Is it possible to implement a two-way filter on the site (on Bitrix)?

Question

1C-Bitrix

Hello, friends! Help with filter.
from DB 1C to the site loads a catalog of goods. The product has properties by which filtering occurs.
but there is one but! For example: product: Connector - circle 10 per square 12.
properties, respectively for one side of the part (product):
• circle (also happens: square, hexagon, asterisk, triangle, oval, etc.)
• 10 (also happens: 6.8 ,12,15,18,20,22,25, etc.)
for the second side:
• square (there are also many variations)
•12 (there are also many variations)
(there are equal on both sides, but in general there are several thousand of them.)
but the client, while on the site, is looking for the same thing only in reverse, square 12 to circle 10.
how to implement a filter in this case, so that the client would receive the goods and the filter circle 10 to square 12, and vice versa square 12 to circle 10.
Thank you very much to everyone in advance. Sorry for the clumsy explanation.

Answer 1

Is it even possible?