Physicist, mathematician and biologist Roger Penrose, who contributed too much scientific research and was credited with introducing Stephen Hawking to the field of black holes, and even wrote an article with him about Hawking Penrose singularity theorems, in addition to incorporating the concept of space-time awareness and said that they are related...and in this regard Both he and Hammer off argue that consciousness is the result of the effect of quantum gravity on microtubules, which they call (orchestrated objective reduction)... And Penrose may receive the Nobel Prize for the year 2020 for his proof that black holes are an inevitable result of general relativity...and he also won other prizes... Penrose is considered one of the most famous physicists in the world, but rather one of the most famous physicists of black holes and quantum gravity. In mathematics, Penrose presented many researches in topology and engineering, especially for his invention of a mathematical field called Penrose tiling, which he deduced from his contact with urbanism and Arab-Islamic planning. Penrose is an encyclopedic scientist who has excelled in almost all fields and is the last to win the Nobel Prize in Physics.
Penrose's tiling Non-periodic tiling Construction of patterns with ruler and compass Construction games for the tilings of the three types Non-periodic tiling of Non-periodic tiling are those in which there is no minimal pattern that allows the entire surface to be covered by displacement. Until the 1960s and 1970s, this was a challenge for mathematical thought. For example below, on the left a tiling constructed with an isosceles triangle. We cut the drawing in half and we move the upper half to the left, we obtain a non-periodic spiral coating. However the real challenge was to build a set of tiles that would only give non-periodic tiling. The 17 types of tiling of the plane were known when Penrose became interested in nonperiodic tiling for the purpose of mathematical entertainment. In 1984, materials with a highly ordered structure like that of crystals but not periodic were discovered: quasi-crystals. Non-periodic tiling, in particular those of Sir Roger Penrose (born in 1931) then proved to be a plausible model of these strange materials. They are said to be quasi-periodic, any pattern appearing in the tiling reappears regularly. More generally, any finite portion of the tiling, however large, repeats itself infinitely in the tiling. Penrose's tilings can all be constructed from one of a pair of golden triangles. The basic type P0 tiling is constructed only with golden triangles.
There are several types with many variations: - type P1 uses pentagons, diamonds, pentagrams and portions of pentagram; - type P2 uses darts and kites: these are two quadrilaterals, one concave and the other convex. It is demonstrated in this tiling that the ratio between the number of kites and darts tends towards the golden ratio φ.
Penrose highlighted all physical and economic tests which can be deduced are of no value if the immigrant, by conditions of race or other conditions which are inherently anti-objective, cannot be assimilated more or less easily
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