Final answer:
Regular tessellations are patterns created by repeating geometric shapes without gaps. Squares and equilateral triangles are commonly used for regular tessellations. Regular octagons and squares can be arranged to form tessellations without overlaps.
Explanation:
Regular tessellations are patterns formed by repeating the same geometric shape across a plane without any gaps or overlaps. When it comes to regular tessellations, only certain shapes like squares and equilateral triangles can create consistent patterns. For example, you can create tessellations using regular octagons and squares by fitting them together in a repeating pattern without any gaps or overlaps.
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