Isometricdrawings(perspectives)

Isometric projections A cube shown with this type of projection pivots 45 to show two faces on the projection plane instead of a single face.It is then tilted frontward or backward, allowing three faces to be observed.

Isometric projections

Isometric projections

Isometric projections

Isometric projections

Isometric projectionsThis front view shows the isometric projection of the cube in its new position.Because the cube is tilted, most of the dimensions of its isometric projection are about 80% of their true dimensions.

Isometric projections

Isometric projectionsAll lines parallel to axes 1, 2 and 3 are isometric lines.

The isometric lines are angled at 30.

The lines not parallel to axes 1, 2 and 3 are non-isometric lines.The sides of the cube and all planes parallel to them are isometric planes.Axes 1, 2 and 3 form 120 angles between one another. The projection is isometric (equal measures) because the height of axis 1, the length of axis 2 and the width of axis 3 are all proportionally reduced.Characteristics of isometric projections

Isometric projections

We will illustrate the main stages of isometric drawing of the object shown above in multi-view. We will use a method called box construction.

We will illustrate the main stages of isometric drawing of the object shown above in multi-view. We will use a method called box construction.

To create the box, use construction lines to outline an isometric box as large as the overall object to be drawn. The vertical axis is equal to the real height. The two other axes, drawn at 30 to horizontal, correspond to the actual width and length of the object.

The object is drawn by removing volumes from the box.A 30- 60 set square is used to trace the isometric lines.The box is an isometric drawing as large as the overall object to be shown. Its lines are drawn very faintly.

Measurements are reported on the isometric axes, or on lines parallel to these axes.

Sketch the box.STAGES OF DRAWING IN ISOMETRIC PERSPECTIVEMeasure on the axes and trace the details in construction lines. Carry out the final layout.

Non-isometric (oblique) lines and surfaces are not true to size in isometric perspective. Isometric drawing How to draw non-isometric lines and surfacesDimensions of inclined lines and surfaces are determined by using their coordinates which must be located on isometric lines.

Isometric drawing

Isometric drawing Grids and isometric drawingA grid which includes all three isometric axes may be used to draw isometric perspectives.

Isometric drawing

Isometric drawing Showing circles and arcs of circles in isometricsCircles and arcs of circles on isometric planes are shown in isometric projection using ellipses within an isometric square.The sides of the square are equal to the diameter of the circle and each side of the circle touches the square.To draw a circle in isometric perspective on the computer, use a modified circle inserted into an isometric square.To draw it as a sketch or with a compass, draw four arcs of the circle in an isometric square.

Isometric drawingHow to draw an ellipse composed of four arcs using a compass

1- Trace an isometric square. 2- Find the center of the square using diagonals, then trace the axis lines.

Isometric drawingHow to draw an ellipse composed of four arcs using a compass3- Finally, trace the median lines.

Isometric drawingHow to draw an ellipse composed of four arcs using a compass3- Finally, trace the median lines. The meeting point of the medians shows the center of the four arcs of the circle.

Isometric drawing

Isometric drawingORTHOGRAPHIC MULTI-VIEW PROJECTION

ISOMETRIC PROJECTION How to draw an object containing rounded parts