add more timecodes and references

Author: kfahn22

content/videos/challenges/182-apollonian-gasket/index.json

@@ -24,7 +24,16 @@
     { "time": "1:40", "title": "References" },
     { "time": "3:22", "title": "Describe the Apollonian problem" },
     { "time": "5:51", "title": "Curvature" },
-    { "time": "10:08", "title": "Start coding!" }
+    { "time": "10:08", "title": "Start coding!" },
+    { "time": "11:53", "title": "Write a function to find the fourth curvature" },
+    { "time": "15:31", "title": "Complex numbers" },
+    { "time": "21:11", "title": "Create a complex number class" },
+    { "time": "22:52", "title": "Square root of -1" },
+    { "time": "25:32", "title": "Square root of a complex number" },
+    { "time": "27:57", "title": "Implement complex Descartes theorem" },
+    { "time": "33:50", "title": "Make the circles in the complexDescartes function" },
+    { "time": "36:26", "title": "Use an array to add recursion" },
+    { "time": "41:04", "title": "Validate the circles" }
   ],
   "codeExamples": [
     {
@@ -40,6 +49,12 @@
     {
       "title": "References",
       "links": [
+        {
+          "icon": "🔗",
+          "title": "Apollonian Gasket",
+          "url": "https://en.wikipedia.org/wiki/Apollonian_gasket",
+          "description": "Wikipedia page about the Apollonian Gasket."
+        },
         {
           "icon": "🔗",
           "title": "A Tisket, a Tasket, an Apollonian Gasket",
@@ -75,6 +90,30 @@
           "title": "Problem of Apollonius",
           "url": "https://en.wikipedia.org/wiki/Problem_of_Apollonius",
           "description": "Wikipedia page describing the Problem of Apollonius."
+        },
+        {
+          "icon": "🔗",
+          "title": "Four Proofs of a Generalization of the Descartes Circle Theorem",
+          "url": "https://www.jstor.org/stable/2316373",
+          "description": "Proof of Descartes Circle Theorem"
+        },
+        {
+          "icon": "🔗",
+          "title": "Beyond the Descartes Circle Theorem",
+          "url": "https://arxiv.org/pdf/math/0101066.pdf",
+          "description": "Paper by Jeffrey C. Lagarias, Colin L. Mallows, and Allan R. Wilks about the complex Descartes Theorem."
+        },
+        {
+          "icon": "🔗",
+          "title": "Descartes' theorem",
+          "url": "https://en.wikipedia.org/wiki/Descartes%27_theorem",
+          "description": "Wikipedia page about the Descartes theorem."
+        },
+        {
+          "icon": "🔗",
+          "title": "Complex.js",
+          "url": "https://www.npmjs.com/package/complex.js",
+          "description": "Javascript library implementing math operations for complex numbers."
         }
       ]
     },