ╔═╡ 133d4acf-4ea9-43a6-997f-9accc59efb28 | |
| md"#### Butterfly #1" | |
| # ╔═╡ 253e2768-156b-4a0a-b904-e7f4ebaf8f42 | |
| let | |
| r(θ) = 5sin(2θ) + 3cos(θ) | |
| rval = r.(0:0.01:2π) | |
| p = plot(r, 0:0.01:2π, | |
| proj=:polar, legend=false, linewidth=2, grid=:none, showaxis=false, | |
| linez=rval, c=:dracula, | |
| background_color = :transparent, size=(400,400)) | |
| # savefig(p, "butterfly_1.png"); | |
| end | |
| # ╔═╡ 4a30b065-db2f-4337-a04a-c71d1acc5cc4 | |
| md"#### Butterfly #2" | |
| # ╔═╡ dd7f680f-95a5-4e52-a9c6-5d08c36f70cb | |
| let | |
| r1(θ) = (sin(5θ) + 3cos(θ)) | |
| r2(θ) = (sin(5θ) - 3cos(θ)) | |
| r1val = r1.(0:0.01:2π) | |
| r2val = r2.(0:0.01:2π) | |
| p = plot(r1, 0:0.01:2π, proj=:polar, legend=false, linewidth=2, | |
| grid=:none, showaxis=false, | |
| linez=r1val, c=:dracula, | |
| background_color = :transparent, size=(400,400)); | |
| plot!(p, r2, 0:0.01:2π, proj=:polar, legend=false, linewidth=2, | |
| grid=:none, showaxis=false, | |
| linez=r2val, c=:dracula, | |
| background_color = :transparent, size=(400,400)) | |
| # savefig(p, "butterfly_2.png"); | |
| end | |
| # ╔═╡ cb728488-5688-471a-aae2-27a5ec28c3dc | |
| md"#### Butterfly #3" | |
| # ╔═╡ 33efa3eb-ee7f-470c-88c8-60d08d4f494c | |
| let | |
| r1(θ) = 3cos(θ) + sin(7θ) | |
| r2(θ) = -3cos(θ) + sin(7θ) | |
| r1val = r1.(0:0.01:2π) | |
| r2val = r2.(0:0.01:2π) | |
| p = plot(r1, 0:0.01:2π, proj=:polar, legend=false, linewidth=2, | |
| grid=:none, showaxis=false, | |
| linez=r1val, c=:dracula, | |
| background_color = :transparent, size=(400,400)); | |
| plot!(p, r2, 0:0.01:2π, proj=:polar, legend=false, linewidth=2, | |
| grid=:none, showaxis=false, | |
| linez=r2val, c=:dracula, | |
| background_color = :transparent, size=(400,400)) | |
| # savefig(p, "butterfly_3.png"); | |
| end | |
| # ╔═╡ 0c67ae79-2610-4195-9510-68a25cddec81 | |
| md"#### Butterfly #4" | |
| # ╔═╡ 76184113-ea5f-488e-bcb9-3e2b0a4a3158 | |
| let | |
| r(θ) = 2sin(2θ)+2cos(0.5θ) | |
| rval = r.(0:0.01:4π) | |
| p = plot(r, 0:0.01:4π, | |
| proj=:polar, legend=false, linewidth=2, grid=:none, showaxis=false, | |
| linez=rval, c=:dracula, | |
| background_color = :transparent, size=(400,400)) | |
| # savefig(p, "butterfly_4.png"); | |
| end | |
| # ╔═╡ d354b029-cbf0-4b0e-aceb-9dfbc829ee20 | |
| md"#### Butterfly #5" | |
| # ╔═╡ 88e26d47-7790-4552-b039-ffbdac93cdae | |
| let | |
| r(θ) = exp(-sin(θ)) - 2cos(4θ) + (sin((2θ-π)/24)^4) | |
| rval = r.(0:0.01:2π) | |
| plot(r, 0:0.01:2π, | |
| proj=:polar, legend=false, linewidth=2, grid=:none, showaxis=false, | |
| linez=rval, c=:dracula, | |
| background_color = :transparent, size=(400,400)) | |
| # savefig("butterfly_5.png") | |
| end | |
| # ╔═╡ 7d39f3d2-2960-4708-842f-365e2a0b07b3 | |
| md"#### Buttterfly #6" | |
| # ╔═╡ 1b843c00-ab15-4d2a-865c-639231f5ec3e | |
| let | |
| r(θ) = 1.6 + 1.1cos(2θ) + (sin(5θ)^3) | |
| rval = r.(0:0.01:2π) | |
| plot(r, 0:0.01:2π, | |
| proj=:polar, legend=false, linewidth=2, grid=:none, showaxis=false, | |
| linez=rval, c=:dracula, | |
| background_color = :transparent, size=(400,400)) | |
