How to Make a Hexaflexagon: 10 Steps (with Pictures.
So for a tri-hexaflexagon, you need one construction unit and for a 9 sided hexaflexagon, you need 7 construction units. Arrange the construction units in any configuration you like, with two rules. 1. The sides of the larger triangles must match each other. 2. The inside triangles must form a single path that traverses all side points.
Hexaflexagons: SMILE card 0828 is a booklet giving detailed instructions on how to make a hexaflexagon. The resource includes photographs showing how to flex the hexaflexagon. There are instructions on how to colour the hexaflexagon and how to make a record of all the flexes. The resource concludes by showing a variety of alternative hexaflexagons.
Hexaflexagons This page is a work-in-progress collection of free templates and videos about Hexaflexagons. Blank template with instructions (also a PDF version).
Since this flexagon is a straight strip of triangles I left this detail out. Note in each of the diagrams going from face to face the angle of the lines always changes, they are never parallel. This is always the case for straight strip flexagons. Note that variations III and IV are mirror images.
In How To Make a Hexaflexagon: The Definitive Guide, she shares her hexaflexafolding techniques, tips and tricks. Plus, from Wikipedia: The discovery of the first flexagon, a trihexaflexagon, is credited to the British student Arthur H. Stone, who was studying at Princeton University in the United States in 1939.
Hello! I have finally made a video with my tips and tricks for Hexaflexagon making!
Hexaflexagons are paper polygons with a surprising number of faces. They were first discovered in 1939 by Arthur Stone, who set up a Flexagon Committee to investigate their properties. The committee consisted of the famous Mathematicians and Physicists, B. Tuckerman, R.P. Feynman and J.W. Tukey.
Each face of the flexagon can have as many as 12 triangles as you flex it. The 12-gon discovery of Ann Schwartz is one of an infinite family of dodecaflexagons with a lot of similarity to traditional hexaflexagons but more dynamic behavior when flexing. There are 3-faced, 4-faced, etc. versions of this flexagon, several of which you can see below.
To make this hexaflexagon, click on the following two thumbnails to get larger versions. Print them then cut them out. Paste them back-to-back so one end of the strip has a 5 on one side and a 4 on the other side and the other end has 3 on one side and 2 on the other. Pre-fold along the dotted lines.
How to make a TRIFLEXAGON If you've seen Kjartan (the author) talking about the Murderous Maths books, he probably demonstrated some of his different FLEXAGONS. A flexagon looks like a piece of folded card which you can turn inside out.
Make sure the template is numbered to indicate which triangles will make up the same pattern. The template will have a series of triangles that are numbered according to the side with which they correspond. A tri-hexaflexagon will have triangles numbered 1, 2, and 3.
How to Make an 3 Sided Hexaflexagon (This Is Awesome!!!) A hexaflexagon is a seemingly ordinary hexagon that then flips in to 3 or 6 different sides, this guide is on the 3sides one and is super simple and includes some background information.
Hexaflexagon Maps - 9 sides There are articles and other references to the straight strip 9 sided hexaflexagon called the nonahexaflexagon. There are straight strip flexagons for if the number of sides is divisible by 3. Dr. McIntosh describes these as flexagons with star maps. Be sure to read his papers on this topic as it is quite interesting.
