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| View Original: | Simple 4-quadrant heart curve.svg (625x600) | |||
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| Courtesy of: | commons.wikimedia.org | More Like This | ||
| Keywords: Simple 4-quadrant heart curve.svg Mathematically simple heart shape Some have come up with advanced and complex algebraic or trigonometric equations to approximate the heart/love symbol This image instead uses two simple perpendicular straight lines and two partial circular arcs Mathematically x and y are related by the following four equations one applying in each quadrant ;Ist quadrant x ‰¥0 y ‰¥0 x “3 3030615433 <sup>2</sup>+ y “2 6969384567 <sup>2</sup> 14 5469540784 ;IInd quadrant x ‰¤0 y ‰¥0 x+3 3030615433 <sup>2</sup>+ y “2 6969384567 <sup>2</sup> 14 5469540784 ;IIIrd quadrant x ‰¤0 y ‰¤0 x+y “6 ;IVth quadrant x ‰¥0 y ‰¤0 y “x “6 Where the approximate constants in the first two equations have the following exact values 14 5469540784 144/ ˆš2+ ˆš3 <sup>2</sup> 3 3030615433 ˆš108 / ˆš2+ ˆš3 2 6969384567 6 “ ˆš108 / ˆš2+ ˆš3 The first of these is the square of the radius of the circular arcs There's a 90° corner at coordinate point 0 “6 and a 60° corner at 0 4 6039619279 Where 4 6039619279 6 1 “ ˆš3 “1 / ˆš2+ ˆš3 The width of the area enclosed by the curve is 14 2342169713 12 2+ ˆš3 / ˆš2+ ˆš3 while the height is 12 510985399 12 1+ 1 “ ˆš 75 / ˆš2+ ˆš3 Own HandSVG 2014-07-30 AnonMoos For images using this heart shape see File Heart-padlock svg and related images Alternative mathematically-defined heart shapes <gallery>File Circle2heart png File ImplicitHeart png File GJL-fft-herz png File GJL-fft-herz svg File Heart plot svg File Heart3D png </gallery> Heart shapes in mathematics SVG Love hearts Hearts with transparent background | ||||