| # savefig("butterfly_6.png") | |
| end | |
| # ╔═╡ 56dedd44-4811-41b9-8a5a-5431dceb6b1e | |
| md"#### Butterfly #7" | |
| # ╔═╡ 30f92721-754a-4bc3-8df8-409fd756393d | |
| let | |
| r(θ) = exp(sin(θ)-2cos(4θ)) | |
| rval = r.(0:0.01:2π) | |
| plot(r, 0:0.01:2π, | |
| proj=:polar, legend=false, linewidth=2, grid=:none, showaxis=false, | |
| linez=rval, c=:dracula, | |
| background_color = :transparent, size=(400,400)) | |
| # savefig("butterfly_7.png") | |
| end | |
| # ╔═╡ d55c3dcc-6354-4246-955c-9b8802513038 | |
| md"#### Butterfly #8" | |
| # ╔═╡ 6d754c24-3fb3-4574-bc77-fa7c324f738a | |
| let | |
| r(θ) = exp(cos(θ)) - 2cos(4θ) + (sin(θ/12)^7) | |
| rval = r.(0:0.01:2π) | |
| plot(r, 0:0.01:2π, | |
| proj=:polar, legend=false, linewidth=2, grid=:none, showaxis=false, | |
| linez=rval, c=:dracula, | |
| background_color = :transparent, size=(400,400)) | |
| # savefig("butterfly_8.png") | |
| end | |
| # ╔═╡ 803fb40f-036d-4b37-ad22-8a41871cf7eb | |
| md"#### Butterfly #9" | |
| # ╔═╡ 340eac27-b7d0-414d-97e6-eeeefec69e15 | |
| md"The following butterfly is attributed to mathhombre from tumblr." | |
| # ╔═╡ c44b6d2f-bfe4-41e4-a772-33299b760d74 | |
| let | |
| a = -2 | |
| b = 2 | |
| c = 1 | |
| d = 4 | |
| K = -2.8 | |
| r1(θ) = a*sin(b*θ) + c*sin(d*θ) + K | |
| r2(θ) = a*cos(b*θ) + c*sin(d*θ) + K | |
| r1val = r1.(0:0.01:20π) | |
| r2val = r2.(0:0.01:20π) | |
| p = plot(r1, 0:0.01:20π, proj=:polar, legend=false, linewidth=2, | |
| grid=:none, showaxis=false, lims=(-1,4), | |
| linez=r1val, c=:dracula, | |
| background_color = :transparent, size=(400,400)); | |
| plot!(p, r2, 0:0.01:20π, proj=:polar, legend=false, linewidth=2, | |
| grid=:none, showaxis=false, lims=(-1,4), | |
| linez=r2val, c=:dracula,aspectratio=:equal, | |
| background_color = :transparent, size=(400,400)) | |
| # savefig("butterfly_9.png") | |
| end | |
| # ╔═╡ ce4e7a69-d2f8-4b51-8989-52a9983fd178 | |
| md"## Roses" | |
| # ╔═╡ 24954f47-43b0-44c6-b4b0-9735f9a8f951 | |
| md"""While plotting the buttefly wasn't difficult, plotting the roses are even easier, thanks to `Pluto.jl`'s support for HTML slider objects being binded to variable. Hence, the equations, | |
| ```math | |
| r_1(\theta) = a\sin(b\theta) + csin(d\theta) + K | |
| ``` | |
| ```math | |
| r_2(\theta) = a\cos(b\theta) + csin(d\theta) + K | |
| ``` | |
| with parameters $a,b,c,d,K$ were easier to set. Here are some beautiful flowers rendered with Julia and gr plot backend.""" | |
| # ╔═╡ 49cc8a36-2df8-4ad8-b96c-2d85f9061e36 | |
| md"#### Rose #1" | |
| # ╔═╡ 230faca2-f5fe-4d03-8fe3-f88e3fd33921 | |
| let | |
| r(θ) = 4sin(-3.2θ) + 3.9 | |
| rval = r.(0:0.01:10π) | |
| plot(r, 0:0.01:10π, proj= :polar, legend=false,linewidth=1, | |
| mode="lines", axis=false, grid=:none, | |
| aspectratio=:equal, lims=:auto, | |
| linez=rval, | |
| c=cgrad(:buda,rev=true), | |
| background_color = :transparent, size=(400,400)) | |
| # savefig("rose_1.png") | |
| end | |
| # ╔═╡ 5a6af14a-69e3-4806-9a4d-e5c73df1340b | |
| md"#### Rose #2" | |
| # ╔═╡ 3a2fd51a-b21c-4b43-99de-310806b1fedc | |
| let | |
| r(θ) = 3.3sin(3.3θ) + 0.6 | |
