GEOMETRIC AESTHETIC

PATTERNS, GEOMETRY CONCEPTS, TESSELLATIONS, FRACTALS, EUCLIDEAN GEOMETRY, SPIROGRAPHS, SHAPES, SACRED GEOMETRY, ISOMETRIC PROJECTIONS, PROCESSING CODES, GEOMETRIC ART & DESIGN

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alexrossa:

2012 / Communication // Vector graphic ///

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777

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$Alexander’s Horned Sphere is formed by successively growing pairs of horns that are almost interlocked and whose end points approach each other. It is a fractal composed of an infinite number of interlocking pairs of horns.$

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$kugelblitzer: I just made a fractal based on my own formula z = z * (z mod x) (could easily have been done before) and I defined z mod x for complex z and x as z - trunc(x/y)*y (the function ‘trunc’ just rounds towards 0). This image uses the complex value of the pixel as the initial value, 2 as x, 100 as the bailout value and with 100 iterations (more iterations doesn’t make much difference). It’s not that interesting to zoom in on. Turned out surprisingly beautiful and artistic. I might do some more of these; it’s really satisfying for like 2 minutes work. If you’re not into it I apologise.$

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638

geometrydaily:

#405 Octangularity – A new minimal geometric composition each day

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crimsontea:

toroidal space. the golden ratio and the torus. theory of the universe. fabonacci

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$ipiphi: Various values of $1^\pi$ in the complex plane. It is worth noting that the seventh value is very close to $1$. This corresponds to $\frac{22}{7}$ being a very good rational approximation to $\pi$. Also very interesting: the next closest to $1$ is the $106^{th}$ value. This corresponds to the second convergent, $\frac{333}{106}$, in the continued fraction expression for $\pi$.$

This blog is one year old today

Thank you for your geometric interest over the past twelve months!

3 notes - 17 June

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