Barany published his findings as a short article in Nature [1]. He also talked about the topic in an episode of the podcast “My Favorite Theorem” [2].

[1]: https://www.nature.com/articles/d41586-018-00513-8 [2]: https://kpknudson.com/my-favorite-theorem/2020/11/12/episode... (from 21:40 to 30:44).