Animations and videos for folding hexagons, dodecagons, and dodecagrams

In July 2013 I gave a talk on folding dissections at a math/art conference in the Netherlands. Here is the citation for the conference proceedings:

Folding hexagons, dodecagons, and dodecagrams,
in Bridges Enschede 2013: Mathematics, Music, Art, Architecture, Culture},
Enschede, the Netherlands (July 2013), pp. 135-142.

Since a portion of the contribution of my paper was animations and demonstrations of the folding dissections that I described, I promised to post some of them on a webpage.
The following is a realization of my promise:

First are videos of my cherry wood models for two folding hexagon dissections.
The wood is approximately 3/16 of an inch in thickness. Incidentally, they make nice puzzles to fold and unfold.

Here is the video for my dissection of a 1-level hexagon to a 16-level hexagon, which appears in Figure 6 of the article.

Here is the video for my dissection of a 1-level hexagon to a 25-level hexagon, which appears in Figure 8 of the article.

Next comes a retraction:

As I announced during my talk, my purported folding dissection of a 4-level dodecagon to a 2-level dodecagon
that I showed in Figure 9 is not correct. The problem is that the triangular towers of pieces
B, E, H, L, O, and O stick out onto the wrong level in one of the two configurations.
This is unfortunately some evidence that these folding dissections are not so easy to visualize,
and also that I was sloppy in not having vetted this "solution" earlier.

Finally are animations of my dodecagram dissections. Note the wonderful symmetry.

Here is the animation for my dissection of a 4-level dodecagram {12/2} to a 2-level dodecagram {12/2} which appears in Figure 10 of the article.

Here is the animation for my dissection of a 1-level dodecagram {12/2} to a 3-level dodecagram {12/2} which appears in Figure 11 of the article.