Why did the ice pieces stick together in water?

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kthouz
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Hey check this out:
I put 3pieces of ice in a glass and then put water. I left the glass alone for about 5minutes. When i came back i realized that those 3 pieces of ices were a bit sicked one another.
So what should be the scientific explanation?
 
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The ice was initially of lower temperature than 0 centigrade. The ice pieces were in contact but water could flow between or into the contacting regions and solidify owing to the ice being colder than 0 centigrade. The aqueous filled space between the ice pieces is very thin and can solidify quickly.