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The decaflexagon has 10 triangles meeting in the center. Three variants are described here:
Isosceles and Right DecaflexagonThe decaflexagon has 10 triangles per face. Both versions allow you to do a pinch flex with 5-fold symmetry. The isosceles version allows you to do various pocket flexes when you fold it in half. The right triangle version allows you to fold out flaps and fold them back a different way. Cut out the net and pre-crease all the edges. Copy the small numbers on to the back. With the following isosceles net, fold 2 on 2. With the right triangle version, fold 3 on 3. Tape the tabs onto the appropriate faces.
Print out the following two strips and connect the 3/5 face to the 1/5 face. Fold 4 on 4, 5 on 5 and 6 on 6. Then fold 2 on 2 and tape the tabs to the appropriate faces.
Print out the following two strips and connect the 3/5 face to the 1/5 face. Fold 4 on 4, 5 on 5 and 6 on 6. Then fold 1 on 1 and tape the tabs to the appropriate faces
Star Decaflexagon
Cut along the solid lines and pre-fold along the dashed lines. The dashed lines along the outside edge of triangles 2/3 and 4/2 indicate that these edges will be connected to another edge. Copy the small numbers onto the backs of the triangles. Tape the short side of triangle 1/3 in one of the four pieces to the short side of triangle 4/2 in a second piece such that 1 and 4 are on the same side and 2 and 3 are on the same side. Continue by connecting 1/3 in the second piece to 4/2 in the third, 1/3 in the third to 4/2 in the fourth, and 1/3 in the fourth to 4/2 in the fifth. Now fold adjacent pairs of 4's together and adjacent pairs of 3's together, creating a five pointed star. Finish by taping together the final 1/3 and 4/2. One flex that works on this star flexagon is the pivot flex. Next: The Dodecaflexagon |
