@geometry.in.nature 2200 volts of lightning carving geometric fractal pathways through wood. This is a dangerous experiment, don't try it at home. Another example of how electricity follows the path of least resistance and energy efficiency. Physics and fractal geometry go hand in hand.
MV Ganga Vilas will begin its journey from Varanasi and sail around 3,200 km in 51 days to reach Dibrugarh in Assam via Bangladesh, traversing across 27 river systems in two countries. The cruiser has three decks, 18 suites on board with a capacity of carrying 36 tourists.
http://geometry.in.nature Photo of Hexagonal / Cubic geometry formed by ~25hz of sound frequency vibration resonating in water.
A cymatic experiment is one that uses sound waves to form geometric shapes in a certain medium. The most common type of cymatic experiment involves the use of a plate and sand, which is placed on top of an oscillating speaker. The plate will begin to vibrate in specific patterns depending on the frequency and amplitude of the sound waves emitted from the speaker. This can create many different types of geometric patterns, including circles, triangles, squares, etc. Another famous method for generating cymatic patterns is by vibrating a bowl of water, which is the case of this photo. This is not computer graphics, but simply water. The color comes from either ink in the water or from the reflection of light above it.
Hexagonal Geometry
In addition to circles and triangles, hexagonal geometry can also be formed by cymatics experiments. Hexagons are formed when two sets of waves intersect at right angles (90 degrees). This creates a pattern that looks like a six-pointed star.
Cubic Geometry
Cubic geometry can also be created through cymatics experiments. Cubes are formed when three sets of waves intersect at right angles (90 degrees). This creates a pattern that looks like a six-sided box with rounded corners.
The shape of the medium and many other variables affects the angles of wave interference and thus in the resulting resonance and final geometric result - what is responsible for the shape formation is the resonance formed by the waves interfering with each other, so the proportion and shape of the medium directly affects the final result. The frequency of vibration influences the formation, but it is the overall resonance that is responsible for the resulting geometric shapes.
@geometry.in.nature Orbital Geometry in the Cosmos. "The Pentagram of Venus", Earth:Venus 8:13 orbital relationship near resonance.
The animation is based on data from University of Wisconsin geoscientist Steven Dutch, who created an interactive graphic in 2012, demonstrating how Venus's closest orbital points to Earth, over eight years, map out the points of a "remarkable, but not perfect" pentagram in the sky.
"The orbits are approximated as circles, so this animation cannot be used for 100% accurate predictions," Dutch stated.
All planets have elliptical orbits, making these diagrams simplified representations of the real deal. But they aren't radically far off, especially in Venus's case. Venus has the most circular orbit of any of the planets in our Solar System. In a measure of eccentricity - how much an orbit deviates from a circle - Venus scores 0.007, whereas Mercury, with the most elliptical planetary orbit in our Solar System, has an eccentricity of 0.21. This measurement is the ratio between a planet's farthest and nearest orbital point from the Sun, and gives a sense of how elongated the ellipse is.
In 8 Earth years, Venus goes around the Sun almost 13 times. Actually, it goes around 13.004 times.
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During this 8-year cycle, Venus gets as close as possible to the Earth about 13 – 8 = 5 times.
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And each time it does, Venus moves to a new lobe of the pentagram of Venus! This new lobe is 8 – 5 = 3.
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When Venus gets as close as possible to us, we see it directly in front of the Sun. This is called an inferior conjunction.
So, every 8 years there are about 5 inferior conjunctions of Venus.
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3, 5, 8, 13 are consecutive Fibonacci numbers.
As you may have heard, ratios of consecutive Fibonacci numbers give the best approximations to the golden ratio φ = (√5 – 1)/2.