What is the exact area of unconformality of bipolar oblique conic conformal?

[Piotr]

To prevent the hardcoded conformal effect, this is the alternate version with 0.999999999 horizontal scale.

It is evident that there is an entire area where the projection fails conformality. That's because at some point they had to stretch the projections to align. What is the exact area where it happens?

[Piotr]

The projection that induces Nasty issue is also unconformal at specific areas:

[daan]

Distortion settings: Mixed distortion, logarithmic scale, Min 1 Max 2:

BOC.jpg (52.98 KiB) Viewed 1821 times

— daan

[Piotr]

Mercator is unconformal at some point as well.

[Piotr]

Distortion settings: Mixed distortion, logarithmic scale, Min 1 Max 2:

BOC.jpg
— daan

I'm showing specifically angular distortion here.

[daan]

I'm showing specifically angular distortion here.

I’m showing specifically the non-conformal region, as requested. The discontinuity is clearly visible. The regions near the discontinuity that are not part of the conformal parent projections are visible as deviation from the behavior of the conformal projections.

You should examine the generating formulas if you want a precise answer. Do you have those?

— daan

[Piotr]

I'm showing specifically angular distortion here.

I’m showing specifically the non-conformal region, as requested. The discontinuity is clearly visible. The regions near the discontinuity that are not part of the conformal parent projections are visible as deviation from the behavior of the conformal projections.

You should examine the generating formulas if you want a precise answer. Do you have those?

— daan

So the entire projection is unconformal?

[daan]

As you know very well, most of the projection is conformal. Is there a reason you ignored my explanation?

— daan

[daan]

Or just use the same process you already used but with much smaller maximum angular distortion setting for distortion visualization in order to arrive at something more obvious that you might understand? Do you need something more precise than this?

BOC1.jpg (25.53 KiB) Viewed 1809 times

— daan

[daan]

Mercator is unconformal at some point as well.

As you know very well, these are not examples of departures from conformality; they are examples of limitations in Geocart’s numerical assessment of conformality.

— daan