add videos in stereo.2

posts/stereo/2/anim.py

@@ -34,7 +34,7 @@ def bindfig(fig):
 
 class SympyAnimationWrapper:
     """
-    Context manager for binding    a figurebinfoinfoinfoinfoinfoinfo
+    Context manager for binding a figure for animation.
     """
     def __init__(self, filename: Path | str):
         self._filename = filename if isinstance(filename, Path) else Path(filename)

posts/stereo/2/index.qmd

@@ -44,7 +44,7 @@ def generate_os(amt):
     yield ret
     ret = (ret * o).expand().cancel().simplify()
 
-os = list(generate_os(10))
+os = list(generate_os(11))
 cs = [sympy.re(i).simplify() for i in os]
 ss = [sympy.im(i).simplify() for i in os]
 ```
@@ -365,9 +365,7 @@ will plot a $p/1$ polar rose as t ranges over $(-\infty, \infty)$.
 
 ```{python}
 #| echo: false
-#| fig-cap: |
-#|   p/1 polar roses as rational curves.
-#|   Since *t* never reaches infinity, a bite appears to be taken out of the graphs near (-1, 0).
+#| output: false
 
 @dataclass
 class Rose:
@@ -384,7 +382,7 @@ class Rose:
         )
 
 
-def animate_roses(filename: str, arguments: list[Rose], interval=200):
+def animate_roses(filename: str, arguments: list[Rose], interval=500):
   with SympyAnimationWrapper(filename) as animate:
     @animate(list(range(len(arguments))), interval=interval)
     def ret(fr):
@@ -408,6 +406,13 @@ animate_roses(
 )
 ```
 
+::: {#fig-polar-roses-1}
+{{< video "./polar_roses_1.mp4" >}}
+
+p/1 polar roses as rational curves.
+Since *t* never reaches infinity, a bite appears to be taken out of the graphs near (-1, 0)."
+:::
+
 $q = 1$ happens to match the subscript *c* term of *x* and *s* term of *y*, so one might wonder
   whether the other polar curves can be obtained by allowing it to vary as well.
 And you'd be right.
@@ -420,7 +425,7 @@ will plot a $p/q$ polar rose as t ranges over $(-\infty, \infty)$.
 
 ```{python}
 #| echo: false
-#| fig-cap: p/q polar roses as rational curves
+#| output: false
 
 animate_roses(
   "polar_roses_2.mp4",
@@ -431,6 +436,11 @@ animate_roses(
 )
 ```
 
+::: {#fig-polar-roses-2}
+{{< video "./polar_roses_2.mp4" >}}
+
+p/q polar roses as rational curves
+:::
 
 Just as with the prior calculus examples, doubling all subscripts of *c* and *s* will
   only require *t* to range over $(-1, 1)$, which removes the ugly bite mark.
@@ -700,7 +710,7 @@ Indeed, the sequence of curves with parametrization $R_n(t) = 2nt$ approximate t
 
 ```{python}
 #| echo: false
-#| fig-cap: Approximations to the Archimedean spiral
+#| output: false
 
 with SympyAnimationWrapper("approximate_archimedes.mp4") as animate:
   @animate(list(range(10)), interval=500)
@@ -734,6 +744,13 @@ with SympyAnimationWrapper("approximate_archimedes.mp4") as animate:
   ret.save()  # type: ignore
 ```
 
+::: {#fig-approx-archimedes}
+{{< video ./approximate_archimedes.mp4 >}}
+
+Approximations to the Archimedean spiral
+:::
+
+
 Since R necessarily defines a rational curve, the curves will never be equal,
   just as any stretching of $c_n$ will never exactly become cosine.