SOLVED

# Copy Array N times with excel formula

Copper Contributor

# Copy Array N times with excel formula

Hello everyone,

I am working on defining a rectangle using two points: the initial point and the end point. What I want to achieve is to subdivide the segments of the rectangle N times based on both the X and Y coordinates, and then get the coordinates of these points. The goal is to get these coordinates in two rows (I thought maybe an array should work in this case). I have managed to get arrays using the SEQUENCE command, but I'm having difficulty duplicating that array multiple times.

Coordinate X =SEQUENCE(1;G4+1;C5;I4)

Coordinate Y =SEQUENCE(1;H4+1;D5;J4)

What I need now is to repeat these array N times.

This is an example for these inputs;

Coordinate X: {0,5,10,0,5,10,0,5,10,0,5,10,0,5,10,0,5,10}

Coordinate Y: {0,0,0,2,2,2,4,4,4,6,6,6,8,8,8,10,10,10}

As you can see, what I want is:

For X coordinates, multiply the initial array {0,5,10} 5 (Y Subdivision)+1 times to get {0,5,10,0,5,10,0,5,10,0,5,10,0,5,10,0,5,10}

For Y coordinates, repeat each number of the array {0,2,4,6,8,10} 2 (X Subdivision)+1 times getting {0,0,0,2,2,2,4,4,4,6,6,6,8,8,8,10,10,10}

I've read some posts on this issue such as this one:

And while the solutions involved column arrays, I'm having trouble applying those solutions to row arrays.

Any help would be greatly appreciated! Thanks in advance!

2 Replies

# Re: Copy Array N times with excel formula

This is the formula in cell A7:

=TOROW(IFNA(EXPAND(SEQUENCE(1;G4+1;C5;I4);H4+1);SEQUENCE(1;G4+1;C5;I4)))

This is the formula in cell A8:

=TOROW(IFNA(EXPAND(SEQUENCE(1;H4+1;D5;J4);G4+1);SEQUENCE(1;H4+1;D5;J4));;TRUE)

With Office 365 or Excel for the web you can apply these formulas.

best response confirmed by Borja710 (Copper Contributor)
Solution

# Re: Copy Array N times with excel formula

@Borja710 My favorite method for repeating values in Excel for MS365 is the IF / SEQUENCE method. For example, to repeat the word "Test" 3 times in a 1 column x 3 row array, use the following formula:

``=IF(SEQUENCE(3), "Test")``

Basically, the IF function treats any numeric value in the logical_test argument as TRUE (with the exception of 0, which is treated as FALSE). Since SEQUENCE(3) returns {1;2;3}, the IF function reads this as {TRUE;TRUE;TRUE}, and since the [value_if_true] is "Test", it returns {"Test";"Test";"Test"} as the final result.

This method can also be used to repeat a one-dimensional range or array. For example, to repeat a single row of data 3 times, the same formula can be applied as follows:

``=IF(SEQUENCE(3), A1:C1)``

Likewise, to repeat a single column of data 3 times, the same formula can be used, but with the [columns] parameter instead:

``=IF(SEQUENCE(, 3), A1:A3)``

This can also be combined with either TOROW or TOCOL to output the results to a single row or column. For example, your X-axis points can be generated and output to a single row with the following formula:

``=TOROW(IF(SEQUENCE(6), SEQUENCE(, 3, 0, 5)))``

Likewise, the formula for the Y-axis points would be virtually the same, but with the rows and [columns] arguments reversed:

``=TOROW(IF(SEQUENCE(, 3), SEQUENCE(6,, 0, 2)))``

And with the necessary variables input directly on the worksheet, the final formula would look something like this (combined with the VSTACK function):

``````=VSTACK(
TOROW(IF(SEQUENCE(E5+1), SEQUENCE(, E4+1, C4, F4))),
TOROW(IF(SEQUENCE(, E4+1), SEQUENCE(E5+1,, C5, F5)))
)``````

Repeating Arrays with IF / SEQUENCE

Please see the attached workbook, if desired...

1 best response

Accepted Solutions
best response confirmed by Borja710 (Copper Contributor)
Solution

# Re: Copy Array N times with excel formula

@Borja710 My favorite method for repeating values in Excel for MS365 is the IF / SEQUENCE method. For example, to repeat the word "Test" 3 times in a 1 column x 3 row array, use the following formula:

``=IF(SEQUENCE(3), "Test")``

Basically, the IF function treats any numeric value in the logical_test argument as TRUE (with the exception of 0, which is treated as FALSE). Since SEQUENCE(3) returns {1;2;3}, the IF function reads this as {TRUE;TRUE;TRUE}, and since the [value_if_true] is "Test", it returns {"Test";"Test";"Test"} as the final result.

This method can also be used to repeat a one-dimensional range or array. For example, to repeat a single row of data 3 times, the same formula can be applied as follows:

``=IF(SEQUENCE(3), A1:C1)``

Likewise, to repeat a single column of data 3 times, the same formula can be used, but with the [columns] parameter instead:

``=IF(SEQUENCE(, 3), A1:A3)``

This can also be combined with either TOROW or TOCOL to output the results to a single row or column. For example, your X-axis points can be generated and output to a single row with the following formula:

``=TOROW(IF(SEQUENCE(6), SEQUENCE(, 3, 0, 5)))``

Likewise, the formula for the Y-axis points would be virtually the same, but with the rows and [columns] arguments reversed:

``=TOROW(IF(SEQUENCE(, 3), SEQUENCE(6,, 0, 2)))``

And with the necessary variables input directly on the worksheet, the final formula would look something like this (combined with the VSTACK function):

``````=VSTACK(
TOROW(IF(SEQUENCE(E5+1), SEQUENCE(, E4+1, C4, F4))),
TOROW(IF(SEQUENCE(, E4+1), SEQUENCE(E5+1,, C5, F5)))
)``````

Repeating Arrays with IF / SEQUENCE

Please see the attached workbook, if desired...