Converting Cube Coordinates of Hexagon Maps into Matrices












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I came across an article here that has discussed three types of hexagonal coordinate system (square, parity, and cube) as shown in this figure and their transformed matrices (equation (1), (2), and (3) in this link are the converted matrices of square, parity, and cube coordinates respectively). While the matrix conversion of the square and parity coordinates can be easily inferred from the concept of a 2-D matrix, but the three-dimensional matrix conversion of the cube coordinates is not clear from the article.



My question is how they have made the three-dimensional matrix from the cube coordinates? I queried in google regarding this type of conversion, but I am not getting any detailed illustration.










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    I came across an article here that has discussed three types of hexagonal coordinate system (square, parity, and cube) as shown in this figure and their transformed matrices (equation (1), (2), and (3) in this link are the converted matrices of square, parity, and cube coordinates respectively). While the matrix conversion of the square and parity coordinates can be easily inferred from the concept of a 2-D matrix, but the three-dimensional matrix conversion of the cube coordinates is not clear from the article.



    My question is how they have made the three-dimensional matrix from the cube coordinates? I queried in google regarding this type of conversion, but I am not getting any detailed illustration.










    share|cite|improve this question









    New contributor




    Md. Hishamur Rahman is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.























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      I came across an article here that has discussed three types of hexagonal coordinate system (square, parity, and cube) as shown in this figure and their transformed matrices (equation (1), (2), and (3) in this link are the converted matrices of square, parity, and cube coordinates respectively). While the matrix conversion of the square and parity coordinates can be easily inferred from the concept of a 2-D matrix, but the three-dimensional matrix conversion of the cube coordinates is not clear from the article.



      My question is how they have made the three-dimensional matrix from the cube coordinates? I queried in google regarding this type of conversion, but I am not getting any detailed illustration.










      share|cite|improve this question









      New contributor




      Md. Hishamur Rahman is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      I came across an article here that has discussed three types of hexagonal coordinate system (square, parity, and cube) as shown in this figure and their transformed matrices (equation (1), (2), and (3) in this link are the converted matrices of square, parity, and cube coordinates respectively). While the matrix conversion of the square and parity coordinates can be easily inferred from the concept of a 2-D matrix, but the three-dimensional matrix conversion of the cube coordinates is not clear from the article.



      My question is how they have made the three-dimensional matrix from the cube coordinates? I queried in google regarding this type of conversion, but I am not getting any detailed illustration.







      matrices matrix-equations






      share|cite|improve this question









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      Md. Hishamur Rahman is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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      share|cite|improve this question









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