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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    $begingroup$


    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











    $endgroup$















      0












      0








      0


      0



      $begingroup$


      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











      $endgroup$




      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















      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited Jan 3 at 13:44







      Md. Hishamur Rahman

















      asked Jan 3 at 13:07









      Md. Hishamur RahmanMd. Hishamur Rahman

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