- Some references to gluing together tetrahedra.
J. H. Mason, Can regular tetrahedra be glued together face to face to form a ring? Math. Gaz., 56 (1972), 194-197.
S. K. Stein, The Planes Obtainable by Gluing Regular Tetrahedra. The American Mathematical Monthly, Vol. 85, No. 6 (1978), 477-479.
- I have print-outs of two articles:
Lagarias, Jeffrey C., and Chuanming Zong. 2012. Mysteries in packing regular tetrahedra. Notices of the American Mathematical Society 59(11):1540-1549.
Zheng, Chong, Roald Hoffmann, and David R. Nelson. 1990. A helical face-sharing tetrahedron chain with irrational twist, stella quadrangula, and related matters. Journal of the American Chemical Society 112:3784-3791.
- This paper mentions a connection between a chain of tetrahedra and a chain of triangle-prisms (as found in Rubik’s Snake).
Rubik’s Snake or Rubik’s Twist can twisted to form a straight stick or other forms.
A link to other twistable toys https://fidgetclub.com/collections/tangles
- Additionally, here are some links: