In these Chapters we learn about Hippolyte, again a character totally different from the Prince, we learn that he is ill, a consumptive young man and he gets help from others, mainly money and clothes.

Now back to the Prince, he has a good reason going to Nastasia's apartment uninvited, a strong motive really. When the Prince enters her apartment they have a great moment together and this is one of my favorite scene in the Chapters:

“I was so sorry to have forgotten to ask you to come, when I saw you,” she said, “and I am delighted to be able to thank you personally now, and to express my pleasure at your resolution.”
So saying she gazed into his eyes, longing to see whether she could make any guess as to the explanation of his motive in coming to her house. The prince would very likely have made some reply to her kind words, but he was so dazzled by her appearance that he could not speak.
Nastasia noticed this with satisfaction. She was in full dress this evening; and her appearance was certainly calculated to impress all beholders. She took his hand and led him towards her other guests. But just before they reached the drawing-room door, the prince stopped her, and hurriedly and in great agitation whispered to her: “You are altogether perfection; even your pallor and thinness are perfect; one could not wish you otherwise. I did so wish to come and see you. I—forgive me, please—”

In the end of Chapter XIII a little game starts and something tells me that this game will heat up things for good! Also we will learn why Myshkin is there!

So the next Chapters will be very very interesting!