Berghaus Star projection (EPSG = ESRI:102299) does not work

[coconn41]

When using sf in R to project to the Berghaus Star projection (EPSG = ESRI 102299,) all shapes become empty. Specifically, PROJ does not generate a forward projection pipeline. See the reprex below:

>library(sf)
>library(spData)
>library(tmap)
>data('world')

>world_transformed=st_transform(world,crs='ESRI:102299')

>tm_shape(world_transformed)+tm_borders()
#> Error: The shape world_transformed only contains empty units.

>system("projinfo ESRI:102299 -o PROJ")
PROJ.4 string:
Error when exporting to PROJ string: Unsupported conversion method: Berghaus_Star

>sf_proj_pipelines(st_crs(world), "ESRI:102299")$definition
[1] "+"

>system("projinfo -s EPSG:4326 -t ESRI:102299 -o PROJ")
Candidate operations found: 1
-------------------------------------
Operation No. 1:

unknown id, axis order change (2D) + Berghaus_Star_AAG, 0 m, World

PROJ string:
Error when exporting to PROJ string: Unsupported conversion method: Berghaus_Star

Problem description

R recognizes the Berghaus Star projection information, but there is an error when trying to convert the spatial data to this projection.

Expected Output

The expected output following the tm_shape(world_transformed)+tm_borders() call is a map of all world countries, with the Berghaus Star projection, similar to this:

Environment Information

• PROJ version 6.3.2
• Operation System Information: MacOS Monterey Version 12.5.1

Installation method

• homebrew

[kbevers]

The error message is quite clear: "Error when exporting to PROJ string: Unsupported conversion method: Berghaus_Star", i.e. the projection in question is not implemented in PROJ. Pull requests are welcome.

It can be argued that we shouldn't include it in the database if we can't use it.

[rouault]

d3js (MIT licensed) implementation in https://github.com/d3/d3-geo-projection/blob/main/src/berghaus.js .