2021-12-28-snow.jl

### A Pluto.jl notebook ###
# v0.17.3

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

# ╔═╡ cb876e86-1181-43f9-90e5-48d8dc643fb9
using Luxor, PlutoUI, Colors

# ╔═╡ 3faf2bd4-681a-11ec-3404-739438ac1077
md"# Snowflakes with turtle graphics
"

# ╔═╡ 4ad9ffcd-4cb2-4ba1-ab1c-59bfbd15687e
# set width and height of drawing / or movie
w,h = 800, 600

# ╔═╡ 9f77382b-bb02-44e5-9126-d0337c2cda43
#@bind snow Clock()
@bind snow Button("Click me to make a snowflake!")

# ╔═╡ d7e5c554-77a5-4c9a-b1a2-46c4effe5cd6
@bind snowMovie Button("Click me to make a gif!")

# ╔═╡ a879127d-7925-40c7-a536-460e6d3f3adb
bang = Movie(w, h, "bang")

# ╔═╡ 43baa8c1-fe49-4fed-8192-748fa221a8e1
"""
Draw a snowflake using 6 turtles with `Luxor.jl`

The all do the same thing, just heading out in 60º degree spacing
"""
function drawSnowFlake(x,y, color)

	allTurtles = [Turtle(x,y, true, α, color) for α in π/6:π/3:2π]
	
	setopacity(0.8)
	setline(3)
	
	useHex = rand([true, false], 1)[1];
	nSteps = 30
	allPaces = 6 .* [5, 10, 20]./nSteps
	allSizes = 10 .* [0.1,1,2,4, 10, 20]./nSteps
		
		for i in 1:nSteps
		
		pace = rand(allPaces,1)[1]
		b = rand([true, false], 1)[1]
		s = rand(allSizes)[1]
	    for turtle in allTurtles
	        HueShift(turtle, rand())
	        Forward(turtle, pace)
			if b
				if useHex
					p = Point(turtle.xpos, turtle.ypos)
					ngon(p, s, 6, 0, :fill)
				else
					Circle(turtle, s)
				end
			end
	    end
	end
end

# ╔═╡ d12f37ff-4c2a-41d9-8897-36b4c48b62f0
begin
	snow # make it reactive
	Drawing(w, h, "turtles.png")
	origin(0,0)
	background("black")
	snowColor = (1.0, 1.0, 1.0)
	#set up a hex grid
	radius = 100
	grid = GridHex(O, radius, maximum([w,h]))
	nFlakes = Int64.(ceil(prod([w,h] ./ radius)))

	for iP in 1:nFlakes
		p = nextgridpoint(grid)	
		drawSnowFlake(p.x, p.y, snowColor)
	end
	finish()
	preview()
end

# ╔═╡ 3197c8b9-1185-4896-b5cd-96db23d71f86
function aFrame(scene, framenumber)
	origin(0,0)
	background("black")
	snowColor = (1.0, 1.0, 1.0)
	#set up a hex grid
	radius = 100
	grid = GridHex(O, radius, maximum([w,h]))
	nFlakes = Int64.(ceil(prod([w,h] ./ radius)))

	for iP in 1:nFlakes
		p = nextgridpoint(grid)	
		drawSnowFlake(p.x, p.y, snowColor)
	end
end

# ╔═╡ 9e64245d-d361-4a72-a63c-a06ac0ead739
begin
	snowMovie
	
	animate(bang, [
      Scene(bang, aFrame, 0:10, easingfunction=easeinsine)
	],
      creategif=true,
	framerate = 5;
      pathname="animationtest.gif")

	
end

# ╔═╡ 49db3f90-5955-44fc-bd8a-fdf45bade61d
"""
Draw branches of ice crystals... not yet implemented

idea: - add symmetric branches (mirrored, scale = -1)
      - make recursive to make structure more interesting.

