The inner rim is ice due to the distance it is way from the sun. If you were to walk to the outer, you are walking further away from the sun, meaning it will become colder and colder until your body will cease to operate due to extreme cold and difficulty in breathing.
If you went further in by using a vehicle equpiied with oxygen and heat, you could maybe make it many more miles towards the outer edge until your vehicle seizes up and you then super freeze, being frozen in time for as long as it stays frozen.
If you could go any futher even in imaginary mind, you would soon come up against a higher and higher build up of frozen elements until you reach the ice dome which by then would be like glass, so you would basically see nothing as the ice would be against a vacuum of black, so effectively you are blind until a reflection of Earth penetrated, which would not happen low down, but will happen if you were to be in some light, then you would see the reflections of what Earth is and what's inside, in a fashion, depending on your sight or telescope.