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The golden spiral (red) and its approximation by quarter-circles (green), with overlaps shown in yellow A logarithmic spiral whose radius grows by the golden ratio per 108° of turn, surrounding nested golden isosceles triangles. This is a different spiral from the golden spiral, which grows by the golden ratio per 90° of turn. [58]
The Bethungra Spiral is a heritage-listed rail spiral on the Main Southern line near Bethungra, between Junee and Cootamundra. The spiral carries the northbound track, forming a part of the Sydney–Melbourne rail corridor. [1] [2] It is a listed heritage item, having been added to the New South Wales State Heritage Register on 2 April 1999. [3]
Parkour. Parkour ( French: [paʁkuʁ]) is an athletic training discipline or sport in which practitioners (called traceurs) attempt to get from one point to another in the fastest and most efficient way possible, without assisting equipment and often while performing feats of acrobatics. [ 5]
The Parker Solar Probe ( PSP; previously Solar Probe, Solar Probe Plus or Solar Probe+) [6] is a NASA space probe launched in 2018 with the mission of making observations of the outer corona of the Sun. It will approach to within 9.86 solar radii (6.9 million km or 4.3 million miles) [7] [8] from the center of the Sun, and by 2025 will travel ...
Jinjiazhuang Tunnel (Chinese: 金家庄隧道) or Jinjiazhuang Spiral Tunnel (Chinese: 金家庄螺旋隧道), is the world's longest highway spiral tunnel. [1] [2] The spiral has a curve radius of 860 metres (2,820 ft) and the elevation difference between the tunnel entrance and exit is 112 metres (367 ft).
To map between the circle of fifths and the chromatic scale (in integer notation) multiply by 7 , and for the circle of fourths multiply by 5 (P5). In twelve-tone equal temperament, one can start off with an ordered 12-tuple ( tone row ) of integers:
A two-dimensional Poincaré section of the forced Duffing equation. In mathematics, particularly in dynamical systems, a first recurrence map or Poincaré map, named after Henri Poincaré, is the intersection of a periodic orbit in the state space of a continuous dynamical system with a certain lower-dimensional subspace, called the Poincaré section, transversal to the flow of the system.
Ulam spiral of size 201×201. Black dots represent prime numbers. Diagonal, vertical, and horizontal lines with a high density of prime numbers are clearly visible. For comparison, a spiral with random odd numbers colored black (at the same density of primes in a 200x200 spiral). The Ulam spiral or prime spiral is a graphical depiction of the ...