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Drafting board with a T-square and triangle. A T-square is a technical drawing instrument used by draftsmen primarily as a guide for drawing horizontal lines on a drafting table. The instrument is named after its resemblance to the letter T, with a long shaft called the "blade" and a short shaft called the "stock" or "head".
Consequently, a square number is also triangular if and only if + is square, that is, there are numbers and such that =. This is an instance of the Pell equation x 2 − n y 2 = 1 {\displaystyle x^{2}-ny^{2}=1} with n = 8 {\displaystyle n=8} .
The T-square fractal can be derived from the Sierpiński triangle, and vice versa, by adjusting the angle at which sub-elements of the original fractal are added from the center outwards. Sierpiński triangle transforming into a T-square fractal
A T-square is a straightedge which uses the edge of the drawing board as a support. It is used with the drafting board to draw horizontal lines and to align other drawing instruments. Wooden, metal, or plastic triangles with 30° and 60° angles or with two 45° angles are used to speed drawing of lines at these commonly used angles.
A T-square is a style of square where the blade is fixed onto on into the middle of the stock, forming a 'T' shape. The most common type of T-square is a guide for drawing horizontal lines on a drawing board, and can guide a set square to draw vertical or diagonal lines. [27] Other types of T-square are used by woodworkers and glaziers for ...
Pascal triangle; Peano curve; Penrose tiling; Pinwheel tiling; Pythagoras tree; Rauzy fractal; Rössler attractor; Sierpiński arrowhead curve; Sierpinski carpet; Sierpiński curve; Sierpinski triangle; Smith–Volterra–Cantor set; T-square; Takagi or Blancmange curve; Triflake [citation needed] Vicsek fractal; von Koch curve; Weierstrass ...
A square whose side length is a triangular number can be partitioned into squares and half-squares whose areas add to cubes. From Gulley (2010).The nth coloured region shows n squares of dimension n by n (the rectangle is 1 evenly divided square), hence the area of the nth region is n times n x n.
A triangular number or triangle number counts objects arranged in an equilateral triangle. Triangular numbers are a type of figurate number , other examples being square numbers and cube numbers . The n th triangular number is the number of dots in the triangular arrangement with n dots on each side, and is equal to the sum of the n natural ...