Comment représenter un cube en perspective cavalière ? (les règles: l'angle de fuite, coefficient..)
To see the entire chapter: https://sites.google.com/view/mathsba... How to represent a cube using cavalier perspective? Here are the rules used to create a cavalier perspective drawing: 1) Elements located in a frontal plane (a plane facing the artist, perpendicular to their line of sight) are represented in their true size, without distortion. So, for my cube, I draw a square with sides of, for example, 6 cm to represent the front face. 2) This edge (called a vanishing line) is perpendicular to the edge of the front face, but it is represented at an angle between 30° and 60° to a horizontal axis. I will use a vanishing angle (called a vanishing angle) of 45° relative to the horizontal axis, in a counterclockwise direction. 3) The length of the vanishing lines is reduced on paper compared to reality. We multiply the actual length by a perspective coefficient (often between 0.5 and 0.7, or equal to the cosine of the vanishing angle). I will use a coefficient of 0.7 cm, so a side that measures 6 cm in reality will measure 6 cm × 0.7 = 4.2 cm for the length on the drawing, for the vanishing line. 4) Two parallel lines in reality remain parallel on the drawing. Parallel segments of the same length in the real object are represented by parallel segments of the same length. The ratio of the lengths of two parallel segments is preserved, so here DE = CF. I continue the construction using rules 3 and 4. 5) Hidden lines and edges are represented by dashed lines. Visible edges are represented by solid lines. I draw square GEFH in its true size because it is the rear front face, so I complete the drawing of square GEFH with sides of 6 cm. Edges [GH], [BH], and [HF] are not visible, so they are represented by dashed lines. If you use tiles, then the construction becomes simpler...

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