One system that has proved to be very productive and combines aspects of the vertical 
gardening technique is the NFT system. With this system, you can utilize many different configurations in order to utilize your growing space. The NFT systems can be built out of gutter or PVC pipe. See below for multiple ideas for NFT configurations from multiple building materials.
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Building an NFT Aquaponic/Hydroponic System
The first step is to determine the configuration and materials you will use for your NFT system. You can see some configuration ideas below using different materials:
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The document link below has very good information on building and maintaining a NFT System.
Setting up the Water System for your NFT System
Once your grow beds have been built, you need to design the water system. Either a
Hydroponic system or an Aquaponics system would work equally well with the NFT system. The primary differences will be determining the best grow media for the plants. Below you will find an video detailing basic NFT system setup. In this smaller system setup, fish could be added to the tank below the grow bed for an Aquaponics system or add nutrients to the tank for a Hydroponics system.