PUZZLE IBM-242
Five L/J Tetrominoes
IBM Research · Ponder This · 2018-06
IBM Ponder This #242 · June 2018
There are two L-shaped one-sided tetrominoes - tetrominoes that can be translated and rotated but not flipped:
X
X
XX
and
X
X
XX
Known as "J" and "L", respectively. The following shape can be created both from three "L"s and from three "J"s (how?):

This shape is symmetrical (using the drawn top-left to bottom-right diagonal as an axis) and has a hole inside.
This month's challenge is to find an asymmetrical shape without holes that can be constructed both from five "L"s and from five "J"s.
Solution
Best opened after a real attemptTo be added.