hexagon is the name of a six-sided polygon.
hexagon is the name of a six-sided polygon.
what is the name of a six-sided polygon?
hexagon
a 4-dimensional uniform duoprism is created by the product of a regular "n"-sided polygon and a regular "m"-sided polygon with the same edge length. it is bounded by "n" "m"-gonal prisms and "m" "n"-gonal prisms. for example, the cartesian product of a triangle and a hexagon is a duoprism bounded by 6 triangular prisms and 3 hexagonal prisms.









































bullet::::- when "m" and "n" are identical, the resulting duoprism is bounded by 2"n" identical "n"-gonal prisms. for example, the cartesian product of two triangles is a duoprism bounded by 6 triangular prisms.
duoprism
in ancient china, values for included 3.1547 (around 1 ad), (100 ad, approximately 3.1623), and (3rd century, approximately 3.1556). around 265 ad, the wei kingdom mathematician liu hui created a polygon-based iterative algorithm and used it with a 3,072-sided polygon to obtain a value of of 3.1416. liu later invented a faster method of calculating and obtained a value of 3.14 with a 96-sided polygon, by taking advantage of the fact that the differences in area of successive polygons form a geometric series with a factor of 4. the chinese mathematician zu chongzhi, around 480 ad, calculated that and suggested the approximations = 3.14159292035... and = 3.142857142857..., which he termed the "milü" ("close ratio") and "yuelü" ("approximate ratio"), respectively, using liu hui's algorithm applied to a 12,288-sided polygon. with a correct value for its seven first decimal digits, this value of remained the most accurate approximation of available for the next 800 years.
pi