About Linden Square Village Apartments Linden Square Village Apartments Phase I was established in 2000. Linden Square Village Apartments Phase II was established in 2015. It since then has become synonymous with premier apartment living here in Indianapolis. From accommodating floor plans ranging from 1 bedroom apartments to 3 bedroom townhomes, to a wide array of community amenities, we’re building one of the top living communities in Indianapolis, and we want you to take advantage of it. Linden Square is located near 10th St. and N Raceway Rd. and is just minutes away from Indianapolis Motor Speedway and Ben Davis Park. With simple access to I-465, you’ll get a convenient location with cozy surroundings at Linden Square–the best of both worlds. Linden Square is Does Linden Square seem like somewhere you might see yourself? Schedule a tour and learn more about what your new home can offer you.