Array ( [0] => 14993515 [id] => 14993515 [1] => cswiki [site] => cswiki [2] => 9simplex [uri] => 9simplex [3] => [img] => [4] => [day_avg] => [5] => [day_diff] => [6] => [day_last] => [7] => [day_prev_last] => [8] => [oai] => [9] => [is_good] => [10] => [object_type] => [11] => 0 [has_content] => 0 [12] => [oai_cs_optimisticky] => ) Array ( [0] => V [[geometrie|geometrii]] je '''9simplex''' devítirozměrnou analogií [[Čtyřstěn|tetraedr]]u. [1] => [2] => == Objem a obsah 9simplexu == [3] => Následující vzorce udávají, jaký je objem '''9simplexu''', a jeho k-rozměrné povrchy (což je vždy obsah k-rozměrné stěny krát počet těchto stěn) v závislosti na hraně a. [4] => [5] => [6] => V={\sqrt 5 a^9\over 5806080} [7] => [8] => [9] => S_{8D}={\sqrt 9 a^8\over 64512} [10] => [11] => [12] => S_{7D}={a^7\over 448} [13] => [14] => [15] => S_{6D}={\sqrt 7 a^6\over 48} [16] => [17] => [18] => S_{5D}={7 \sqrt 3 a^5\over 16} [19] => [20] => [21] => S_{4D}={21 \sqrt 5 a^4\over 8} [22] => [23] => [24] => S_{3D}={105 \sqrt 2 a^3\over 6} [25] => [26] => [27] => S_{2D}={30 \sqrt 3 a^2} [28] => [29] => [30] => S_{1D}={45a} [31] => [32] => [33] => {{polychora}} [34] => [35] => [[Kategorie:Vícerozměrné geometrické útvary]] [] => )
good wiki

9simplex

V geometrii je 9simplex devítirozměrnou analogií tetraedru.

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