Billing et al. reported on the synthesis of homo and diblock copolymers containing PtBAMA segments via ATRP using a bromide ester-based PEG macroinitiator. Later in 2017, the deprotection of these materials could be shown but, due to the harsh deprotection conditions, it was not possible to obtain PEG-b-PDha due to cleavage of the ester linkage between both blocks. We could later overcome this obstacle by the use of a more hydrolysis stable amide-based macroinitiator for the block extension of linear PEG with tBAMA and the successful deprotection to PEG-b-PDha, thereby avoiding cleavage of the second block. We now extend this to star-shaped block copolymers and, the resulting [PEGx-b-PDhay]4 block copolymers provide both, amino and carboxylic acid groups in the PDha segment, these materials are of interest for either reversible physical crosslinking due to electrostatic interactions with an oppositely charged counterpart under basic or acidic conditions or the amino group can be used for permanent crosslinking due to covalent linkage using either epoxides or aza-michael acceptors. This has been shown for a range of PDha-based graft copolymers which used either benzyl glycidyl ether (BGE), 1,2-epoxy octane (EOct), nonafluoropentyloxirane (NFPO), poly(ethylene glycol)glycidyl lauryl glycidyl ether (PEO-LGE), acrylonitrile (ACN) , NiPAAm , phosphonic acid, or epoxy-functionalized PEG for grafting. The herein shown synthetic strategy allows the addition of 6-7 repeating units of PDha at each arm, yielding star-shaped block copolymers with defined and short charged end groups. Further to the synthesis of [PEGxb-PDha6-7]4 star-shaped block copolymers with Ð of < 1.10, we also show that block extensions with higher conversions of up to 41% adding more than 40 repeating units of PtBAMA at each arm are possible, yielding well-defined star-shaped block copolymers with longer polyampholytic segments.