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Geometric Solution to the Continuum Hypothesis

In this video, Colin Power from In2infinity discusses the nature of infinity and the Continuum Hypothesis, which deals with different types of infinity. He explains George Cantor’s work on infinite sets and the concept of fractal geometry. Colin Power then demonstrates a method to show that there is an infinity between whole numbers and decimal fractions, disproving Cantor’s conjecture.

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P-orbital Geometry

P-orbitals form in sets of 6 producing an octahedral structure. By producing this form based on the average radii for each set, we can approximate the radius for almost all elements on the periodic table.

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S orbital geometry

S-orbital Geometry

S-orbitals form the only set of elements occupying a spherical shell. Whilst quantum theory suggests it is ‘only applicable’ to these types of atom, investigation of the atomic radius shows a discrepancy of over 100% for some elements.

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