an equilateral triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also...

truncated equilateral triangle, t{3}, which alternates two types of edges. A regular hexagon is defined as a hexagon that is both equilateral and equiangular...

including the equilateral triangle as a special case. Examples of isosceles triangles include the isosceles right triangle, the golden triangle, and the faces...

Reuleaux triangle into an inner equilateral triangle and three curvilinear regions between this inner triangle and the arcs forming the Reuleaux triangle, and...

fixed set with the overall shape of an equilateral triangle, subdivided recursively into smaller equilateral triangles. Originally constructed as a curve...

different measure. Equilateral Triangle Isosceles triangle Scalene triangle Hatch marks, also called tick marks, are used in diagrams of triangles and other geometric...

of those equilateral triangles themselves form an equilateral triangle. The triangle thus formed is called the inner or outer Napoleon triangle. The difference...

square faces is the internal angle of an equilateral triangle π/3 = 60°, and that between a square and a triangle is π/2 = 90°. The volume of any prism is...

fail to qualify as triangle centers. For an equilateral triangle, all triangle centers coincide at its centroid. However the triangle centers generally...

can both be called regular icosahedra. Each has 30 edges and 20 equilateral triangle faces with five meeting at each of its twelve vertices. Both have...

forms the first step in constructing an equilateral triangle using a compass and straightedge. The triangle has as its vertices the two disk centers...

in any triangle, the three points of intersection of the adjacent angle trisectors form an equilateral triangle, called the first Morley triangle or simply...

Winter Triangle is an astronomical asterism formed from three of the brightest stars in the winter sky. It is an imaginary equilateral triangle drawn on...

Overlapping the Philippine sun is a red equilateral triangle. Inside and at the center of the equilateral triangle is the traditional golden-yellow sea lion...

Circle packing in an equilateral triangle is a packing problem in discrete mathematics where the objective is to pack n unit circles into the smallest...

point P within an equilateral triangle, the sum of the perpendiculars to the three sides is equal to the altitude of the triangle. This is Viviani's...

incircle}}{\text{Area of triangle}}}\leq {\frac {\pi }{3{\sqrt {3}}}}} with equality only for the equilateral triangle. If an inner triangle is inscribed in a...

acute triangle (or acute-angled triangle) is a triangle with three acute angles (less than 90°). An obtuse triangle (or obtuse-angled triangle) is a triangle...

by the two shoulders and the pubis. The shape forms an inverted equilateral triangle with the heart at the center. It is named after Willem Einthoven...

In geometry, an equilateral polygon is a polygon which has all sides of the same length. Except in the triangle case, an equilateral polygon does not need...

an equilateral triangle, and each successive stage is formed by adding outward bends to each side of the previous stage, making smaller equilateral triangles...

(tesseract). Radially equilateral polytopes are those which can be constructed, with their long radii, from equilateral triangles which meet at the center...

geometry can for example be defined as the length of a side of an equilateral triangle with fixed angles. The length scale is most convenient if the lengths...

corollary a pretty theorem regarding an equilateral triangle inscribed in a circle. Given An equilateral triangle inscribed on a circle and a point on the...

area of an equilateral triangle, π 3 3 {\displaystyle {\frac {\pi }{3{\sqrt {3}}}}} , is larger than that of any non-equilateral triangle. The ratio of...

along an equilateral triangle, and attaching the ends. The shortest strip for which this is possible consists of three equilateral triangles, folded at...

of the 26–26–26 equilateral triangle ABC is 169√3, which is larger than three times 39√3, the area of a 26–14–14 isosceles triangle (all by Heron's formula)...

Similarly, if a polyiamond tiles an equilateral triangle, it will also be a rep-tile. A right triangle is a triangle containing one right angle of 90°....

the 30°–60°–90° triangle, and the equilateral/equiangular (60°–60°–60°) triangle are the three Möbius triangles in the plane, meaning that they tessellate...

congruent. For an equilateral triangle, the apothem is equivalent to the line segment from the midpoint of a side to the triangle's center. The apothem...