The Puzzling World of Polyhedral Dissections
By Stewart T. Coffin

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Chapter 17 - Triacontahedral Designs
Notched Rhombic Sticks

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A more practical assembly puzzle is one made with sticks of rhombic rather than pentagonal cross-section. The rhombic sticks are easily made on a table saw with the saw tilted 18 degrees. The basic piece with two notches is shown in Fig. 156a. Thirty such identical sticks are altogether impossible to assemble. The various schemes for modifying some of the pieces to permit assembly are left for the reader to invent. Careful inspection of the model shown in Fig. 156b should reveal the scheme used by the author.

fig156a

Fig. 156a

fig156b

Fig. 156b

In a similar vein, Bill Cutler has designed and constructed the puzzle shown in Fig 156c he calls Square-Rod Dodecaplex. It is made up of 30 notched square sticks. Other variations are no doubt possible.

fig156c

Fig. 156c

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