Geometrics: Symetric scoring calculate

Question

After reading some of "The Symmetries of Things", I've tried to look if Im understanding the concept correctly... I'm trying to calculate the next picture symetric:

Each triangle gives us $$`*`$$ since its kleidoscopes. Also we have wanderings, so I get also $$`o`$$

A total score of $$*o$$ which is equal to $$ 3$ $$ According to the magic thorem...which means I have a mistake(since it cant get more then 2$ of symmetrics...)

Please help me to find where am I wrong?

references: https://www.crcpress.com/The-Symmetries-of-Things/Conway-Burgiel-Goodman-Strauss/p/book/9781568812205#googlePreviewContainer (You can read all what im asking on the preview section).

http://blog.kleinproject.org/?p=1381

Edit:

Another option i found(not sure about it), maybe its not wanderings instead its a miracle which gives us the score $$x$$ A total of $$*x$$ score which is then $$ 2$ $$ and could be correct according to the magic thorem.

thanks!

Answer 1

A solution was found, Since it has 45,45,90 degrees and reflection, score is *442 (reflection+pi/4+pi/4+pi/2) which is equal to 1$+3/8$+3/8$+1/4$=2$ Correct by the magic thorem. thanks everyone!