Orientation and shape of a single-family house - cut the corner for the terrace?

What's the point? That's completely normal. Platin Haus HRO even has that off the shelf. Look at "Blaue Aster." It's not difficult to build. Karsten

What speaks against simply making the terrace around the corner? I really don’t find the 'section' architecturally very appealing either now.

If you like this, the architect will plan it accordingly for you. Others have already had the idea as well, for example Kern-Haus with the Kern-Haus Agona. Taste is hard to argue about, I don’t think it’s that bad either, but I would only build it if the building envelope forces me to, because it’s too small or something similar. It will certainly be somewhat more expensive. But probably not so exorbitant that you would have to be afraid of it.

Blue Aster

Well, we don't mean such a small corner but quite a lot. So a triangle with approximately 4*4*6m edge length...

For the roof, one could possibly leave the triangle and place a column in the corner. - Who knows how that would look...

What speaks against simply making the terrace around the corner? I don't find the 'section' architecturally very appealing either.

Then the terrace would have to be quite large overall if you want to have enough space on each side.

The pillar then becomes a must. I would always leave the roof standing, otherwise it gets expensive and complicated. And a bit of shade at midday would also be sensible. Otherwise, thousands of rectangular bungalows have a recess with a covered terrace at the SW corner, only usually this recess is a right-angled projection. Instead, taking a slant makes the terrace a bit smaller but spares the living space. Our BU said there is no extra effort in terms of masonry. The terrace door element is even cheaper than with a corner solution. The roof construction is a bit more expensive, since here with us it is executed without a pillar. But all in all, he said, there is no reason to calculate an additional cost. Karsten

Clearly, it will then be bigger. But it’s a win-win situation. You save yourself the ugly corner (also financially) and instead build a bigger terrace.