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

Category Art & Design, Sacred Geometry, Science, Videos Tags , , ,

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

Category Science Tags , , , , , ,

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

Category Science Tags , ,