| rval = r.(0:0.01:30π) | |
| plot(r, 0:0.01:30π, | |
| proj=:polar, legend=false, linewidth=2, grid=:none, showaxis=false, | |
| linez=range(minimum(rval),stop=maximum(rval),length=length(rval)), c=:PuRd_8, | |
| background_color = :transparent, size=(400,400)) | |
| # savefig("rose_2.png") | |
| end | |
| # ╔═╡ 18f752ed-6f37-4739-a212-85b3d2e86224 | |
| md"#### Rose #3" | |
| # ╔═╡ f46931aa-16a9-423d-97d2-116846272722 | |
| let | |
| a = -2 | |
| b = 2.9 | |
| c = 3 | |
| d = 4 | |
| K = 0 | |
| r1(θ) = a*sin(b*θ) + c*sin(d*θ) + K | |
| r2(θ) = a*cos(b*θ) + c*sin(d*θ) + K | |
| r1val = r1.(0:0.01:20π) | |
| r2val = r2.(0:0.01:20π) | |
| p = plot(r1, 0:0.01:20π, proj=:polar, legend=false, linewidth=1, | |
| grid=:none, showaxis=false, | |
| c=:spring,aspectratio=:equal, | |
| background_color = :transparent, size=(400,400)); | |
| plot!(p, r2, 0:0.01:20π, proj=:polar, legend=false, linewidth=1, | |
| grid=:none, showaxis=false, | |
| c=:red,aspectratio=:equal, | |
| background_color = :transparent, size=(400,400)) | |
| # savefig("rose_3.png") | |
| end | |
| # ╔═╡ 49aa2595-d54b-4dc7-8783-89a399f585ed | |
| md"#### Rose #4" | |
| # ╔═╡ adf491bb-a90c-48db-bd62-0f8a13e919b2 | |
| let | |
| a = -1 | |
| b = 0.777 | |
| c = 2 | |
| d = 3.5 | |
| K = 3. | |
| r1(θ) = a*sin(b*θ) + c*sin(d*θ) + K | |
| r2(θ) = a*cos(b*θ) + c*sin(d*θ) + K | |
| theta = 0:0.01:33π | |
| r1val = r1.(theta) | |
| r2val = r2.(theta) | |
| p = plot(r1, theta, proj=:polar, legend=false, linewidth=1, | |
| grid=:none, showaxis=false, | |
| c=:spring,aspectratio=:equal, | |
| background_color = :transparent, size=(400,400)); | |
| plot!(p, r2, theta, proj=:polar, legend=false, linewidth=1, | |
| grid=:none, showaxis=false, | |
| c=:red,aspectratio=:equal, | |
| background_color = :transparent, size=(400,400)) | |
| # savefig("rose_4.png") | |
| end | |
| # ╔═╡ 4451158f-b873-43f1-bfa4-2dc710f3ac6a | |
| md"""#### Rose #∞ | |
| The following sliders (needs Pluto.jl) can be used to generate different flowers based on the parameters. You can try it out generate multiple unique ones!""" | |
| # ╔═╡ e073c55f-7f61-4a7a-9c37-f125a289cadc | |
| @bind a Slider(-4:0.1:4, default=-2, show_value=true) | |
| # ╔═╡ e7f8ec30-c98f-4d80-8198-66e54ee39c94 | |
| @bind b Slider(-4:0.1:4, default=2, show_value=true) | |
| # ╔═╡ 02576584-c168-4d50-9f28-7076f43754a5 | |
| @bind c Slider(-4:0.1:4, default=2, show_value=true) | |
| # ╔═╡ aa752202-aa11-4981-b59f-4b10eca7f14e | |
| @bind d Slider(-4:0.1:4, default=2, show_value=true) | |
| # ╔═╡ f50caffc-d98b-483c-9ba0-f412ac2039c1 | |
| @bind K Slider(-4:0.1:4, default=-3.5, show_value=true) | |
| # ╔═╡ 2c6d2853-9aa6-4854-a05d-8ef318102458 | |
| let | |
| theta = 0:0.01:10π | |
| r₁(θ) = a*sin(b*θ) + c*sin(d*θ) + K | |
| r₂(θ) = a*cos(b*θ) + c*sin(d*θ) + K | |
| r1val = r₁.(theta) | |
| r2val = r₂.(theta) | |
| p = plot(r₁, theta, proj= :polar, legend=false,linewidth=1, | |
| mode="lines", axis=false, grid=:none, | |
| aspectratio=:equal, lims=:auto, | |
| linez=r1val, | |
| c=cgrad(:buda,rev=true)) | |
| plot!(p, r₂, theta, proj= :polar, legend=false,linewidth=1, mode="lines", | |
