An equilateral triangle is a triangle in which all three sides have the same length, and all three angles are equal. Because of these properties, the equilateral...
25 KB (2,644 words) - 16:15, 29 May 2025
Reuleaux triangle into an inner equilateral triangle and three curvilinear regions between this inner triangle and the arcs forming the Reuleaux triangle, and...
57 KB (6,500 words) - 06:52, 2 June 2025
possible equilateral triangle which an amount n of unit circles can be packed into? More unsolved problems in mathematics Circle packing in an equilateral triangle...
7 KB (467 words) - 18:55, 22 July 2025
Sierpiński triangle, also called the Sierpiński gasket or Sierpiński sieve, is a fractal with the overall shape of an equilateral triangle, subdivided...
23 KB (2,723 words) - 22:57, 17 March 2025
Hexagon (redirect from Equilateral hexagon)
hexagon can also be considered as the cutting off the vertices of an equilateral triangle, which can also be denoted as t { 3 } {\displaystyle \mathrm {t}...
31 KB (2,873 words) - 16:19, 21 July 2025
Napoleon's theorem (redirect from Napoleon's triangle)
of those equilateral triangles themselves form an equilateral triangle. The triangle thus formed is called the inner or outer Napoleon triangle. The difference...
22 KB (2,948 words) - 07:09, 23 July 2025
to Euclid. Equilateral triangle Isosceles triangle Scalene triangle Right triangle Acute triangle Obtuse triangle All types of triangles are commonly...
55 KB (6,518 words) - 21:19, 11 July 2025
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...
5 KB (547 words) - 19:22, 28 June 2024
including the equilateral triangle as a special case. Examples of isosceles triangles include the isosceles right triangle, the golden triangle, and the faces...
38 KB (4,157 words) - 05:19, 12 July 2025
Morley's trisector theorem (redirect from Morley triangle)
in any triangle, the three points of intersection of the adjacent angle trisectors form an equilateral triangle, called the first Morley triangle or simply...
13 KB (2,232 words) - 15:25, 6 April 2025
case is the regular octahedron, a Platonic solid composed of eight equilateral triangles, four of which meet at each vertex. Many types of irregular octahedra...
13 KB (1,231 words) - 01:36, 20 June 2025
puzzle writer Henry Dudeney in 1902. It seeks a dissection from equilateral triangle into a square. Dudeney provided a hinged dissection with four pieces...
4 KB (395 words) - 20:17, 6 July 2025
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...
13 KB (1,759 words) - 00:39, 5 March 2025
Isodynamic point (category Triangle centers)
transforms the given triangle into an equilateral triangle, and that the distances from the isodynamic point to the triangle vertices are inversely proportional...
15 KB (1,958 words) - 22:36, 15 November 2024
Ptolemy's theorem (section Equilateral triangle)
as a corollary a theorem regarding an equilateral triangle inscribed in a circle. Given An equilateral triangle inscribed on a circle, and a point on...
28 KB (5,051 words) - 22:17, 19 April 2025
only such triangles are rational-sided equilateral triangles. Any triple of positive integers can serve as the side lengths of an integer triangle as long...
41 KB (7,271 words) - 18:57, 19 June 2025
Cuboctahedron (redirect from Radial equilateral symmetry)
(tesseract). Radially equilateral polytopes are those that can be constructed, with their long radii, from equilateral triangles which meet at the center...
24 KB (2,142 words) - 19:35, 10 June 2025
Rep-tile (section Equilateral triangles)
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°....
16 KB (1,638 words) - 01:40, 14 May 2025
Triangular prism (redirect from Extended triangle)
polyhedron. Still, the two triangles are different sizes, and the sides are slanted trapezoids. If the base is equilateral and the lateral faces are square...
19 KB (1,628 words) - 04:15, 14 July 2025
an equilateral triangle, and each successive stage is formed by adding outward bends to each side of the previous stage, making smaller equilateral triangles...
21 KB (2,173 words) - 12:46, 24 June 2025
equal horizontal stripes, alternating from red to white, with a blue equilateral triangle based on the hoist side bearing a large, sharp, upright, five-pointed...
144 KB (14,393 words) - 02:47, 5 July 2025
fail to qualify as triangle centers. For an equilateral triangle, all triangle centers coincide at its centroid. However the triangle centers generally...
32 KB (3,897 words) - 21:23, 18 July 2025
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...
4 KB (543 words) - 01:12, 13 June 2024
forms the first step in constructing an equilateral triangle using a compass and straightedge. The triangle has as its vertices the two disk centers...
13 KB (1,458 words) - 08:41, 18 July 2025
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...
12 KB (890 words) - 18:40, 2 June 2025
one side of an ideal triangle to the closer of the other two sides: this distance, the side length of the equilateral triangle formed by the points of...
115 KB (13,380 words) - 13:49, 22 July 2025
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...
20 KB (1,689 words) - 16:03, 4 May 2025
coinciding with part of the triangle's longest side. The Calabi triangle, an obtuse triangle, shares with the equilateral triangle the property of having three...
5 KB (576 words) - 19:15, 17 February 2025
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...
14 KB (1,570 words) - 02:54, 10 July 2025
points with such distances cannot exist: the area of the 26–26–26 equilateral triangle ABC is 169 3 {\textstyle 169{\sqrt {3}}} , which is larger than three...
35 KB (5,287 words) - 10:38, 18 June 2025