Bead-Chain Construction Set and Interlocking Puzzle Inspired by Polyhedranes
Journal
Proceedings of Bridges 2019: Mathematics, Art, Music, Architecture, Education, Culture
Pages
553
Date Issued
2019-07
Author(s)
Bih-Yaw Jin
Abstract
We introduce a new type of construction set which can be used to build valence sphere models of any cage-like hydrocarbon, of general formula (CH)2n. Using n linear five-bead chains, one can connect these building units into a three-dimension arrangement that stands for its valence sphere model through n cross-linkings. More interestingly, the assembly processes of certain symmetric molecules, such as three Platonic hydrocarbons, including tetrahedrane, cubane, and dodecahedrane, are similar to solving interlocking puzzles. Hence, a bead chain construction set can also be considered as a new type of take-apart put-together puzzles.
Publisher
The Bridges Organization
Type
conference proceeding
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