| aspectratio=:equal, axis=false, grid=:none, background_color = :transparent, | |
| linez=r2val, | |
| c=:twilight) | |
| end | |
| # ╔═╡ f08d5ac3-9a6c-409a-a981-a94a980d061e | |
| md"Further, the colorschemes I've used are all selected from the catalogue in [Julia plot color schemes](https://docs.juliaplots.org/latest/generated/colorschemes/#scientific) or [Named colors](https://juliagraphics.github.io/Colors.jl/stable/namedcolors/). I also tried using plotly backend but it was having some issue. Hence, I am using GR backend. " | |
| # ╔═╡ 00000000-0000-0000-0000-000000000001 | |
| PLUTO_PROJECT_TOML_CONTENTS = """ | |
| [deps] | |
| ColorSchemes = "35d6a980-a343-548e-a6ea-1d62b119f2f4" | |
| Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80" | |
| PlutoUI = "7f904dfe-b85e-4ff6-b463-dae2292396a8" | |
| [compat] | |
| ColorSchemes = "~3.24.0" | |
| Plots = "~1.39.0" | |
| PlutoUI = "~0.7.58" | |
| """ | |
| # ╔═╡ 00000000-0000-0000-0000-000000000002 | |
| PLUTO_MANIFEST_TOML_CONTENTS = """ | |
| # This file is machine-generated - editing it directly is not advised | |
| julia_version = "1.9.3" | |
| manifest_format = "2.0" | |
| project_hash = "e7dbf2e495bbe3f262c8cbf2e07b9cb7d960cc48" | |
| [[deps.AbstractPlutoDingetjes]] | |
| deps = ["Pkg"] | |
| git-tree-sha1 = "0f748c81756f2e5e6854298f11ad8b2dfae6911a" | |
| uuid = "6e696c72-6542-2067-7265-42206c756150" | |
| version = "1.3.0" | |
| [[deps.ArgTools]] | |
| uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f" | |
| version = "1.1.1" | |
| [[deps.Artifacts]] | |
| uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33" | |
| [[deps.Base64]] | |
| uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f" | |
| [[deps.BitFlags]] | |
| git-tree-sha1 = "2dc09997850d68179b69dafb58ae806167a32b1b" | |
| uuid = "d1d4a3ce-64b1-5f1a-9ba4-7e7e69966f35" | |
| version = "0.1.8" | |
| [[deps.Bzip2_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "9e2a6b69137e6969bab0152632dcb3bc108c8bdd" | |
| uuid = "6e34b625-4abd-537c-b88f-471c36dfa7a0" | |
| version = "1.0.8+1" | |
| [[deps.Cairo_jll]] | |
| deps = ["Artifacts", "Bzip2_jll", "CompilerSupportLibraries_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "JLLWrappers", "LZO_jll", "Libdl", "Pixman_jll", "Pkg", "Xorg_libXext_jll", "Xorg_libXrender_jll", "Zlib_jll", "libpng_jll"] | |
| git-tree-sha1 = "4b859a208b2397a7a623a03449e4636bdb17bcf2" | |
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| version = "1.16.1+1" | |
| [[deps.CodecZlib]] | |
| deps = ["TranscodingStreams", "Zlib_jll"] | |
| git-tree-sha1 = "59939d8a997469ee05c4b4944560a820f9ba0d73" | |
| uuid = "944b1d66-785c-5afd-91f1-9de20f533193" | |
| version = "0.7.4" | |
| [[deps.ColorSchemes]] | |
| deps = ["ColorTypes", "ColorVectorSpace", "Colors", "FixedPointNumbers", "PrecompileTools", "Random"] | |
| git-tree-sha1 = "67c1f244b991cad9b0aa4b7540fb758c2488b129" | |
| uuid = "35d6a980-a343-548e-a6ea-1d62b119f2f4" | |
| version = "3.24.0" | |
| [[deps.ColorTypes]] | |
| deps = ["FixedPointNumbers", "Random"] | |
