Determine if the given regular figures form semiregular tessellations.
Triangle, decagon, 15-gon?
Yes or No
To determine if the given regular figures form semiregular tessellations, we need to check two conditions:
1. All the regular figures must be the same shape.
2. The arrangement of the regular figures must be such that they fill the plane without any gaps or overlapping.
Let's check both conditions:
1. Triangle, decagon, and 15-gon are not the same shape. A triangle has 3 sides, a decagon has 10 sides, and a 15-gon has 15 sides. Since they are not the same shape, they fail the first condition for semiregular tessellations.
Therefore, the answer is NO, the given regular figures (triangle, decagon, 15-gon) do not form semiregular tessellations.