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The Tesseract
The tesseract is a 4-dimensional hyper-cube which is fun to animate by rotating it around one or more planes and projecting it onto 3-dimensional space. The post also contains animations of a rotating 4-dimensional sphere (which may sound boring at first, but projected onto 3d looks quite cool). We end with some thoughts.
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The Symmetric Kronecker Product
The symmetric Kronecker product can be derived from the Kronecker product. It again appears naturally in some machine learning applications. This post also discusses the lesser known anti-symmetric Kronecker product for completeness.
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The Kronecker Product
The Kronecker product is a tensor product that appears frequently in machine learning and its applications. This post collects some useful properties and some other insights on it.