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English: Isometric graph paper used for technical 3D drawings. Cyan traces, thicker lines at 5 and 10 steps. Cyan traces, thicker lines at 5 and 10 steps. Made in Inkscape.
Isometric projection is a method for visually representing three-dimensional objects in two dimensions in technical and engineering drawings. It is an axonometric projection in which the three coordinate axes appear equally foreshortened and the angle between any two of them is 120 degrees.
Hexagonal paper shows regular hexagons instead of squares. These can be used to map geometric tiled or tesselated designs among other uses. Isometric graph paper or 3D graph paper is a triangular graph paper which uses a series of three guidelines forming a 60° grid of small triangles. The triangles are arranged in groups of six to make hexagons.
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In isometric projection, the most commonly used form of axonometric projection in engineering drawing, [4] the direction of viewing is such that the three axes of space appear equally foreshortened, and there is a common angle of 120° between them. As the distortion caused by foreshortening is uniform, the proportionality between lengths is ...
"Isometric" comes from the Greek for "same measure". One of the things that makes isometric drawings so attractive is the ease with which 60° angles can be constructed with only a compass and straightedge. Isometric projection is a type of axonometric projection. The other two types of axonometric projection are: Dimetric projection
ISO 216 paper sizes, e.g. the A4 paper size; ISO 406:1987 Technical drawings — Tolerancing of linear and angular dimensions; ISO 1660:2017 Geometrical product specifications (GPS) — Geometrical tolerancing — Profile tolerancing; ISO 2203:1973 Technical drawings — Conventional representation of gears
Although the concept of an isometric had existed in a rough way for centuries, William Farish is generally regarded as the first to provide rules for isometric drawing. [13] In the 1822 paper "On Isometrical Perspective" Farish recognized the "need for accurate technical working drawings free of optical distortion.