Nuclear powered pykrete private island iceberg

Well documented is the attempt at creating a giant floating ice maker to create a pycrete aircraft carrier in ww2.

Problem is that it's energy intensive.

I propose a propose a nuclear powered giant (solid state magneto) refirgerator that is created to make ice of a durable type (pycrete que).

Also this island can be repurposed as worlds biggest penguin refuge, with turrets that automatically shoot seals and walruses to ensure penguins are safe. I like penguins.

Floating island is generally kept parked in coldest possible waters sufficiently far from pack ice for it to make sense.

As waves continuously break apart floating ice city, more ice is made, and all sky facing surfaces of the ice city are painted with high albedo paint, or simply covered with sufficient amounts of reflective ice.

Internal city heat is provided by waste heat of nuclear reactor and is well insulated to prevent ice melt below and above.

I'm thinking this makes sense in the waters between south Africa and Terra del fuego

bonus points for a technology that harvests ambient algea and seaweed as a fibrous resource for creating the pykrete as opposed to having to ship it in from land.