Which regular polygon will tessellate alone

We have to find the equation which is used to determine the polygon will tessellate. Therefore, the equation used to determine the polygon will tessellate is given by. Step-by-step explanation: To know if a regular polygon can tessellate, we divide by the interior angle of the polygon and the result needs to be an integer, but not in all cases you get the number of sides of the polygon, you get a multiple of the number of sides.

Other questions on the subject: Mathematics. For exercise 2 and 3, give the coordinates of image Read More. Sasha drew a scale drawing of the high school the parking lot which is 49 m wide How many square feet of outdoor carpet will we need for this whole? Answer is in the photo. I couldn't attach it here, but uploaded it to a file hosting. Good Luck! Asingle die is rolled twice. The answer is times per second See results 0 The answer is not found? In Tessellations: The Mathematics of Tiling post, we have learned that there are only three regular polygons that can tessellate the plane: squares, equilateral triangles, and regular hexagons.

In Figure 1, we can see why this is so. The angle sum of the interior angles of the regular polygons meeting at a point add up to degrees. Looking at the other regular polygons as shown in Figure 2, we can see clearly why the polygons cannot tessellate.

The sums of the interior angles are either greater than or less than degrees. In this post, we are going to show algebraically that there are only 3 regular tessellations. We will use the notation , similar to what we have used in the proof that there are only five platonic solids , to represent the polygons meeting at a point where is the number of sides and is the number of vertices.

A regular polygon is a polygon where all of the sides and angles are the same. An equilateral triangle is a regular polygon. It has all the same sides and the same angles. An isosceles triangle has two equal sides and two equal angles. Felica Tejada Teacher. Can curved edges Tessellate shapes? Circles are a type of oval—a convex, curved shape with no corners. Romualdas Vornholz Supporter. Is tessellation math or art? A tessellation , or tiling, is the covering of the plane by closed shapes, called tiles, without gaps or overlaps [17, page ].

Tessellations have many real-world examples and are a physical link between mathematics and art. Artists are interested in tilings because of their symmetry and easily replicated patterns. Kaede Schwarzpaul Beginner. Can a circle and triangle tessellate together? Tessellation means that the shape can form a grid out of many copies of itself, with no awkward holes.

Which a circle cannot do. Examples of shapes that CAN tessellate are squares and triangles. Esha Semper Beginner. What is irregular tessellation? Semi-regular tessellations are made from multiple regular polygons.

Meanwhile, irregular tessellations consist of figures that aren't composed of regular polygons that interlock without gaps or overlaps. As you can probably guess, there are an infinite number of figures that form irregular tessellations! Svetlana Graupeter Beginner. Does a kite Tessellate? Yes, a kite does tessellate , meaning we can create a tessellation using a kite. Aura Zizmann Beginner. What figure Cannot be tessellated?

Among regular polygons, a regular hexagon will tessellate , as will a regular triangle and a regular quadrilateral Square. Fiama Prunell Beginner. Which regular polygon will not tessellate alone? Ask A Question. Co-authors: 3.