This is an "Infinity" design LED mirror that I constructed several months back. An old Army buddy of mine found a beautiful 4 foot by 2 1/2 foot frame that someone was throwing away, and we decided to make a LARGE version of one of these mirrors!
Step 1: Get you a nice frame or build one yourself
This is the antique hardwood frame that my buddy got for free! I would definitely recommend a hardwood for the frame, as we will be adding on quite a few components and two HEAVY sheets of glass to get the desired reflective effect. Also, make sure that you plan out the entire build before starting.
Step 2: Get your LEDs set up
Here is the link to the LED light kit I purchased: http://amzn.com/B00ASHQQKI
This kit comes with a power adapter, remote, IR sensor, and 16.4 feet of LED strip w/ adhesive backing for around $30. The LEDs can be trimmed every 1.5 inches or 3 inches depending on which kit you get. I'd recommend getting your LEDs from Amazon or another online distributor, as Home Depot and Lowe's charge a hefty premium for their light strips.
Step 3: Prep the inside lip of your frame
I sanded the inside lip of the frame here in order to remove any old paint. I repainted it later, but you'll want a nice smooth surface to adhere the LED strip to.
Step 4: Plan the build around your frame
From here, I measured around the interior dimensions of the frame to determine the length of LED strip I would need.