Tag Archives: math

Roger Penrose – Forbidden crystal symmetry in mathematics and architecture

Sir Roger Penrose provides a unique insight into the “forbidden symmetry” of his famous penrose tiles and the use of non-repeating patterns in design and architecture. It is a rigorous mathematical theorem that the only crystallographic symmetries are 2-fold, 3-fold,… Continue reading →

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Butterfly Wing Colors Come From Space-Age Structures

Some butterflies get their fabulous colors from light refracted through membrane shapes that were first discovered by mathematicians and applied in space-age material science. Using microscopes with three-dimensional nanoscale resolution, Yale University researchers found that shades of green in the… Continue reading →

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The Fourier Transform

Fourier Transform The Fourier transform is a mathematical operation that decomposes a signal into its constituent frequencies. Thus the Fourier transform of a musical chord is a mathematical representation of the amplitudes of the individual notes that make it up.… Continue reading →

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