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Why Do Some Shapes Tessellate and Others Do Not?

Answer

Some shapes do not tessellate because overlaps and gaps within the plane are not allowed. If a shape tessellates, then its corners are able to meet at one single point. In addition, some of the shapes tessellate simply because there are certain points at which multiple vertices intersect.
Q&A Related to "Why Do Some Shapes Tessellate and Others Do..."
1. Draw two 2-inch by 2-inch squares on the index card. Cut the squares out. 2. Cut one of the squares in half to make two rectangles. If cut correctly these rectangles should measure
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Because overlaps and gaps within the plane aren't allowed, by definition. Think of the simplest example of a non-tessellating shape, a circle. How could you fill up a 2-D plane with
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Geometrically, this guarantees that all the space is accounted for, and that the shapes should fit together ( though not necessarily smoothly) Ask away 24/7! report this answer. Updated
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If a basic shape tessellates, then its corners (or vertices)
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