How do you do the Tuckerman traverse?

The Tuckerman traverse involves the repeated flexing by pinching one corner and flex from exactly the same corner every time. If the corner refuses to open, move to an adjacent corner and keep flexing. This procedure brings you to a 12-face cycle.

How many triangles does a Hexaflexagon have?

A hexaflexagon with three faces is the simplest of the hexaflexagons to make and to manage, and is made from a single strip of paper, divided into nine equilateral triangles.

How many sides are on a Hexaflexagon?

A hexaflexagon is a paper hexagon that is folded from a strip of paper. As the sides are flexed, or moved, they reveal more surfaces than a standard hexagon would. Like a hexagon, it still has 6 sides. Within the hexagon, there are 6 additional faces—as opposed to 2 faces on a standard hexagon shape.

How many triangles do you need to make a Hexaflexagon?

Doing the math, if we want to make a six-sided hexaflexagon, we need 6 faces x 6 triangles + 2 glue = 38 triangles which, divided by two, is a strip of nineteen triangles.

Is a Hexaflexagon a Mobius strip?

For example, the tri-hexa-flexagon is a cyclic straight strip flexagon with N=3 faces and n=6 triangles on each face. Its “Möbius band twin” has 3N-n=3×3-6=3 half-twists. This has some very important consequences.

How to make a hexaflexagon step by step?

Push the outer corners in. Start by pinching two triangles together along one of the edges. Do the same on the opposite side and push the corners toward each other. Open opposite triangles. Take the center of these triangles and open them to reveal the face of your hexaflexagon.

How do you make a 6-sided hexagon?

Making the Initial Folds of a 6-sided Hexaflexagon 1. Cut a strip of paper. Your strip should be at least 12 times as long as it is wide. Construction paper will hold the… 2. Fold equilateral triangles into your paper. Equilateral means that all 3 sides are the exact same length. 3. Repeat this 19

How do you fold a flexagon?

Then fold the whole thing in half along the horizontal line. Glue the thing shut while folded horizontally. You will fold the flexagon by making the starred sections touch each other. You will glue the flaps together, but first reverse their positions so that the one that was on the bottom is now on the top.

How many possible faces does a hexa-hexaflexagon have?

The hexa-hexaflexagon has six faces with 3 different arrangements each, for a total of 18 possible faces. Only 15 of the faces versions can be seen with the straight strip pattern for a hexa-hexaflexagon. Can you find all 15 possibilities?