The earliest representations of the origami crane have been found on a kozuka which can be dated to around 1600.
(I am following up with the Tokyo National Museum Research team to find more information)
The largest origami paper crane has a wingspan of 81.94 m (268 ft 9 in) and was created by 800 people of the Peace Piece Project (all Japan) at the Hiroshima Shudo University, Hiroshima, Japan, on 29 August 2009.
Traditional origami doesn't prohibit the cutting or gluing of paper. The Senbazuru Orikata, a beautiful Japanese book published in 1797, contains instruction on many different origami cranes that involve cutting.
Friedrich Wilhelm August Fröbel or Froebel was a German pedagogue who created the concept of the kindergarten and coined the word. When the first kindergarten was established, paper-folding was introduced as a pedagogical tool and incorporated into the curriculum. The first Japanese kindergarten was established in 1876 as a kindergarten attached to the Tokyo Women’s Normal School (present-day Ochanomizu University). It served as a model preschool, and was well known by the adoption of “Fröbel’s Gifts” into its curriculum.
Finally, the most origami cranes made in three minutes blindfolded is 4 and was achieved by Azusa Ito (Japan) in Shibuya, Tokyo, Japan, on 21 July 2021. This was equalled by Katherine Wu (USA) in San Francisco, California, USA, on 9 August 2021.
Other practitioners of hanakami:
akira1ze