add static images to 4.appendix

posts/polycount/4/appendix/index.qmd

@@ -186,7 +186,11 @@ cendree2DivModCycleExpansion = take 11 $
 putStrLn . unlines . map show $ cendree2DivModCycleExpansion
 ```
 
-We get the same series if we expand 2 directly (which we can also use to check its validity):
+Note that in this case, we're truncating the alternating series!
+This means that naively evaluating the series as before will not give the correct value.
+
+To check the validity of this series, we can check that we get the same series before the truncated elements
+  by expanding 2 directly:
 
 ```{haskell}
 cendree2DivMod15Steps = map (pairEval (sqrt 3 + 1)) $
@@ -194,7 +198,8 @@ cendree2DivMod15Steps = map (pairEval (sqrt 3 + 1)) $
 putStrLn . unlines . map show $ cendree2DivMod15Steps
 ```
 
-We can *also* use this to get a series for negative one, a number which has a terminating expansion
+Up to the carry head, the series are the same.
+We can do the same thing to get a series for negative one, a number which has a terminating expansion
   in the balanced alphabet.
 
 ```{haskell}
@@ -253,7 +258,23 @@ Within these two clusters, the rightmost portion of them appears to be the same
 If you try switching between the *κ*-adic options, you can even see the smaller
   and larger shapes changing in the same way as one another.
 
+If you prefer not to use JavaScript, I also prepared a [Python script](./kadic.py) to run locally[^1].
+You can trace out images from this version can be seen below:
+
+:::: {.row .centered}
+::: {layout-ncol="2"}
+![`quotRem`](./cendree_quotrem_fractal.png)
+
+![`divMod`](./cendree_divmod_fractal.png)
+:::
+
+Clusters of *κ*-adics, with self-similar patterns boxed in red.
+::::
+
 This is actually great news -- if you switch between the *κ*-adics and the "random binary" option,
   you can see that the latter option tends to the same pattern as the 2-adics.
 Thus, even if the expansions for the integers are individually chaotic, together they possess a
   much different structure than pure randomness.
+
+[^1]: You will also need the [`divMod`](./cendree_DivMod_count_1024_256_digits.csv)
+      and [`quotRem`](./cendree_QuotRem_count_1024_256_digits.csv) data files.