One of the most beloved danchi architectural styles is the “Star House” スターハウス design, which is said to have been introduced by the Kaori Danchi 香里団地 in Osaka Prefecture, using it for about 15-20 of its buildings. This design is popular enough to have its own scale models available for sale:
There’s also the 2012 book with a star house danchi on the cover and in the title: 『レッドアローとスターハウス もうひとつの戦後思想史』 “Red Arrow and Star House Another History of Postwar Thought“. For description in Japanese, see: ママチャリは世界に類例のない自転車だった。超面白い乗り物本■2012年ベスト5.
Example: UR Akabanedai danchi ＵＲ都市機構赤羽台団地
There is also such thing as a double star house!