Very confusing, more than "interesting" intersection. I don't know how it can be remedied but wish someone would come up with some solution. Any hope?

Redesign? It's reasonable. There is a need for the traffic light cycle to include some way to exit from the area of Brickhouse Pizza.

What I'm wondering, is why cars heading east on Billerica Rd, and cars heading south on Rte 4 have a green light at the same time at the intersection where they meet. It makes no sense to me.

For brick house I go out the back way going out the front is way to crazy to take anything but a right..

The driving school instructor told my son unless there is a sign prohibiting it, you may go right on red, even with a red arrow.

http://www.mass.gov/rmv/dmanual/chapter4.pdf

Steady Red :A steady red light means “stop.” Do not go until the light turns green. You can make a right turn on a red light only after you come to a complete stop and yield to pedestrians or other vehicles in your path. You may not turn on red if a NO TURN ON RED sign is posted. You can turn left on a red light when driving on a one-way street and turning left onto another one-way street. Stop and yield to pedestrians and other vehicles before turning.

Steady Red Arrow A steady red arrow means the same as a steady red, circular signal (see the preceding Steady Red section). However, it only applies to vehicles going in the direction of the arrow. The same rules for “turning on red” apply in Massachusetts. However, when driving out-of-state, this may not be true because different states have different laws.

The police chief is full of $#!+. Right turn is allowed on steady red. Just read the state driver's manual and search for "red arrow".
http://www.mass.gov/rmv/dmanual/chapter4.pdf

You can take a right if there is no sign indicating "no turn on red". I have pasted the rules for red arrow which can be found In the Mass. driving manual:
Steady Red
A steady red light means “stop.” Do not go until the light turns green. You can
make a right turn on a red light only after you come to a complete stop and yield
to pedestrians or other vehicles in your path. You may not turn on red if a NO
TURN ON RED sign is posted.
You can turn left on a red light when driving on a one-way street and turning left onto
another one-way street. Stop and yield to pedestrians and other vehicles before turning.
Steady Red Arrow
A steady red arrow means the same as a steady red, circular signal (see the
preceding Steady Red section). However, it only applies to vehicles going in
the direction of the arrow. The same rules for “turning on red” apply in
Massachusetts. However, when driving out-of-state, this may not be true because different
states have different laws.

Wow, it's scary that a driving instructor would instruct a student to go through a red turning arrow. I always thought that meant "no turns until the arrow turns green."

Ooops, looks like I'm wrong, according to the regulations Phil posted from the Registry website! No wonder they call Mass. drivers "Massholes!" LOL!

When the lights were first installed I was stopped for taking the right on red, but since then I have seen several patrol cars do it!

I have a clarification from Police Chief James Murphy: "To clarify, there is no right turn on red allowed at this location at the red light. I mistakenly reported it as a red arrow, but realized after that it was a steady red light that controls the lane. Regardless, there is no right turn allowed on red. I'll speak with DPW about posting a "No Turn On Red" sign to avoid any confusion."

Paul ... quit being a pill ... Krista is merely trying to be helpful and I, for one, appreciate her efforts!

I also appreciate Krista's efforts. I find that the questions posed here are often things I have wondered about and I am glad to know the answers. Why shouldn't our elected and appointed officials be able to take a minute to explain something? And honestly, they don't seem to mind being asked.

I wonder if everybody is referring to the same intersection. I didn’t think I had seen any “no turn on red” sign, but just went to check and was correct, with respect to the intersection I believe the question referred to – Littleton Rd (Rt 110), coming from the direction of Westford into Chelmsford Center, just as you travel past the Sunoco station and the driveway into Cushing Place (Brickhouse, Trinity Ambulance etc.). As of 9 AM on July 21, the signs include “Left lane must turn left,” “Stop here on red,” and “Do not block intersection,” plus a couple of bicycle-related signs. There is no sign indicating “No turn on red” at this time. One could argue that the “Stop here on red” and “Do not block intersection” signs at the Cushing Place driveway (to keep the driveway open for ambulances to exit) add up to an implied “no turn on red” – perhaps that is the basis for the Chief’s statement. If one stops before the driveway, finds no traffic, then advances into the crosshatched driveway and finds no traffic coming and turns, then arguably you are not blocking the driveway. But if you advance into the driveway area and then encounter a line of traffic you didn’t see coming, then you would find yourself sitting and blocking the driveway. If making the turn in any case is specifically prohibited, though, I think it would be far clearer what it is from a legality standpoint if there was a sign to that effect.