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Can we join all the corners of an irregular plot into a square and take its diagonals as the centre?

No. When part of the plot is cut, the true centre shifts, yet the square drawn through the corners stays the same, so its diagonals give a wrong centre. Diagonals were used in the earlier zoning class only because that map was regular, with the open parking area at the side.

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How do we count the length to width ratio of an L-shaped plot, for example 20 x 20 feet at the back and 10 x 30 feet in front?

An L-shaped plot is inauspicious in the first place. There is no special formula for its ratio; estimate it from its arms. The cut portion is a full loss, and how harmful it is depends on which corner is cut, which is best judged with the teacher case by case.

How do we find the centre of a plot that is irregular or stretched on one side, since the demonstration used a regular plot?

Finding the centre was covered in earlier classes. Either use software such as AutoCAD, or use the hanging method: cut out the shape, hang it from one point and mark the vertical line, then hang it from another point and mark again; the crossing is the centre. Joining diagonals gives the centre only for a regular plot.

If the plinth is a perfect right angle but balconies and projections stick out on the upper floors, is the shape irregular?

No, it is regular. Balconies are like the hair on a head; spreading hair does not change the shape of the body. The shape is the one in which the plinth beam and foundation were laid, because the underground current runs in that form.

Is a nahar mukhi (lion-faced) plot auspicious if it extends toward the South so that its South-East grows?

No. A South-East or South-West extension is not auspicious, because a plot needs its North-East extended. Even in an East-facing gaumukhi plot with a narrow front where the South-East is a right angle, the North-East gets cut, so it is not auspicious. A nahar mukhi plot gives results only when its North-East is extended.

Is the hanging method an exact way to find the centre (nabhi) of an irregular plot or flat without software?

Yes. Pin the cut-out shape to a wall, mark the point exactly below the pin in a straight vertical line and draw that line; repeat from another point, and the crossing is the centre. It is plain science of the centre of mass, since the side with more area is heavier and hangs lower. Done accurately, it gives a 100% exact centre.

My plot measures 32 by 31, so one side is shorter. Is a corner cut?

If the shortfall is on the South-West side, the South-West is cut. Simply build on an exact 31 x 31 square.

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