Unfortunately, I don't have that edition.
Is it four windings?
1---/////////---2
3---/////////---4
5---/////////---6
7---/////////---8
with (1 to 5) and (3 to 7) as the unbalanced input,
(4 to 6) tied together, and (2) and (8) as the balanced
output?


Yes, but they are not windings. They are parallel conductors in pairs.
1 and 3 form one pair. 5 and 7 the other.

You can see a schematic at:

http://www.w8ji.com/balun_single_core_41_analysis.htm

under real transmisison line balun. Sevik proposes the winding can
share a common core.

73 Tom