The JVHM Open Book
The open book from the previous post wasn’t quite right. This became quite apparent when tried to color the two sides of a page. Along a “horizontal level” between each pair of binding components there needed to be three Dehn twists. Fortunately, the Dehn twists can be obtained through shearing.
A bit of reworking and rechoosing a fundamental domain gives a pleasant picture.
The three-torus may be viewed as a hexagonal prism with opposite faces identified. Here we show 10 pages of JVHM’s open book for the Stein fillable contact structure on the three-torus in this fundamental domain.
Yeah, these are animated gifs.
And a few views of a big tiled block, 3x3x3:
Word of caution, some of these are actually mirrors of what they should be.