How to draw a four-bevel on a geometric artboard

how to draw a four-bevel on a geometric artboard

The specific steps are as follows:

1. Create a new geometry artboard file. Draw segments AB and BC. Select the points B, C, and click Transform-Mark vectors.

2. Select Segment AB, select "Transform"-"translate" command, translate line AB to the mark Vector. Change the generated point a ' d.

3. Draw the parallelogram ABCD as well as diagonal AC and BD, and the intersection of the segment AC and BD is set to O. As shown in the following figure.

Geometry artboard

4. Arbitrarily draw a line segment de. Select the point D and E to mark vectors in turn. The point O is translated in the direction of the marker vector to get point o '.

5. Draw Segment ao ', BO ', CO ', do ', OO '. Set the line segment Oo ', do ', AD, CD, AC, BD as dashed lines. As shown in the following figure.

Geometry artboard

6. Take a little F from the line segment de, select Points E, D, F, and select the transform-mark ratio command. Double click o ', point O ' as center. Select Points A, B, C, D, and choose Transform-zoom to get points a ', B ', C ', d '. Draw line Segments A ' B ', B ' C ', C ' d ', d ' A '. As shown in the following figure.

Geometry artboard

7. Hide unwanted objects. Select Segment ao ', BO ', CO ', do ', OO ', De and Point O ', E, select ' Show '-' Hide object ' command. Draw Segment AA ', BB ', CC ', DD '. Set DD ' as a dashed line. So the four-bevel is done, and when we adjust the position of the point F, we can see that the four bevel is also changing. As shown in the following figure.