Visualizing the Orion Constellation and a question for those who have already done this project

Hi,

this is my project Orion Constellation.
on this project, I still have a question:
where are from the coordinates x,y,z that mentioned in pdf file “The Orion constellation as an installation”
The celestial coordinates x,y,z from http://www.stellar-database.com/ are differ.
or how transform them into the same system
for example: in stellar-database for alpha orionis Celestial (X,Y,Z) coordinates in ly: 8.9, 424, 55
and we have x=-0.41 y = 4.12 z = 2.06
it would be very nice if you could check my solution and answer the question.
Thanks