My sleep pattern is ~ 6-7 hrs per night and 1-2 hours during the day - I think it's the perfect sleep time and I couldn't be more productive, but then again people are different, so it's worth experimenting for a while to find your balance. BUT, and this is a big one, as another member said above, doing this continously for years will most probably fuck your brain up.
Remember, we sleep so that our brain can "rest" for a few hrs, although it's not quite the break that most people think. During sleep, our brain activity levels are at their highest - our brain organizes things such as our memory (very important!) both long & short term, detoxification (that's why most people wake up wanting to pee and shit in the morning), energy levels balancing and most importantly illness fighting, especially life threatening diseases such as cancer.
Our immune system works better when our body is asleep, that's why for example when you take something for your headache (anything that its base is paracetamol let's say), you begin to slightly fall asleep even if it's just for 1 hour and then when you wake up there is no more headache. Sure, it works when you are awake as well, but slowly and sometimes it's not even effective (especially if you are addicted to pills).
That's because our immune system is constantly fighting free radicals when we are awake, starting from the very air we breathe, which nowadays is polluted as fuck, down to the water we drink (don't get me started on that one), things we eat, people we meet, etc... During sleep, this doesn't happen to the level it does when you are awake, so the immune system is more concentrated on causing apostopsis (cell death) to cancer cells instead. Same with healing after having an operation or accident. That's why you always hear doctors say & recommend lots of sleep/resting to heal faster. And what I mentioned is just scratching the surface, so I suggest you do more research about it before you fuck up your long-term health.
Now, I do believe there are people that can sleep let's say for few mins every few hour sessions or other uncommon patterns, but they are rare, a small %, as with everything else. We evolved genetically to adapt to the common sleep pattern that most people perform on a daily basis and evolution takes millions of years. That's the reason it fucks up your brain in most people, we don't have the mental/physical capacity to handle it. Maybe after a few more millions of years, we will adapt to another pattern, who knows... But for now, stick to the usual one if you don't want to gamble with your body/mind/health.