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Using the formula relating the general cubic and the associated depressed cubic, this implies that the discriminant of the general cubic can be written as (+). It follows that one of these two discriminants is zero if and only if the other is also zero, and, if the coefficients are real , the two discriminants have the same sign.
Quintic Mandelbulb Quintic Mandelbulb with C = 2. Another way to create Mandelbulbs with cubic symmetry is by taking the complex iteration formula + + for some integer m and adding terms to make it symmetrical in 3 dimensions but keeping the cross-sections to be the same 2-dimensional fractal.
A rock containing three crystals of pyrite (FeS 2). The crystal structure of pyrite is primitive cubic, and this is reflected in the cubic symmetry of its natural crystal facets. A network model of a primitive cubic system The primitive and cubic close-packed (also known as face-centered cubic) unit cells
In fiction, Adamant is referred to in the film Forbidden Planet (as "adamantine steel"), many books (such as The Adventures of Tom Sawyer, The Faerie Queene, Gulliver's Travels, His Dark Materials, The Lord of the Rings, Mathilda by Mary Shelley, and A Midsummer Night's Dream) and many games (such as Dungeons & Dragons, Final Fantasy and ...
Crystals found in rocks typically range in size from a fraction of a millimetre to several centimetres across, although exceptionally large crystals are occasionally found. As of 1999 [update] , the world's largest known naturally occurring crystal is a crystal of beryl from Malakialina, Madagascar , 18 m (59 ft) long and 3.5 m (11 ft) in ...
This is a cubic equation in y. Solve for y using any method for solving such equations (e.g. conversion to a reduced cubic and application of Cardano's formula). Any of the three possible roots will do.
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The formula for magnetite is more accurately written as FeO·Fe 2 O 3 than as Fe 3 O 4. Magnetite is one part FeO and one part Fe 2 O 3 , rather than a solid solution of wüstite and hematite . Magnetite is termed a redox buffer because, until all Fe 3+ present in the system is converted to Fe 2+ , the oxide mineral assemblage of iron remains ...