"""
function addBranches(turtle)
	# place holder for code that adds icycle branches at 30,60º angles at
	# a given branch point. 
	#
	# idea: can also make this recursive!
end

# ╔═╡ 00000000-0000-0000-0000-000000000001
PLUTO_PROJECT_TOML_CONTENTS = """
[deps]
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[compat]
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Luxor = "~2.18.0"
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"""

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version = "0.40.1+0"

[[Pkg]]
deps = ["Artifacts", "Dates", "Downloads", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "Serialization", "TOML", "Tar", "UUIDs", "p7zip_jll"]
uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"

[[PlutoUI]]
deps = ["AbstractPlutoDingetjes", "Base64", "ColorTypes", "Dates", "Hyperscript", "HypertextLiteral", "IOCapture", "InteractiveUtils", "JSON", "Logging", "Markdown", "Random", "Reexport", "UUIDs"]
git-tree-sha1 = "fed057115644d04fba7f4d768faeeeff6ad11a60"
uuid = "7f904dfe-b85e-4ff6-b463-dae2292396a8"
version = "0.7.27"

[[Preferences]]
deps = ["TOML"]
git-tree-sha1 = "2cf929d64681236a2e074ffafb8d568733d2e6af"
uuid = "21216c6a-2e73-6563-6e65-726566657250"
version = "1.2.3"

[[Printf]]
deps = ["Unicode"]
uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7"

[[Profile]]
deps = ["Printf"]
uuid = "9abbd945-dff8-562f-b5e8-e1ebf5ef1b79"

[[REPL]]
deps = ["InteractiveUtils", "Markdown", "Sockets", "Unicode"]
uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb"

[[Random]]
deps = ["Serialization"]
uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"

[[Reexport]]
git-tree-sha1 = "45e428421666073eab6f2da5c9d310d99bb12f9b"
uuid = "189a3867-3050-52da-a836-e630ba90ab69"
version = "1.2.2"

[[Requires]]
deps = ["UUIDs"]
git-tree-sha1 = "8f82019e525f4d5c669692772a6f4b0a58b06a6a"
uuid = "ae029012-a4dd-5104-9daa-d747884805df"
version = "1.2.0"

[[Rsvg]]
deps = ["Cairo", "Glib_jll", "Librsvg_jll"]
git-tree-sha1 = "3d3dc66eb46568fb3a5259034bfc752a0eb0c686"
uuid = "c4c386cf-5103-5370-be45-f3a111cca3b8"
version = "1.0.0"

[[SHA]]
uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"

[[Serialization]]
uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b"

[[Sockets]]
uuid = "6462fe0b-24de-5631-8697-dd941f90decc"

[[SparseArrays]]
deps = ["LinearAlgebra", "Random"]
uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"

[[Statistics]]
deps = ["LinearAlgebra", "SparseArrays"]
uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"

[[TOML]]
deps = ["Dates"]
uuid = "fa267f1f-6049-4f14-aa54-33bafae1ed76"

[[Tar]]
deps = ["ArgTools", "SHA"]
uuid = "a4e569a6-e804-4fa4-b0f3-eef7a1d5b13e"

[[Test]]
deps = ["InteractiveUtils", "Logging", "Random", "Serialization"]
uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40"

[[UUIDs]]
deps = ["Random", "SHA"]
uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4"

[[Unicode]]
uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5"

[[XML2_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libiconv_jll", "Pkg", "Zlib_jll"]
git-tree-sha1 = "1acf5bdf07aa0907e0a37d3718bb88d4b687b74a"
uuid = "02c8fc9c-b97f-50b9-bbe4-9be30ff0a78a"
version = "2.9.12+0"

[[XSLT_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgcrypt_jll", "Libgpg_error_jll", "Libiconv_jll", "Pkg", "XML2_jll", "Zlib_jll"]
git-tree-sha1 = "91844873c4085240b95e795f692c4cec4d805f8a"
uuid = "aed1982a-8fda-507f-9586-7b0439959a61"
version = "1.1.34+0"

[[Xorg_libX11_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxcb_jll", "Xorg_xtrans_jll"]
git-tree-sha1 = "5be649d550f3f4b95308bf0183b82e2582876527"
uuid = "4f6342f7-b3d2-589e-9d20-edeb45f2b2bc"
version = "1.6.9+4"

