Basic Examples (7) 

Get the measure of a Simplex:

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Compare to Euclidean distance:

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Get the measure of a Triangle:

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Compare to Area:

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Get the measure of a random 100-dimensional Simplex:

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Get the measure of a simplicial complex, represented as a list of simplices:

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Get the measure of a simplicial complex, represented by lists of vertices:

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Specify a dimension to measure:

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Get the measure of a MeshRegion:

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Properties and Relations (7) 

The measure for Point corresponds to counts:

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For mesh regions, SimplexMeasure is equivalent to RegionMeasure:

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SimplexMeasure works for arbitrary dimension:

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Compare to RegionMeasure:

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SimplexMeasure performs best when given lists of vertices as an array:

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Get the measure of the first 10 standard simplices:

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Here’s the corresponding formula:

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SimplexMeasure uses more efficient methods for simplicial complexes below 6 dimensions:

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Measure a simplex and its boundary:

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Possible Issues (1) 

SimplexMeasure is not supported for abstract simplices:

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