The diamond shape (hishi-gata) was first used in tatgeu (screens, doors or shutters) in the late 16th century, mainly in temple construction, but it is generally thought that the shape was not used in residential tategu until over a hundred years later.
Han-gara and Shin-garaOne design consideration for the shokunin is whether to make the pattern shin-gara or han-gara. In the shin-gara design, the diagonal kumiko extends to the corner, and in the han-gara, it is cut off at the half-way point. The more commonly used pattern these days is the han-gara.
Hitoe-bishiThe single diamond (first photo with asa-no-ha pattern).
Futae-bishiThe double diamond. The addition of a second kumiko to form pairs increases the complexity of calculating dimensions.