| git-tree-sha1 = "eb7f0f8307f71fac7c606984ea5fb2817275d6e4" | |
| uuid = "3da002f7-5984-5a60-b8a6-cbb66c0b333f" | |
| version = "0.11.4" | |
| [[deps.ColorVectorSpace]] | |
| deps = ["ColorTypes", "FixedPointNumbers", "LinearAlgebra", "Requires", "Statistics", "TensorCore"] | |
| git-tree-sha1 = "a1f44953f2382ebb937d60dafbe2deea4bd23249" | |
| uuid = "c3611d14-8923-5661-9e6a-0046d554d3a4" | |
| version = "0.10.0" | |
| [deps.ColorVectorSpace.extensions] | |
| SpecialFunctionsExt = "SpecialFunctions" | |
| [deps.ColorVectorSpace.weakdeps] | |
| SpecialFunctions = "276daf66-3868-5448-9aa4-cd146d93841b" | |
| [[deps.Colors]] | |
| deps = ["ColorTypes", "FixedPointNumbers", "Reexport"] | |
| git-tree-sha1 = "fc08e5930ee9a4e03f84bfb5211cb54e7769758a" | |
| uuid = "5ae59095-9a9b-59fe-a467-6f913c188581" | |
| version = "0.12.10" | |
| [[deps.Compat]] | |
| deps = ["TOML", "UUIDs"] | |
| git-tree-sha1 = "c955881e3c981181362ae4088b35995446298b80" | |
| uuid = "34da2185-b29b-5c13-b0c7-acf172513d20" | |
| version = "4.14.0" | |
| weakdeps = ["Dates", "LinearAlgebra"] | |
| [deps.Compat.extensions] | |
| CompatLinearAlgebraExt = "LinearAlgebra" | |
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| git-tree-sha1 = "6035850dcc70518ca32f012e46015b9beeda49d8" | |
| uuid = "0c0b7dd1-d40b-584c-a123-a41640f87eec" | |
| version = "1.0.11+0" | |
| [[deps.Xorg_libXcursor_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXfixes_jll", "Xorg_libXrender_jll"] | |
| git-tree-sha1 = "12e0eb3bc634fa2080c1c37fccf56f7c22989afd" | |
| uuid = "935fb764-8cf2-53bf-bb30-45bb1f8bf724" | |
| version = "1.2.0+4" | |
| [[deps.Xorg_libXdmcp_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl"] | |
| git-tree-sha1 = "34d526d318358a859d7de23da945578e8e8727b7" | |
| uuid = "a3789734-cfe1-5b06-b2d0-1dd0d9d62d05" | |
| version = "1.1.4+0" | |
| [[deps.Xorg_libXext_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"] | |
| git-tree-sha1 = "b7c0aa8c376b31e4852b360222848637f481f8c3" | |
| uuid = "1082639a-0dae-5f34-9b06-72781eeb8cb3" | |
| version = "1.3.4+4" | |
| [[deps.Xorg_libXfixes_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"] | |
| git-tree-sha1 = "0e0dc7431e7a0587559f9294aeec269471c991a4" | |
| uuid = "d091e8ba-531a-589c-9de9-94069b037ed8" | |
| version = "5.0.3+4" | |
| [[deps.Xorg_libXi_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll", "Xorg_libXfixes_jll"] | |
| git-tree-sha1 = "89b52bc2160aadc84d707093930ef0bffa641246" | |
| uuid = "a51aa0fd-4e3c-5386-b890-e753decda492" | |
| version = "1.7.10+4" | |
| [[deps.Xorg_libXinerama_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll"] | |
| git-tree-sha1 = "26be8b1c342929259317d8b9f7b53bf2bb73b123" | |
| uuid = "d1454406-59df-5ea1-beac-c340f2130bc3" | |
| version = "1.1.4+4" | |
| [[deps.Xorg_libXrandr_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll", "Xorg_libXrender_jll"] | |
| git-tree-sha1 = "34cea83cb726fb58f325887bf0612c6b3fb17631" | |
| uuid = "ec84b674-ba8e-5d96-8ba1-2a689ba10484" | |
| version = "1.5.2+4" | |
| [[deps.Xorg_libXrender_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"] | |
