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How to show that the “bing’s house with two rooms” is contractible?

I don't know why my question is closed? here, I make my question clearly, when "hollowing out the chambers",why two vertical rectangles (are inserted to form ‘support walls’ for the two tunnels) are left ? if remove them, it remain contractible?

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 Read the FAQ. You've just broken the rules. – Harry Gindi Mar 10 2010 at 5:23
I'll respond in the closed thread: mathoverflow.net/questions/17551/… – Ryan Budney Mar 10 2010 at 5:37
Sorry, I should read the FAQ first, but my question still not be sovled for me. – gylns Mar 10 2010 at 5:43
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 @gylns, I've closed this question as it's an exact duplicate of the question you asked previously. If a question is closed, it is fine to improve it to an acceptable level and ask that it be reopened, or indeed to ask a new, better question, but it's obviously wasting everyone's time to just ask the same question again. – Scott Morrison♦ Mar 10 2010 at 5:56
Ok, I am sorry! – gylns Mar 10 2010 at 6:01

closed as exact duplicate by Harry Gindi, Ryan Budney, Kevin Lin, S. Carnahan♦, Scott Morrison♦ Mar 10 2010 at 5:54

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