@Christian Wolinski 

     As you instruct, the points of the same color on the lines x =1, x =2, ... the VerticalCoord of these points could be equal, not true to my problem.

@Christian Wolinski 

     Thank you for helping me so much!

     My problem, I want to arrange 63 points with coordinates that are integers into rectangles limited by straight lines x=1, x=7, y=1, y=9 so:

• With 7 black points: there is 1 point located on the straight line x =1, there is 1 point located on the line x =2,  there is 1 point located on the line x = 3, there is 1 point located on the line x = 4, there is 1 point located on the line x = 5, there is 1 point located on the line x = 6, there is 1 point located on the line x = 7 and the VerticalCoord of these 7 points is always different.
• The same goes for 7 red points.
• With 8 yellow points: there are 2 points located on the straight line x =1, there are 2 points located on the line x =4,  there are 2 points located on the line x = 5, there are 2 points located on the line x = 7 and the VerticalCoord of these 8 points is always different.
• With 6 pink points: there are 2 points located on the straight line x =2, there are 2 points located on the line x =3,  there are 2 points located on the line x = 6 and the VerticalCoord of these 6 points is always different.
• With 8 brown points: there are 2 points located on the straight line x =1, there are 2 points located on the line x =3,  there are 2 points located on the line x = 5, there are 2 points located on the line x = 7 and the VerticalCoord of these 8 points is always different.
• With 6 purple points: there are 2 points located on the straight line x =2, there are 2 points located on the line x =4,  there are 2 points located on the line x = 6 and the VerticalCoord of these 6 points is always different.
• With 9 blue points: there are 3 points located on the straight line x =1, there are 3 points located on the line x =2,  there are 3 points located on the line x = 7 and the VerticalCoord of these 9 points is always different.
• With 6 green points: there are 3 points located on the straight line x =3, there are 3 points located on the line x =5 and the VerticalCoord of these 6 points is always different.
• With 6 orange points: there are 3 points located on the straight line x =4, there are 3 points located on the line x =6 and the VerticalCoord of these 6 points is always different.

     Help me find the integer coordinates of these 63 points when arranging them on the rectangle with the Maple command.

     Thank you so much for your help!

@Kitonum 

@Kitonum  

The expr expression I typed directly from Maple's Palette, Accents is as the expression (*).

You help me to be expr1, expr2 like yours by Maple command.

Thank you very much!

Thank DSkoog 543 very much !

I want to download the whole MaplePrimes site so I can view all the questions/posts offline.

Thank you very much!

Thank dskoog 85 very much!

My Maple is running on Windows XP.

Thank you very much!

My Maple is running on Windows XP.

Thank you very much!