List all partitions via iControl REST API?

Or, if you would be looking at querying the actual disk partitions, the iControl REST API would be:

https://device/mgmt/tm/sys/disk/

and then:

https://device/mgmt/tm/sys/disk/application-volume/

which would return a response similar to:

{
"kind": "tm:sys:disk:application-volume:application-volumecollectionstate",
"selfLink": "https://localhost/mgmt/tm/sys/disk/application-volume?ver=11.5.0",
"items": [
    {
        "kind": "tm:sys:disk:application-volume:application-volumestate",
        "name": "afmdata",
        "fullPath": "afmdata",
        "generation": 52,
        "selfLink": "https://localhost/mgmt/tm/sys/disk/application-volume/afmdata?ver=11.5.0",
        "logicalDisk": "HD1",
        "owner": "afm",
        "preservability": "precious",
        "resizeable": "false",
        "size": 3900
    },
    {
        "kind": "tm:sys:disk:application-volume:application-volumestate",
        "name": "mysqldb_HD1.1",
        "fullPath": "mysqldb_HD1.1",
        "generation": 52,
        "selfLink": "https://localhost/mgmt/tm/sys/disk/application-volume/mysqldb_HD1.1?ver=11.5.0",
        "logicalDisk": "HD1",
        "owner": "mysql",
        "preservability": "precious",
        "resizeable": "false",
        "size": 12288,
        "volumeSetVisibilityRestraint": "HD1.1"
    },
    {
        "kind": "tm:sys:disk:application-volume:application-volumestate",
        "name": "mysqldb_HD1.2",
        "fullPath": "mysqldb_HD1.2",
        "generation": 52,
        "selfLink": "https://localhost/mgmt/tm/sys/disk/application-volume/mysqldb_HD1.2?ver=11.5.0",
        "logicalDisk": "HD1",
        "owner": "mysql",
        "preservability": "precious",
        "resizeable": "false",
        "size": 12288,
        "volumeSetVisibilityRestraint": "HD1.2"
    }
]
}