Can My Selfie Fit This Huge Frame?

Probability Level 4

Windows are back!

Here I connect some windows (see this to know what it is) to form an image frame.

The frame has thickness, width and height of 1,2016,10081, 2016, 1008, respectively. Here's the model:

How many triangles are there in the frame?

Bonus: Generalise it for a frame of size x×yx \times y.

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