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Create combination of two pandas dataframes in two dimensions

I have two pandas dataframes, df1 and df2. I want to create a dataframe df3 that contains all combinations using one column in df1 and one column in df2. The pseudocode of doing this inefficiently would be something like this:

df3 = []
for i in df1:
     for j in df2:
         df3.append(i + j) # where i + j is the row with the combined cols from df1 and df2

Here's the format for df1:

df1_id    other_data_1    other_data_2
1         0               1
2         1               5

df2:

df2_id    other_data_3    other_data_4
1         0               1
3         2               2

And the goal is to get this output for df3:

df1_id    df2_id    other_data_1    other_data_2    other_data_3    other_data_4
1         1         0               1               0               1
1         3         0               1               2               2
2         1         1               5               0               1
2         3         1               5               2               2

Update pandas 1.2.0+

df1.merge(df2, how='cross')

Set a common key between the two dataframes and use pd.merge :

df1['key'] = 1
df2['key'] = 1

Merge and drop key column:

df3 = pd.merge(df1,df2,on='key').drop('key',axis=1)
df3

Output:

   df1_id  other_data_1  other_data_2  df2_id  other_data_3  other_data_4
0       1             0             1       1             0             1
1       1             0             1       3             2             2
2       2             1             5       1             0             1
3       2             1             5       3             2             2

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