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Encyclopedia > Axonometric projection

Example of a dimetric axonometric drawing from a US Patent (1874).
Example of a dimetric axonometric drawing from a US Patent (1874).

Axonometric projection ("to measure along axes") is a technique used in orthographic pictorials. Image File history File links Download high-resolution version (1092x708, 166 KB)[edit] Summary Example of an axonometric drawing, from US Patent 150,828, a “Machine for forming Temple-Teeth” (May 12, 1874). ... Image File history File links Download high-resolution version (1092x708, 166 KB)[edit] Summary Example of an axonometric drawing, from US Patent 150,828, a “Machine for forming Temple-Teeth” (May 12, 1874). ... Example of a dimetric axonometric drawing from a US Patent (1874) Dimetric projection is a form of axonometric projection, in which its direction of viewing is such that two of the three axes of space appear equally foreshortened, of which the attendant scale and angles of presentation are determined according...


Within orthographic projection, there is an ancillary category known as pictorials. Pictorials show an image of an object as viewed from a skew direction in order to reveal all three directions (axes) of space in one picture. Orthographic pictorial instrument drawings are often used to approximate Graphical Perspective projections, but there is attendant distortion in the approximation. Because pictorial projections innately have this distortion, in the instrument drawing of Pictorials, great liberties may then be taken for economy of effort and best effect. This article is about technical drawings. ... A coordinate axis is one of a set of vectors that defines a coordinate system. ... A distortion is the alteration of the original shape (or other characteristic) of an object, image, sound, waveform or other form of information or representation. ...


The three types of axonometric projections are isometric projection, dimetric projection, and trimetric projection. Typically in axonometric drawing, one axis of space is shown as the vertical. An isometric drawing of a cube. ... Example of a dimetric axonometric drawing from a US Patent (1874) Dimetric projection is a form of axonometric projection, in which its direction of viewing is such that two of the three axes of space appear equally foreshortened, of which the attendant scale and angles of presentation are determined according... Trimetric projection is a form of axonometric projection, where the direction of viewing is such that all of the three axes of space appear unequally foreshortened. ...


In isometric projections the direction of viewing is such that the three axes of space appear equally foreshortened, of which the displayed angles among them and also the scale of foreshortening are universally known. However in creating a final, isometric instrument drawing, in most cases a full-size scale, i.e., without using a foreshortening factor, is employed to good effect because the resultant distortion is difficult to perceive.


In dimetric projections, the directions of viewing are such that two of the three axes of space appear equally foreshortened, of which the attendant scale and angles of presentation are determined according to the angle of viewing; the scale of the third direction (vertical) is determined separately. Approximations are common in Dimetric drawings.


In trimetric projections, the direction of viewing is such that all of the three axes of space appear unequally foreshortened. The scale along each of the three axes and the angles among them are determined separately as dictated by the angle of viewing. Approximations in Trimetric drawings are common.


See also


  Results from FactBites:
 
Axonometric projection - Wikipedia, the free encyclopedia (308 words)
The three types of axonometric projections are isometric projection, dimetric projection, and trimetric projection.
In isometric projections the direction of viewing is such that the three axes of space appear equally foreshortened, of which the displayed angles among them and also the scale of foreshortening are universally known.
In dimetric projections, the directions of viewing are such that two of the three axes of space appear equally foreshortened, of which the attendant scale and angles of presentation are determined according to the angle of viewing; the scale of the third direction (vertical) is determined separately.
GameDev.net - Axonometric Projections - A Technical Overview (3733 words)
In the projection, the y-axis usually remains the vertical axis, the z-axis is skewed and the x-axis may either be horizontal, as in the figure at the right, or be skewed as well.
NEN 2536 describes an isometric projection that is symmetric with regards to the vertical axis; the angle between the x- and y-axes, and between the z- and y-axes, is 60 degrees.
In the military projection, the angles of the x- and z-axes are at 45°, meaning that the angle between the x-axis and the z-axis is 90°.
  More results at FactBites »

 

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