Hamilton said he and Thibodeau have talked. Then, he reiterated, "It's hard to understand."
James scored 15 points and Bosh added 12 in the first half to help the Heat take a 44-33 lead at the break, but that doesn't even come close to telling the complete story.
Miami shot just under 53 percent, with the Bulls at about 27 percent. Chicago was also 1 of 11 on 3-pointers, and the only conversion from long range came from Hamilton.
"We're kind of putting screws and bandages everywhere. It's frustrating," said Bulls forward Taj Gibson. "Every night and every day."
Notes: The Heat and Bulls were well represented on the NBA's all-defensive first team, with James and Noah being selected. ... Thibodeau had nothing to say about the $35,000 fine from the league for comments he made about the officiating in Game 3. Asked if he was surprised by the amount, he said, "I've got no comment on that. We're just getting ready for Game 4." ... Deng was listed as active after initially being ruled out for Chicago. Hinrich and Rose were inactive.