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Golden spirals are self-similar. The shape is infinitely repeated when magnified. In geometry, a golden spiral is a logarithmic spiral whose growth factor is φ, the golden ratio. [1] That is, a golden spiral gets wider (or further from its origin) by a factor of φ for every quarter turn it makes.
The golden spiral is a logarithmic spiral that grows outward by a factor of the golden ratio for every 90 degrees of rotation (pitch angle about 17.03239 degrees). It can be approximated by a "Fibonacci spiral", made of a sequence of quarter circles with radii proportional to Fibonacci numbers.
The history of video games began in the 1950s and 1960s as computer scientists began designing simple games and simulations on minicomputers and mainframes. Spacewar! was developed by Massachusetts Institute of Technology (MIT) student hobbyists in 1962 as one of the first such games on a video display. The first consumer video game hardware ...
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 Fibonacci sequence is frequently referenced in the 2001 book The Perfect Spiral by Jason S. Hornsby. A youthful Fibonacci is one of the main characters in the novel Crusade in Jeans (1973). He was left out of the 2006 movie version, however. The Fibonacci sequence and golden ratio are briefly described in John Fowles's 1985 novel A Maggot.
A turn-based grand strategy video game that allows players to build and lead a nation through an alternate history from Stone Age to Singularity Age. Millennia (video game) 2024: 10,000 BC – 2100s AD: A 4X turn-based strategy video game in which players lead their nation through 10 different ages, from Age of Stone to Age of Transcendence.
Video game journalist Steven L. Kent argues in his book The Ultimate History of Video Games that it began the following year, when Space Invaders gained popularity in the United States [2] and when vector display technology, first seen in arcades in 1977's Space Wars, rose to prominence via Atari's Asteroids. Kent says the period ended in 1983 ...
The early history of video games, therefore, covers the period of time between the first interactive electronic game with an electronic display in 1947, the first true video games in the early 1950s, and the rise of early arcade video games in the 1970s (Pong and the beginning of the first generation of video game consoles with the Magnavox ...