Upper category in row, down category in column

[stslit]

Good day everybody.

I used advanced search, and i use google search and I couldn't find answer to my question.
How can I create this "Upper category in row, down category in column"
Like this: I open site and I see all upper categories list all in one row.
If I choose one category open this and i must see under category list in column (one category per row).

Where I can find a solution? Can you write me a places in code where I must to create changes?

Thanks.