Several good trys. But I think it's time to give you the answer.
When schedule changes occur you will see a reference like "diamond revision" if you translate the notice. These are notices (in Japanese) for a Nishi-Nippon Railroad diamond revision in March 2008.
http://www.hobidas.com/news/article/81009.htmlhttp://www.nishitetsu.co.jp/release/2007/07_129.htmJapanese railways have a schedule and a diagram of where all trains will be at any given time. There are multiple diagonal lines criss-crossing on a graph. One axis is the time, the other the stations. That diagram is referred to as "the diamond." With regular interval headways the meeting points form diamonds on the diagram. Usually we don't get to see the diamond, but sometimes we do.
When the Kotoden retired its fleet of vintage EMUs in 2007, it published a schedule and diamond for the various commorative runs in a pdf (below). The excursions occurred on August 11 and 12, 2007. Although the diamond is in Kanji, the station distances match up the Kotohira line station spacings.
http://www.kotoden.co.jp/publichtm/kotoden/new/2007/2007_0811/image/2007_081112_315.pdfThe regular trains are shown with the black lines. About half of the trains turnback at Okamoto Station. The red and blue lines are the excursion trains that Kotoden ran. This line is single track with passing sidings only at stations.
JR has an automated system to make these matrix diagrams, but reportedly it is training its employees on writing these diagrams by hand. This might be necessary in the event of a typhoon or an earthquake to get the trains back running.
There is at least one model railroad club that uses diamonds in its operations. There is a track plan which is needed to create the timetable and then at the bottom of the page is the diamond.
http://www.familybook.net/omrc/021208dia.htmlThere was a magazine that published these diagrams in Japan, but they the text was so small they were almost impossible to read.
So that is the answer!