First of all, You should be branching out onto the waters making more space for your island anyways.
As you said, resource availability is the problem. For technological advance, you're going to need all sorts of resources; An island on its own cannot sustain itself.
If you are able to get the resources from an alternate place, then disregard the above. I think you'll need to define your technological advance for me; Are you building an underground bunker with a new type of nuclear bomb that takes up three entire city blocks? Are you advancing your tech towards some sort of reactor that only takes up a handfull of space?
A small island could be viable depending on the size or type of technology you're building; Do you want specific area's of the island? 300*300[]'d? It's really not easy to say.
Is your technology small or large? What kind of technology are you looking to create?
etc etc Military tech:
I can't imagine you would need that much space for building a new type of tank. If you have a place that you can use to create things, then it should be easy to build new tanks, new firearms, planes, etcetera.

First of all, You should be branching out onto the waters making more space for your island anyways.
As you said, resource availability is the problem. For technological advance, you're going to need all sorts of resources; An island on its own cannot sustain itself.
If you are able to get the resources from an alternate place, then disregard the above. I think you'll need to define your technological advance for me; Are you building an underground bunker with a new type of nuclear bomb that takes up three entire city blocks? Are you advancing your tech towards some sort of reactor that only takes up a handfull of space?
A small island could be viable depending on the size or type of technology you're building; Do you want specific area's of the island? 300*300[]'d? It's really not easy to say.
Is your technology small or large? What kind of technology are you looking to create?
etc etc Military tech:
I can't imagine you would need that much space for building a new type of tank. If you have a place that you can use to create things, then it should be easy to build new tanks, new firearms, planes, etcetera.
A small island should be sufficient. The island itself could be any size, but the thing you need to worry about is resources. You can build off of the sides of the island no matter what size the island itself is and make more room and space for building.

First of all, You should be branching out onto the waters making more space for your island anyways.
As you said, resource availability is the problem. For technological advance, you're going to need all sorts of resources; An island on its own cannot sustain itself.
If you are able to get the resources from an alternate place, then disregard the above. I think you'll need to define your technological advance for me; Are you building an underground bunker with a new type of nuclear bomb that takes up three entire city blocks? Are you advancing your tech towards some sort of reactor that only takes up a handfull of space?
A small island could be viable depending on the size or type of technology you're building; Do you want specific area's of the island? 300*300[]'d? It's really not easy to say.
Is your technology small or large? What kind of technology are you looking to create?
etc etc

First of all, You should be branching out onto the waters making more space for your island anyways.
As you said, resource availability is the problem. For technological advance, you're going to need all sorts of resources; An island on its own cannot sustain itself.
If you are able to get the resources from an alternate place, then disregard the above. I think you'll need to define your technological advance for me; Are you building an underground bunker with a new type of nuclear bomb that takes up three entire city blocks? Are you advancing your tech towards some sort of reactor that only takes up a handfull of space?
A small island could be viable depending on the size or type of technology you're building; Do you want specific area's of the island? 300*300[]'d? It's really not easy to say.
Is your technology small or large? What kind of technology are you looking to create?
etc etc Military tech:
I can't imagine you would need that much space for building a new type of tank. If you have a place that you can use to create things, then it should be easy to build new tanks, new firearms, planes, etcetera.