Origami Heaven

A paperfolding paradise

The website of writer and paperfolding designer David Mitchell


The Fold and One Cut Hexagon
This page attempts to record what is known about the origin and history of the Fold and One Cut Hexagon. Please contact me if you know any of this information is incorrect or if you have any other information that should be added. Thank you.



'Manuel pratique des jardins d'enfants de Frédéric Froebel', which was compiled by J F Jacobs and published by F Claassen in Brussells and L Hachette and Cie in Paris in 1859, contains a description of a method of creating a Fold and One Cut Hexagon from a square:

In English, roughly, 'fold the square of paper on one of its diagonals; you have a rectangle triangle. Find the midpoint of the base ... and from this point start two obliques which divide the space around this point into three equal angles ... then cut off the superfluous corners.'



An illustration showing how to create a hexagon from a square using the same method as in Jacobs above appears in 'De Kleine Papierwerkers: Volume 4: Het Knippen en plakken' (Cutting and Pasting), written by Elise Van Calcar and published by K H Schadd in Amsterdam in 1863.



The same method can be found in 'Des Kindes Erste Beschaftigungsbuch' by E Barth and W Niederley, which was first published in Bielefeld and Leipzig, and the foreword of which is dated October 1876.



There is reference to constructing a hexagon from a square in the 'Bulletin de la Societe de Protection des Apprentis', an official document issued by the Societe de Protection des Apprentis et des Enfants Employes par les Manufactures in Paris in 1891.



A slightly method of creating a Fold and One Cut Hexagon is found in 'Le Travail Manuel a L'ecole Primaire' by Jully & Rocheron, which was published by Librairie Classique Eugene Belin in Paris in 1892.


The same method appears:


In 'L'enseignement manuel dans les ecoles du degre primaire (garcons)' by Rene Leblanc, which was published by Librairie Larousse in Paris in 1895.


In 'Geometrie, Dessin et Travaux Manuels - Cours Moyen', produced under the direction of M E. Cazes, which was published by Librairie Ch. Delagrave in Paris in 1895.



'Pleasant Work for Busy Fingers' by Maggie Browne, which is an English version of 'Des Kindes Erste Beschaftigungsbuch', and was published by Cassell and Company in London in 1896, also contains the method of creating a fold and one cut hexagon pictured under the entry for 1876 above.