In this study, the armhole and sleeve cap curves are obtained by using two mathematical equations, and discussions are attempted to clear the structure of these curves.
The two mathematical equations are as follows:
1) Super elliptical equation,
(X/A)
p+ (Y/B)
p=1, (0<X<A, 0<Y<B, 1≤p<∞……………… (1)
2) N-th power equation,
Y=B· (X/A)
N, (0<X<A, 0<Y<B, 1≤N<∞) ……………… (2)
For drawing paper patterns, a computer graphic method is quite useful.
For example, a rectangular with two sides, A and B, is drawn easily and a diagonal curve which constructs a shape of the pattern is also drawn by using the above two equations. A and B are size or measuring factors and parameters P and N are structural factors.
In these patterns, curve length or seam length of the pattern drawn is calculated by a computer. On the other hand, the sleeve cap or armhole length measured can determine parameter P and N of the curves as shown in Figs.6 and 12.
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