Rhombus Flexagons

sample rhombus flexagons

These flexagons are made from rhombuses, quadrilaterals where all four sides are equal length.

Rhombus hexaflexagon

This flexagon is a bit tricky to make because the template overlaps itself in multiple places. To make this 6-sided rhombus hexaflexagon:

  1. Click on the following two thumbnails to get the full sized versions.
  2. Print them, cut them out and paste them back to back, giving you three different templates.
  3. Cut along all the solid black lines and pre-crease along the dotted gray lines.
  4. Tape together the edge of side 1 from one template to the edge of side two from a second template.
  5. Tape together the edge of one side 1 from the second template to the edge of side two from the third template.
  6. Start by folding adjacent 6's together.
  7. Continue by folding together adjacent 5's, 4's and 3's.
  8. Repeat this process three times so only the 1's and 2's are visible.
  9. Finish by taping together the adjacent edges of the first and last squares in the template.
template for 6-sided rhombus hexaflexagon, side a      template for 6-sided rhombus hexaflexagon, side b

The rhombus I've chosen to use here has two 60 degree angles and two 120 degree angles. This means that the flexagon lies flat if there are 6 leaves (a hexaflexagon) and the central angle is 60 degrees. If one of the 120 degree angles are in the center, the result is greater than 360 degrees so it doesn't lie flat.

This rhombus flexagon has similar behavior to various triangle flexagons, including the triangle hexaflexagon and star dodecaflexagon. In the video I show the pinch flex, tuck flex and silver tetra flex, which are similar to flexes on triangle flexagons. One interesting note is that the pinch can combine with the box flex to produce a new flex.

Main flexagon page

© Scott Sherman 2011 send comments to comments at this domain