| git-tree-sha1 = "19560f30fd49f4d4efbe7002a1037f8c43d43b96" | |
| uuid = "ea2f1a96-1ddc-540d-b46f-429655e07cfa" | |
| version = "0.9.10+4" | |
| [[deps.Xorg_libpthread_stubs_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl"] | |
| git-tree-sha1 = "8fdda4c692503d44d04a0603d9ac0982054635f9" | |
| uuid = "14d82f49-176c-5ed1-bb49-ad3f5cbd8c74" | |
| version = "0.1.1+0" | |
| [[deps.Xorg_libxcb_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "XSLT_jll", "Xorg_libXau_jll", "Xorg_libXdmcp_jll", "Xorg_libpthread_stubs_jll"] | |
| git-tree-sha1 = "b4bfde5d5b652e22b9c790ad00af08b6d042b97d" | |
| uuid = "c7cfdc94-dc32-55de-ac96-5a1b8d977c5b" | |
| version = "1.15.0+0" | |
| [[deps.Xorg_libxkbfile_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libX11_jll"] | |
| git-tree-sha1 = "730eeca102434283c50ccf7d1ecdadf521a765a4" | |
| uuid = "cc61e674-0454-545c-8b26-ed2c68acab7a" | |
| version = "1.1.2+0" | |
| [[deps.Xorg_xcb_util_cursor_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_xcb_util_image_jll", "Xorg_xcb_util_jll", "Xorg_xcb_util_renderutil_jll"] | |
| git-tree-sha1 = "04341cb870f29dcd5e39055f895c39d016e18ccd" | |
| uuid = "e920d4aa-a673-5f3a-b3d7-f755a4d47c43" | |
| version = "0.1.4+0" | |
| [[deps.Xorg_xcb_util_image_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"] | |
| git-tree-sha1 = "0fab0a40349ba1cba2c1da699243396ff8e94b97" | |
| uuid = "12413925-8142-5f55-bb0e-6d7ca50bb09b" | |
| version = "0.4.0+1" | |
| [[deps.Xorg_xcb_util_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxcb_jll"] | |
| git-tree-sha1 = "e7fd7b2881fa2eaa72717420894d3938177862d1" | |
| uuid = "2def613f-5ad1-5310-b15b-b15d46f528f5" | |
| version = "0.4.0+1" | |
| [[deps.Xorg_xcb_util_keysyms_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"] | |
| git-tree-sha1 = "d1151e2c45a544f32441a567d1690e701ec89b00" | |
| uuid = "975044d2-76e6-5fbe-bf08-97ce7c6574c7" | |
| version = "0.4.0+1" | |
| [[deps.Xorg_xcb_util_renderutil_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"] | |
| git-tree-sha1 = "dfd7a8f38d4613b6a575253b3174dd991ca6183e" | |
| uuid = "0d47668e-0667-5a69-a72c-f761630bfb7e" | |
| version = "0.3.9+1" | |
| [[deps.Xorg_xcb_util_wm_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"] | |
| git-tree-sha1 = "e78d10aab01a4a154142c5006ed44fd9e8e31b67" | |
| uuid = "c22f9ab0-d5fe-5066-847c-f4bb1cd4e361" | |
| version = "0.4.1+1" | |
| [[deps.Xorg_xkbcomp_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libxkbfile_jll"] | |
| git-tree-sha1 = "330f955bc41bb8f5270a369c473fc4a5a4e4d3cb" | |
| uuid = "35661453-b289-5fab-8a00-3d9160c6a3a4" | |
| version = "1.4.6+0" | |
| [[deps.Xorg_xkeyboard_config_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_xkbcomp_jll"] | |
| git-tree-sha1 = "691634e5453ad362044e2ad653e79f3ee3bb98c3" | |
| uuid = "33bec58e-1273-512f-9401-5d533626f822" | |
| version = "2.39.0+0" | |
| [[deps.Xorg_xtrans_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl"] | |
| git-tree-sha1 = "e92a1a012a10506618f10b7047e478403a046c77" | |
| uuid = "c5fb5394-a638-5e4d-96e5-b29de1b5cf10" | |
| version = "1.5.0+0" | |
