Knightly perspective is a representation system that uses oblique parallel projection, in which the dimensions of the frontal projecting plane, like those of the elements parallel to it, are in true magnitude.

In a gentleman's perspective, two dimensions of the volume to be represented are projected in true magnitude (height and width) and the third (depth) with a reduction coefficient. The two dimensions without angular distortion with their scaled lengths "Scale (mapping)") are the width and height (y, z) while the dimension reflecting the depth (x) is reduced by a certain proportion. 1:2, 2:3 or 3:4 are usually the most common reduction ratios.

The Y and Z axes form a 90° angle, and the X axis is usually 45° (or 135°) to both. By convention, angles equal or multiples of 30° and 45° are adopted, leaving aside 90°, 180°, 270° and 360° for obvious reasons.

A volume can be easily drawn from a side view or elevation, drawing lines parallel to Y from each vertex to reflect the depth of the volume.

This type of projection is frequently used due to its ease of execution, although the final result does not give an image as real as the one that would be obtained with a conical projection.

In Latin America, perspective is called perspective that uses a 45° angle of the Y axis with respect to the X axis and no reduction.

Contenido

Para el trazado de la perspectiva caballera, empleando una escuadra, se coloca una regla inclinada a 45° que sirve de referencia para apoyar la escuadra sobre el lado adecuado según la inclinación de la recta a trazar. Las líneas de fuga de la perspectiva caballera se trazan perpendiculares a la regla.

Si sobre los ejes ponemos las coordenadas de un punto, haciendo las paralelas correspondientes a los ejes situamos el punto en el espacio, según la perspectiva caballera.

An example of a gentleman's perspective

As an example of knightly perspective we can take that of a cube, with a circle inscribed on each of its faces.

The y axis is horizontal, the z axis is vertical and the x axis forms 45 degrees with the horizontal, the measurement on the y and z axes are the actual measurement, and on the x axis it is reduced by 50%. The result is the one in the figure on the left. The result is that the front face, axes y, z, is a real square and a circle; On the two lateral faces the square becomes a rhomboid and the circumference becomes an ellipse.

This is the normal way of representing the knight's perspective, with lines of flight at 45 degrees and a reduction in lines of flight of 50%; but with these same values ​​and with different directions for the lines of flight, we can see the following results.