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So i ask the question, is a hexagonal tank equally as adequate as a rectangular one?
A hexagonal tank could be equally adequate if it were of the same gallonage - but as Fantail pointed out -
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In general a longer one is recommended. The more surface area, the better--more oxygen exchange. Also goldfish tend to swim back and forth, not up and down
I second that - but,
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However, let's say you have 3 fish. They may be better off in a 30 gallon hex (an airstone would help keep the water moving/oxygenation up) than a 10-15 gallon rectangular tank.
I agree, Fantail - I say go for more water. Even despite the type of GF you may have - because that is overall healthier for the fish.
Oxygenation can be maniputlated (by incresaing surface turbidity and/or adding more strong airstones/pumps - but dilution cannot be mimicked. If nitrAte levels start to rise, the only protection the fish will have until a water change is done, is the dilution - the more water, the less concentrated the toxin!
Some types of fancy GF will really thrive in a longer tank, like Ranchus and Lionheads, becuase they cannot swim UP very well - but, even with their limitations, the most important factor for their survival is GOOD water quality!
If that best be achieved by a larger hex. tank than a smaller rect. tank - then I would go for the hex. If I remember correctly, you have comets? They will take any space you give them!!!
It always best to do the best you can even if you cannot do what is best overall! When the time comes, you can get a rectangular tank - for now, do what you can.