| [[deps.Zlib_jll]] | |
| deps = ["Libdl"] | |
| uuid = "83775a58-1f1d-513f-b197-d71354ab007a" | |
| version = "1.2.13+0" | |
| [[deps.Zstd_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl"] | |
| git-tree-sha1 = "49ce682769cd5de6c72dcf1b94ed7790cd08974c" | |
| uuid = "3161d3a3-bdf6-5164-811a-617609db77b4" | |
| version = "1.5.5+0" | |
| [[deps.eudev_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "gperf_jll"] | |
| git-tree-sha1 = "431b678a28ebb559d224c0b6b6d01afce87c51ba" | |
| uuid = "35ca27e7-8b34-5b7f-bca9-bdc33f59eb06" | |
| version = "3.2.9+0" | |
| [[deps.fzf_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl"] | |
| git-tree-sha1 = "a68c9655fbe6dfcab3d972808f1aafec151ce3f8" | |
| uuid = "214eeab7-80f7-51ab-84ad-2988db7cef09" | |
| version = "0.43.0+0" | |
| [[deps.gperf_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "3516a5630f741c9eecb3720b1ec9d8edc3ecc033" | |
| uuid = "1a1c6b14-54f6-533d-8383-74cd7377aa70" | |
| version = "3.1.1+0" | |
| [[deps.libaom_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "3a2ea60308f0996d26f1e5354e10c24e9ef905d4" | |
| uuid = "a4ae2306-e953-59d6-aa16-d00cac43593b" | |
| version = "3.4.0+0" | |
| [[deps.libass_jll]] | |
| deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"] | |
| git-tree-sha1 = "5982a94fcba20f02f42ace44b9894ee2b140fe47" | |
| uuid = "0ac62f75-1d6f-5e53-bd7c-93b484bb37c0" | |
| version = "0.15.1+0" | |
| [[deps.libblastrampoline_jll]] | |
| deps = ["Artifacts", "Libdl"] | |
| uuid = "8e850b90-86db-534c-a0d3-1478176c7d93" | |
| version = "5.8.0+0" | |
| [[deps.libevdev_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "141fe65dc3efabb0b1d5ba74e91f6ad26f84cc22" | |
| uuid = "2db6ffa8-e38f-5e21-84af-90c45d0032cc" | |
| version = "1.11.0+0" | |
| [[deps.libfdk_aac_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "daacc84a041563f965be61859a36e17c4e4fcd55" | |
| uuid = "f638f0a6-7fb0-5443-88ba-1cc74229b280" | |
| version = "2.0.2+0" | |
| [[deps.libinput_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "eudev_jll", "libevdev_jll", "mtdev_jll"] | |
| git-tree-sha1 = "ad50e5b90f222cfe78aa3d5183a20a12de1322ce" | |
| uuid = "36db933b-70db-51c0-b978-0f229ee0e533" | |
| version = "1.18.0+0" | |
| [[deps.libpng_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Zlib_jll"] | |
| git-tree-sha1 = "1ea2ebe8ffa31f9c324e8c1d6e86b4165b84a024" | |
| uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f" | |
| version = "1.6.43+0" | |
| [[deps.libvorbis_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Ogg_jll", "Pkg"] | |
| git-tree-sha1 = "b910cb81ef3fe6e78bf6acee440bda86fd6ae00c" | |
| uuid = "f27f6e37-5d2b-51aa-960f-b287f2bc3b7a" | |
| version = "1.3.7+1" | |
| [[deps.mtdev_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "814e154bdb7be91d78b6802843f76b6ece642f11" | |
| uuid = "009596ad-96f7-51b1-9f1b-5ce2d5e8a71e" | |
| version = "1.1.6+0" | |
| [[deps.nghttp2_jll]] | |
| deps = ["Artifacts", "Libdl"] | |
| uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d" | |
| version = "1.48.0+0" | |
| [[deps.p7zip_jll]] | |
| deps = ["Artifacts", "Libdl"] | |
| uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0" | |
| version = "17.4.0+0" | |
| [[deps.x264_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "4fea590b89e6ec504593146bf8b988b2c00922b2" | |
| uuid = "1270edf5-f2f9-52d2-97e9-ab00b5d0237a" | |
| version = "2021.5.5+0" | |
| [[deps.x265_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "ee567a171cce03570d77ad3a43e90218e38937a9" | |
| uuid = "dfaa095f-4041-5dcd-9319-2fabd8486b76" | |
| version = "3.5.0+0" | |
| [[deps.xkbcommon_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Wayland_jll", "Wayland_protocols_jll", "Xorg_libxcb_jll", "Xorg_xkeyboard_config_jll"] | |
| git-tree-sha1 = "9c304562909ab2bab0262639bd4f444d7bc2be37" | |
| uuid = "d8fb68d0-12a3-5cfd-a85a-d49703b185fd" | |
| version = "1.4.1+1" | |
| """ | |
| # ╔═╡ Cell order: | |
| # ╟─6704a128-c9ed-4cbc-a4a0-1c788a7108e7 | |
| # ╟─ba3041cc-fdd2-4652-9cd7-f0f26fddf4f2 | |
| # ╠═b524c16c-db16-11ee-1ed3-915f24a7ee51 | |
| # ╠═735b6f78-1040-4186-895d-cdfd2bdf04c3 | |
| # ╠═a932a413-4b96-44a8-9cd9-e8a37ad6f67a | |
| # ╠═8de9d895-1064-45a5-9098-94b9ab0c2c2c | |
| # ╟─90c84cfb-cead-4abc-a748-8e8167359808 | |
| # ╟─45f4d10a-7612-4609-8174-a969ca7a14cf | |
| # ╟─133d4acf-4ea9-43a6-997f-9accc59efb28 | |
| # ╠═253e2768-156b-4a0a-b904-e7f4ebaf8f42 | |
| # ╟─4a30b065-db2f-4337-a04a-c71d1acc5cc4 | |
| # ╠═dd7f680f-95a5-4e52-a9c6-5d08c36f70cb | |
| # ╟─cb728488-5688-471a-aae2-27a5ec28c3dc | |
| # ╠═33efa3eb-ee7f-470c-88c8-60d08d4f494c | |
| # ╟─0c67ae79-2610-4195-9510-68a25cddec81 | |
| # ╠═76184113-ea5f-488e-bcb9-3e2b0a4a3158 | |
| # ╟─d354b029-cbf0-4b0e-aceb-9dfbc829ee20 | |
| # ╠═88e26d47-7790-4552-b039-ffbdac93cdae | |
| # ╟─7d39f3d2-2960-4708-842f-365e2a0b07b3 | |
| # ╠═1b843c00-ab15-4d2a-865c-639231f5ec3e | |
| # ╟─56dedd44-4811-41b9-8a5a-5431dceb6b1e | |
| # ╠═30f92721-754a-4bc3-8df8-409fd756393d | |
| # ╟─d55c3dcc-6354-4246-955c-9b8802513038 | |
| # ╠═6d754c24-3fb3-4574-bc77-fa7c324f738a | |
| # ╟─803fb40f-036d-4b37-ad22-8a41871cf7eb | |
| # ╟─340eac27-b7d0-414d-97e6-eeeefec69e15 | |
| # ╠═c44b6d2f-bfe4-41e4-a772-33299b760d74 | |
| # ╟─ce4e7a69-d2f8-4b51-8989-52a9983fd178 | |
| # ╟─24954f47-43b0-44c6-b4b0-9735f9a8f951 | |
| # ╟─49cc8a36-2df8-4ad8-b96c-2d85f9061e36 | |
| # ╠═230faca2-f5fe-4d03-8fe3-f88e3fd33921 | |
| # ╟─5a6af14a-69e3-4806-9a4d-e5c73df1340b | |
| # ╠═3a2fd51a-b21c-4b43-99de-310806b1fedc | |
| # ╟─18f752ed-6f37-4739-a212-85b3d2e86224 | |
| # ╠═f46931aa-16a9-423d-97d2-116846272722 | |
| # ╟─49aa2595-d54b-4dc7-8783-89a399f585ed | |
| # ╠═adf491bb-a90c-48db-bd62-0f8a13e919b2 | |
| # ╟─4451158f-b873-43f1-bfa4-2dc710f3ac6a | |
| # ╠═e073c55f-7f61-4a7a-9c37-f125a289cadc | |
| # ╠═e7f8ec30-c98f-4d80-8198-66e54ee39c94 | |
| # ╠═02576584-c168-4d50-9f28-7076f43754a5 | |
| # ╠═aa752202-aa11-4981-b59f-4b10eca7f14e | |
| # ╠═f50caffc-d98b-483c-9ba0-f412ac2039c1 | |
| # ╠═2c6d2853-9aa6-4854-a05d-8ef318102458 | |
| # ╟─f08d5ac3-9a6c-409a-a981-a94a980d061e | |
| # ╟─00000000-0000-0000-0000-000000000001 | |
| # ╟─00000000-0000-0000-0000-000000000002 |
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