Hawaiian Nights

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Hawaiian Nights
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Image from page 376 of “Mathematical recreations and essays” (1920)
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Identifier: mathematicalrecr1920ball
Title: Mathematical recreations and essays
Year: 1920 (1920s)
Authors: Ball, W. W. Rouse (Walter William Rouse), 1850-1925
Subjects: Mathematical recreations Geometry Astrology Space and time Matter Magic squares
Publisher: London, Macmillan
Contributing Library: Harold B. Lee Library
Digitizing Sponsor: Brigham Young University

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Text Appearing Before Image:
entre of the figure)over and beyond the corresponding horizontal string, then down, and thenround the corresponding horizontal strings. Third. Q turns the thumbs andfingers upwards through a right angle, thus passing the cross up between thetwo horizontal strings. By this motion the thumb and index-finger of eachhand (still holding the crossed strings) are brought against the horizontalstrings. Lastly. Q, having pushed his fingers up, releases the crosses byseparating his index-fiugers from his thumbs, and drawing his hands apartremoves the string from Ps hands. The diagram represents the figure asseen by P. Cats-Eye—see figure iii—also is formed by six loops, threeon each hand. There are two near (or radial) thumb strings,two far (or ulnar) index strings, while the radial thumb andulnar index strings form a diamond-shaped lozenge in themiddle of the figure, giving rise to two side crosses and twoend crosses. All the strings lie in a horizontal plane. CH. XVlIl] STRING FIGURES 353

Text Appearing After Image:
Figure iii. Cafs-Eye» Gath-Eye can be got from Snuffer-Trays thus. I suppose that Snuffer-Trays is held by Q. First. P inserts the thumb and index-finger of eachhand from below into those angles of the two side crosses of Snuffer-Trayswhich lie towards Qs hands, both thumbs being towards Qs left hand.Second. P takes hold of each cross with the thumbs and fingers and pulls itdownwards, then he separates his hands thus bringing each cross below itscorresponding horizontal string, and continuing the motion he passes the crossoutside, round, and then above the horizontal string. Third. P turns eachthumb and finger inwards {i.e. towards the centre of the figure) between the twohorizontal strings through two right angles taking the horizontal strings withthem. Lastly. P pushes his fingers down, separates the index-fingers from thethumbs, and then, drawing his hands apart, removes the figure from Qs hands. The figure now is in a horizontal plane; but for clearness I have drawn itas seen by

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