One or many triangles?

We were strolling around in the duty free stores at Istanbul’s Airport.

My eyes caught a very nice example of triangle-counting riddle:
Small- Big Istanbul board

 

 

 

 

“How many triangles are hiding here?” – I asked.

“Plenty” – she said.

“Correct” – I said.

“I have to count them all…”

But then she showed me her hand…

 

“It’s only one!” I said.

“Correct” – she said.Small triangle ring

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