Pascal's simplex

Pascal's simplex is a mathematical term. A simplex gives a generalisation of a triangle. Pascal's simplex gives the generalisation of Pascal's triangle.

Pascal's Simplex Media

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  The first five layers of Pascal's 3-simplex (Pascal's pyramid). Each face (orange grid) is Pascal's 2-simplex (Pascal's triangle). Arrows show derivation of two example terms.

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  First four components of Pascal's 4-simplex.

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  First four components of Pascal's line.

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  First four components of Pascal's triangle.

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  First four components of Pascal's tetrahedron.