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##Canvas, 14 12 bytes H；［⌐⌐∔＊×∔；３＊＋

####Explanation:

Canvas, 14 12 bytes

H；［⌐⌐∔＊×∔；３＊＋

Explanation:

##Canvas, 14 bytes H；［：：：２＊×∔；３＊＋

Code      |Instruction                                                          |Stack
----------+---------------------------------------------------------------------+-------------------------
          |Push input to stack (implicit)                                       |I
H         |Push "H" to stack                                                    |I,"H"
；        |Swap the top two stack items                                         |"H",I
［        |The following ToS (input) times:                                     |X
    ：：：|Duplicate ToS (result from last loop ("H" if first loop)) three times|X,X,X,X
    ２＊  |Repeat twice vertically                                              |X,X,X,X\nX
    ×     |Prepend                                                              |X,X,XX\nX
    ∔    |Join vertically                                                      |X,X\nXX\nX
    ；    |Swap top two stack items                                             |X\nXX\nX,X
    ３＊  |Repeat three times vertically                                        |X\nXX\nX,X\nX\nX
    ＋    |Join horizontally                                                    |X<space>X\nXXX\nX<space>X

Where I is the input, X is the pattern generated by the previous loop ("H" for the first loop), and <space> is the empty space on the first and third row of the pattern, added implicitly by ＋.

##Canvas, 14 12 bytes H；［⌐⌐∔＊×∔；３＊＋

Code    |Instruction                                                         |Stack
--------+--------------------------------------------------------------------+-------------------------
        |Push input to stack (implicit)                                      |I
H       |Push "H" to stack                                                   |I,"H"
；      |Swap the top two stack items                                        |"H",I
［      |The following ToS (input) times:                                    |X
    ⌐⌐  |Duplicate ToS (result from last loop ("H" if first loop)) four times|X,X,X,X,X
    ∔   |Join vertically                                                     |X,X,X,X\nX
    ×   |Prepend                                                             |X,X,XX\nX
    ∔   |Join vertically                                                     |X,X\nXX\nX
    ；  |Swap top two stack items                                            |X\nXX\nX,X
    ３＊|Repeat three times vertically                                       |X\nXX\nX,X\nX\nX
    ＋  |Join horizontally                                                   |X<space>X\nXXX\nX<space>X
        |End loop (implicit)                                                 |X
        |Print ToS (implicit)                                                |

Where I is the input, X is the pattern generated by the previous loop ("H" for the first loop), and <space> is the empty space on the first and third row of the pattern, added implicitly by ＋.

-2 bytes thanks to dzaima!

Code      |Instruction                                                          |Stack

          |Push input to stack (implicit)                                       |I
H         |Push "H" to stack                                                    |I,"H"
；        |Swap the top two stack items                                         |"H",I
［        |The following ToS (input) times:                                     |X
    ：：：|Duplicate ToS (result from last loop ("H" if first loop)) three times|X,X,X,X
    ２＊  |Repeat twice vertically                                              |X,X,X,X\nX
    ×     |Prepend                                                              |X,X,XX\nX
    ∔    |Join vertically                                                      |X,X\nXX\nX
    ；    |Swap top two stack items                                             |X\nXX\nX,X
    ３＊  |Repeat three times vertically                                        |X\nXX\nX,X\nX\nX
    ＋    |Join horizontally                                                    |X<space>X\nXXX\nX<space>X

Code      |Instruction                                                          |Stack
----------+---------------------------------------------------------------------+-------------------------
          |Push input to stack (implicit)                                       |I
H         |Push "H" to stack                                                    |I,"H"
；        |Swap the top two stack items                                         |"H",I
［        |The following ToS (input) times:                                     |X
    ：：：|Duplicate ToS (result from last loop ("H" if first loop)) three times|X,X,X,X
    ２＊  |Repeat twice vertically                                              |X,X,X,X\nX
    ×     |Prepend                                                              |X,X,XX\nX
    ∔    |Join vertically                                                      |X,X\nXX\nX
    ；    |Swap top two stack items                                             |X\nXX\nX,X
    ３＊  |Repeat three times vertically                                        |X\nXX\nX,X\nX\nX
    ＋    |Join horizontally                                                    |X<space>X\nXXX\nX<space>X