かぎ針編における円形編の数理的検討とその応用

概要

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As a result of observations on the plane structure of crocheted circular-patterns and actual experimentation, the author found out the following formulae for "the number of beginning stitches" and "the number of stitches to increase" in each round when the circular-pattern is designed to lie flat. Number of beginning stitches : N_<10>=2πh/w N_<1α>=2π(α+h)/w Number of stitches to increase : M_i=2πh/w M_n=2πh'/w In these formulae, π stands for the circular constant, w for the width of a unit stitch; h, h' stands for the height of a unit stitch in the last round, and hence, the relation of h<h'. N_<10>, N_<1α> are both "the number of beginning stitches". When there is no space designed at the center of a circle crocheted, N_<10> is applied, and when there is a space, α in semidiameter, N_<1α> is applied. Both M_i and M_n mean "the number of stitches to increase". When there are n rounds, "the number of stitches to increase" in each round from the first to (n-1) th round is M_i, and that in the last round is M_n. As an application of these formulae, further mention is made of crocheted-triangle, quadrangle, multiangle, oval, and cone.
日本家庭科教育学会の論文
1970-03-01