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Abstract: Let denote the graph consisting of a cycle of length 4 with a pendant edge. In this paper, two very different small embeddings of partial -designs are presented. [Copyright &y& Elsevier]

This article reports on a paper bicycle frame designed by Yoshifumi Kato of the Japan Bicycle Technical Center in Inuyama that is both lightweight and recyclable. The frame, which is made from handmade paper fibers and epoxy with a thin plastic coating, weighs only 1,300 grams. Standard aluminum or carbon-fiber frames can weigh up to 1,800 grams and even the lightest racing bikes weigh 1,200. Furthermore, a frame is badly mangled in an accident can be dropped off at a recycling center instead of at the dump.