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It seems to follow that with these types of 'triaxial' puzzles, there comes the obvious assemblage of multiple pieces that usually form into three major groups -- with possible smaller sub-groups if the puzzle is large enough to support a great many pieces, such as the GreatGrandPapa Chuck (150 pcs) in the 'Chuck' family sold by Pentangle of England, and the Japanese Crystal (aka The Great Pagoda - 51 pcs) that is seen throughout the Internet on several websites .
In describing the maneuvers of this small puzzle, I chose to designate certain pieces into just the three main axial groups . By doing this, I hope to achieve an easier understanding of the overall scheme by simplifying the progressive steps .
The first picture that follows shows Group 3 starting to be disassembled - the first piece being the un-notched one . Group 2 follows that . . . and Group 1 is the last .

    Key (un-notched) piece is removed first . . . . . first axial piece of Group 1

    Next remove both curved braces (in this puzzle, they are only used aestheitcally)
Without them the puzzle would look like any ordinary 6-pc burr . . . . .
. . . . . with them, the puzzle takes on a 'global' effect

The next six pictures show the turning of the puzzle in order to view the removal of Group 2 face on

                                                                                                            Here, remove the fourth piece of Group 1
                                                                                                (second axial)
Lift all of Group 2 slightly upwards as to allow the axial piece just enough room to be removed

    . . . after which Group 2 will drop all the way down                   first axial piece of Group 2 is removed

    First curved brace is removed                                 Second curved brace is removed

With the second axial of Group 2 removed, you now just have Group 3 standing

The next four pictures turn the puzzle for the last removal phase



    First axial piece is removed                          first curved brace is removed

Second curved brace removed

    Group 1                                                                                      Group 2

    Group 3                                                                                      . . . with base