# A.E.R. Woodcock's A Geometrical Study of the Elementary Catastrophes PDF

By A.E.R. Woodcock

ISBN-10: 3540066810

ISBN-13: 9783540066811

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**Additional resources for A Geometrical Study of the Elementary Catastrophes**

**Example text**

O A : - 8 . 0 B : - 2 . 0 Fig. 0 A : - 8 . 0 D =0,0 Fig. 0 B A = -8. -I. 0 B = -I. 0 C =+20. 0 B : - I . 0 D : - 2 . 0 B = - I . O Fig. 0 B = - I . ed Surface Projections of Wigwam Sections of the Star 8 Catastrophe V = ~ on the p l ~ e Ax 6 Bx 5 + --~- + -~-- Cx 4 Dx 3 + -~- + -~-+ Ex 2 -~- + Fx. (D,E) A negative, B and F zero and C running from +20 to zero (Fig. 34) produces a series of sections typical of the Wigwam Catastrophe for example Fig. 13). (See, As before, it is possible to elucidate the structure of the cuspoids by unfolding along a moving slice of the higher order catastrophes.

0 B : 0'0 C : + I f 0 A - - 8 . 0 B " 0,0 C " + l f 0 Fig. 0 o P I ÷ 0 C') C0 C~ CO ~Q c~ ! # C') ~J -n II "4- ? O C : - 5 . 0 A - 0 . 0 B ° 0 . O F o - 5 . 0 Fig. 0 F--5,0 Fig.

0 B : - 2 . 0 Fig. 0 A : - 8 . 0 D =0,0 Fig. 0 B A = -8. -I. 0 B = -I. 0 C =+20. 0 B : - I . 0 D : - 2 . 0 B = - I . O Fig. 0 B = - I . ed Surface Projections of Wigwam Sections of the Star 8 Catastrophe V = ~ on the p l ~ e Ax 6 Bx 5 + --~- + -~-- Cx 4 Dx 3 + -~- + -~-+ Ex 2 -~- + Fx. (D,E) A negative, B and F zero and C running from +20 to zero (Fig. 34) produces a series of sections typical of the Wigwam Catastrophe for example Fig. 13). (See, As before, it is possible to elucidate the structure of the cuspoids by unfolding along a moving slice of the higher order catastrophes.

### A Geometrical Study of the Elementary Catastrophes by A.E.R. Woodcock

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