The prism ("something sawn off" in translation from Greek) consists of two bases of an identical form which lie in the parallel planes, and side sides. Side sides have the parallelogram form, and their quantity depends on number of tops in polygons of the bases. It is possible to draw such figure with the basis of the correct six-sided form by means of various auxiliary constructions.
It is required to you
- Paper, pencil, ruler, eraser.
Instruction
1. Put any end at the left edge of a leaf, having postponed about a third of height of the drawing from the upper edge. From it carry out a horizontal piece to the same point at the right edge. Through the midpoint carry out a perpendicular, measure in both parties from its crossing with a horizontal piece about a third of length of a horizontal line and put couple more of the end there. Connect four points, having drawn in such a way a rhombus - a rectangular isometry of a square. The top six-sided basis of a prism will be entered in it.
2. Draw a line through the middle left lower and right top the parties of a rhombus - it can be considered abscissa axis of a system of coordinates, and points of intersection with the parties of a rhombus will be two opposite tops of a hexagon. Designate the left lower top by letter A, and right top - letter D.
3. Divide AD piece into four equal parts and designate in them three auxiliary points. Through each point draw the straight lines parallel lower left and top right to the parties of a rhombus. The straight line drawn through an average point will designate ordinate axis. Increase length of a piece of AD by the number equal ¼ * √ 3 (about 0.43), lay off the turned-out distance in both parties from crossing of ordinate axis with a piece of AD and put couple more of the auxiliary end.
4. Through these points draw the lines parallel top left and lower right to the parties of a rhombus. To places of their crossing with two lines drawn on the previous step (excepting the line of ordinate axis) put the end - it will be missing four tops of the top basis of a prism. Designate them in the direction counterclockwise Englishby the letters alphabet - begin with B (the point is more right already existing A).
5. Connect points in pairs, having drawn in such a way a hexagon of the top basis of a prism.
6. Vertical diagonal of a rhombus can be considered an axis of z-coordinates of a rectangular system of coordinates. From points of F, A, B, C carry out pieces parallel to this axis down. Lengths of pieces have to be identical and equal to prism height. If the prism has to be an inclined plane, but not a straight line, carry out these pieces under the corresponding corner to an axis of z-coordinates.
7. Too connect the ends of pieces in pairs - it is visible tops of the lower basis of a prism. On it the drawing can be considered finished - in it all sides (top hexagonal basis and three side sides) seen from this foreshortening are represented. If necessary it is possible to represent a dotted line edges of an invisible part of a figure, having carried out by a similar way vertical pieces from other points and too having connected their lower ends in pairs.