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Tag: golden ratio

The golden ratio w/ colors

By Jack Posted on August 26, 2015 Posted in art, math Tagged with color ratio, golden ratio

The tutor further explores the golden ratio. In my previous posts here and here, I’ve discussed some aspects of the golden ratio. Trying to find other special facets of it, I’ve dreamed up color combinations that express the golden ratio …

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Math: radical expressions: the golden ratio, continued

By Jack Posted on August 22, 2015 Posted in math Tagged with golden ratio, rectangle with golden ratio

The tutor continues about the golden ratio. In yesterday’s post I brought up the golden ratio. Historically, it’s believed to be the ideal shape for a rectangle. The ratio of length to width is (1+5^(1/2)):2 or 1.618:1 Below is a …

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Radical expressions: The golden ratio

By Jack Posted on August 21, 2015 Posted in math Tagged with golden ratio, solving for the golden ratio

The tutor introduces the golden ratio. The golden ratio is defined as x/y, where x/y = (x+y)/x, x>y, y>0 Muliplying both sides by xy gives x^2=xy+y^2 which leads to x^2-xy-y^2=0 Using the quadratic formula to solve for x, we imagine …

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