From 381101385d632b169ce87fa29873c5bdb0a038b0 Mon Sep 17 00:00:00 2001
From: Akshay Nair <phenax5@gmail.com>
Date: Sat, 15 Feb 2025 18:39:00 +0530
Subject: Add julia set fractal

---
 6-julia/main.ua        |  26 ++++++++++++++++++++++++++
 6-julia/output-600.gif | Bin 0 -> 248956 bytes
 6-julia/output-600.png | Bin 0 -> 74018 bytes
 6-julia/output.gif     | Bin 0 -> 248956 bytes
 6-julia/output.png     | Bin 0 -> 74018 bytes
 README.md              |  11 ++++++++++-
 6 files changed, 36 insertions(+), 1 deletion(-)
 create mode 100644 6-julia/main.ua
 create mode 100644 6-julia/output-600.gif
 create mode 100644 6-julia/output-600.png
 create mode 100644 6-julia/output.gif
 create mode 100644 6-julia/output.png

diff --git a/6-julia/main.ua b/6-julia/main.ua
new file mode 100644
index 0000000..5fca4d5
--- /dev/null
+++ b/6-julia/main.ua
@@ -0,0 +1,26 @@
+W   ← 200  # width
+H   ← 200  # height
+S   ← 0.35 # scale
+I   ← 30   # max iterations
+Ox  ← 0    # offset x
+Oy  ← 0    # offset y
+F   ← 24   # number of frames for gif
+Fps ← 8    # frame rate for gif
+
+ToPixel ← ⍣(
+  0.18_0.2_0.25 ⍤.=I
+| 0.92_0.93_0.96 ⍤.≥20
+| 0.37_0.5_0.67 ⍤.>13
+| 0.64_0.75_0.55 ⍤.>11
+| 0.74_0.38_0.41 ⍤.>8
+| 0_0_0
+)
+
+C          ← ×0.7885 ⁿ(×i)e
+Iterations ← ◌:◌: ⌵ ⍢(⊙(+⊙.×.) +1|× ⊙(<100⌵) <I) 0 :C
+Grid       ← ⊞ℂ ∩(÷S -0.5 ÷H) ⊓(-Oy)(-Ox) ⇡H⇡W
+Img        ← ∵(ToPixel Iterations ×1.62π) Grid
+&fwa "./6-julia/output.png" img "png" Img
+
+Frames ← ≡(∵(ToPixel Iterations :) Grid) ×τ÷F⇡F
+&fwa "./6-julia/output.gif" gif Fps Frames
diff --git a/6-julia/output-600.gif b/6-julia/output-600.gif
new file mode 100644
index 0000000..530d8a5
Binary files /dev/null and b/6-julia/output-600.gif differ
diff --git a/6-julia/output-600.png b/6-julia/output-600.png
new file mode 100644
index 0000000..a81d92d
Binary files /dev/null and b/6-julia/output-600.png differ
diff --git a/6-julia/output.gif b/6-julia/output.gif
new file mode 100644
index 0000000..530d8a5
Binary files /dev/null and b/6-julia/output.gif differ
diff --git a/6-julia/output.png b/6-julia/output.png
new file mode 100644
index 0000000..a81d92d
Binary files /dev/null and b/6-julia/output.png differ
diff --git a/README.md b/README.md
index cf8228a..e86a8de 100644
--- a/README.md
+++ b/README.md
@@ -3,7 +3,7 @@
 <table>
   <tr>
     <td width="50%" valign="top">
-      <h3><a href="1-mandelbrot/main.ua">Mandelbrot set fractal</a></h3>
+      <h3><a href="1-mandelbrot/main.ua">Mandelbrot Set</a></h3>
       <img src="1-mandelbrot/output-1080.png" />
     </td>
     <td width="50%" valign="top">
@@ -38,5 +38,14 @@ https://github.com/user-attachments/assets/18ce9a04-b597-4340-876d-8585a054c6ad
 &nbsp;
     </td>
   </tr>
+
+  <tr>
+    <td width="50%" valign="top">
+      <h3><a href="6-julia/main.ua">Julia Set</a></h3>
+      <img src="6-julia/output-600.gif?raw=true" />
+    </td>
+    <td width="50%" valign="top">
+    </td>
+  </tr>
 </table>
 
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