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An equilateral triangle is a triangle that has three equal sides. It is a special case of an isosceles triangle in the modern definition, stating that an isosceles triangle is defined at least as having two equal sides. [1] Based on the modern definition, this leads to an equilateral triangle in which one of the three sides may be considered ...
The Tetractys [also known as the decad] is an equilateral triangle formed from the sequence of the first ten numbers aligned in four rows. It is both a mathematical idea and a metaphysical symbol that embraces within itself—in seedlike form—the principles of the natural world, the harmony of the cosmos, the ascent to the divine, and the ...
For any interior point P, the sum of the lengths of the perpendiculars s + t + u equals the height of the equilateral triangle.. Viviani's theorem, named after Vincenzo Viviani, states that the sum of the shortest distances from any interior point to the sides of an equilateral triangle equals the length of the triangle's altitude. [1]
A deltahedron is a polyhedron whose faces are all equilateral triangles. The deltahedron is named by Martyn Cundy , after the Greek capital letter delta resembling a triangular shape Δ. [ 1 ] The deltahedron can be categorized by the property of convexity .
A triomino tile is in the shape of an equilateral triangle approximately 1 in (2.5 cm) on each side and approximately 1 ⁄ 4 in (6.4 mm) thick. Each point of the triangle has a number (most often from 0 to 5, as in the Pressman version), [2] and each triomino has a unique combination of numbers, subject to the following restrictions:
The dihedral group D 3 is the symmetry group of an equilateral triangle, that is, it is the set of all rigid transformations (reflections, rotations, and combinations of these) that leave the shape and position of this triangle fixed.
A polyiamond (also polyamond or simply iamond, or sometimes triangular polyomino [1]) is a polyform whose base form is an equilateral triangle.The word polyiamond is a back-formation from diamond, because this word is often used to describe the shape of a pair of equilateral triangles placed base to base, and the initial 'di-' looks like a Greek prefix meaning 'two-' (though diamond actually ...
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