[[Xorg_libXau_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "4e490d5c960c314f33885790ed410ff3a94ce67e"
uuid = "0c0b7dd1-d40b-584c-a123-a41640f87eec"
version = "1.0.9+4"

[[Xorg_libXdmcp_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "4fe47bd2247248125c428978740e18a681372dd4"
uuid = "a3789734-cfe1-5b06-b2d0-1dd0d9d62d05"
version = "1.1.3+4"

[[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"

[[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"

[[Xorg_libpthread_stubs_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "6783737e45d3c59a4a4c4091f5f88cdcf0908cbb"
uuid = "14d82f49-176c-5ed1-bb49-ad3f5cbd8c74"
version = "0.1.0+3"

[[Xorg_libxcb_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "XSLT_jll", "Xorg_libXau_jll", "Xorg_libXdmcp_jll", "Xorg_libpthread_stubs_jll"]
git-tree-sha1 = "daf17f441228e7a3833846cd048892861cff16d6"
uuid = "c7cfdc94-dc32-55de-ac96-5a1b8d977c5b"
version = "1.13.0+3"

[[Xorg_xtrans_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "79c31e7844f6ecf779705fbc12146eb190b7d845"
uuid = "c5fb5394-a638-5e4d-96e5-b29de1b5cf10"
version = "1.4.0+3"

[[Zlib_jll]]
deps = ["Libdl"]
uuid = "83775a58-1f1d-513f-b197-d71354ab007a"

[[Zstd_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "cc4bf3fdde8b7e3e9fa0351bdeedba1cf3b7f6e6"
uuid = "3161d3a3-bdf6-5164-811a-617609db77b4"
version = "1.5.0+0"

[[gdk_pixbuf_jll]]
deps = ["Artifacts", "Glib_jll", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Libtiff_jll", "Pkg", "Xorg_libX11_jll", "libpng_jll"]
git-tree-sha1 = "c23323cd30d60941f8c68419a70905d9bdd92808"
uuid = "da03df04-f53b-5353-a52f-6a8b0620ced0"
version = "2.42.6+1"

[[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"

[[libfdk_aac_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "daacc84a041563f965be61859a36e17c4e4fcd55"
uuid = "f638f0a6-7fb0-5443-88ba-1cc74229b280"
version = "2.0.2+0"

[[libpng_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
git-tree-sha1 = "94d180a6d2b5e55e447e2d27a29ed04fe79eb30c"
uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f"
version = "1.6.38+0"

[[libvorbis_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Ogg_jll", "Pkg"]
git-tree-sha1 = "c45f4e40e7aafe9d086379e5578947ec8b95a8fb"
uuid = "f27f6e37-5d2b-51aa-960f-b287f2bc3b7a"
version = "1.3.7+0"

[[nghttp2_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d"

[[p7zip_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0"

[[x264_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "4fea590b89e6ec504593146bf8b988b2c00922b2"
uuid = "1270edf5-f2f9-52d2-97e9-ab00b5d0237a"
version = "2021.5.5+0"

[[x265_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "ee567a171cce03570d77ad3a43e90218e38937a9"
uuid = "dfaa095f-4041-5dcd-9319-2fabd8486b76"
version = "3.5.0+0"
"""

# ╔═╡ Cell order:
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# ╟─cb876e86-1181-43f9-90e5-48d8dc643fb9
# ╟─4ad9ffcd-4cb2-4ba1-ab1c-59bfbd15687e
# ╠═d12f37ff-4c2a-41d9-8897-36b4c48b62f0
# ╟─9f77382b-bb02-44e5-9126-d0337c2cda43
# ╠═d7e5c554-77a5-4c9a-b1a2-46c4effe5cd6
# ╠═a879127d-7925-40c7-a536-460e6d3f3adb
# ╟─3197c8b9-1185-4896-b5cd-96db23d71f86
# ╠═9e64245d-d361-4a72-a63c-a06ac0ead739
# ╟─43baa8c1-fe49-4fed-8192-748fa221a8e1
# ╟─49db3f90-5955-44fc-bd8a-fdf45bade61d
# ╟─00000000-0000-0000-0000-000000000001
# ╟─00000000-0000-0000-0000-000000000002