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Hexagons & Hexagonal Prisms




17/02/03     Designed by Barry Forbes
Hexagons

   Hexagons are 6 sided shapes.

   Hexagons can be dimensioned in 2
    different ways.
     – 1. Across the faces.
     – 2. Across the corners.


17/02/03           Designed by Barry Forbes
Hexagons- Across the Faces
       The dimension of the hexagon is taken
       from one face to the opposite face.




17/02/03            Designed by Barry Forbes
Hexagons- Across the Corners
       The dimension of the hexagon is taken
       from one corner to the opposite corner.




17/02/03             Designed by Barry Forbes
Hexagons - How to draw them
           Draw circle at the required size.

If the hexagon is to be                              If the hexagon is to
50mm across the                                      be 50mm across the
corners or (AC) the
                                                     faces or (AF) the
draw a circle Ø50.                                   draw a circle Ø50.




17/02/03                  Designed by Barry Forbes
Hexagons - How to draw them
 For hexagons across the flats use your 30°/60° set
 square to draw the lines to make up the hexagon.



The hexagon should be drawn              outside the circle.



17/02/03              Designed by Barry Forbes
Hexagons - How to draw them
 For hexagons across the corners use your 30°/60°
 set square to draw the lines to make up the hexagon.



The hexagon should be drawn              inside the circle.



17/02/03              Designed by Barry Forbes
Hexagonal Prisms
   Hexagonal prisms are
    similar to cylinders but
    instead of having a circular
    cross section they are
    hexagonal.




17/02/03          Designed by Barry Forbes
Hexagonal Prisms - the Elevation
Now we will draw the Elevation
of the hexagonal prism.




                                 Height
                    Height



                             We see each of the faces as
                             rectangles with the widest
                             being the centre.
       Elevation
Hexagonal Prisms - the Plan
                                   Now we will draw the Plan
                                   of the hexagonal prism.

                                   Project the lines up from the
                                   Elevation.




17/02/03   Elevation   Designed by Barry Forbes
Hexagonal Prisms - the Plan
                               Then use your 30/60 set square
                               to complete.


              Plan




17/02/03   Elevation   Designed by Barry Forbes
Hexagonal Prisms - the End Elevation
                                                  Draw a 45° from the
                                                  top right hand corner
                                                  of the Elevation.


                                                  This 45° line is called
              Plan                                a bounce line.




17/02/03   Elevation   Designed by Barry Forbes
Hexagonal Prisms - the End Elevation


                                                  Project the depth of
                                                  the block across to
                                                  the bounce line then
              Plan                                where they intersect
                                                  project down.




17/02/03   Elevation   Designed by Barry Forbes
Hexagonal Prisms - the End Elevation

                                 Now project the
                                 heights across from
                                 the Elevation to
                                 complete.
        Plan




     Elevation   End Elevation
Hexagonal Prisms - the Completed Orthographic




         Plan




      Elevation     End Elevation
Hexagonal Prisms - With Cuts

   Sometimes the top or the bottom (or both of
    these) are chopped off the prism. This could
    be if the prism was for a label or storage for
    something.
   So how do we draw this?
   The next few slides will show us.



17/02/03           Designed by Barry Forbes
Cut Hexagonal Prisms - the Elevation
   Either the Elevation or End
   Elevation will normally be
   given drawn for you.

   Therefore, you will have to be
   able to identify them.



                                        Spot the cuts


17/02/03   Elevation   Designed by Barry Forbes
Cut Hexagonal Prisms - the Plan


                                   Project the lines up from the
                                   Elevation as shown.




17/02/03   Elevation   Designed by Barry Forbes
Cut Hexagonal Prisms - the Plan
                               Use your 30/60 set square to
                               complete the normal hexagonal
                               shape.

              Plan
                                Even though the top and bottom
                                of the prism have been cut, the
                                outline from the plan view
                                remains the same.




17/02/03   Elevation   Designed by Barry Forbes
Cut Hexagonal Prisms - the Plan
                               Now project up the lines from
                               where the cuts are made.


              Plan




17/02/03   Elevation   Designed by Barry Forbes
Cut Hexagonal Prisms - the Plan
                              Now darken in these lines on
                              the plan.


              Plan          You won’t be able to see the cut on
                            the bottom of the prism so it will be
                            drawn as a hidden detail line.




17/02/03   Elevation   Designed by Barry Forbes
Cut Hexagonal Prisms - the End Elevation


                                                  Now that the plan is
                                                  complete we have to draw
                                                  the End Elevation.

              Plan
                                 Before we can draw our 45° bounce
                                 line we have to find out where the top
                                 right hand corner of the Elevation is.


                           To do this extend the top across and
                           the side up. Draw your 45° bounce
                           line from where they cross.
17/02/03   Elevation   Designed by Barry Forbes
Cut Hexagonal Prisms - the End Elevation


                                                  Project the depth of
                                                  the block across to
                                                  the bounce line then
                                                  where they intersect
              Plan
                                                  project down.




17/02/03   Elevation   Designed by Barry Forbes
Cut Hexagonal Prisms - the End Elevation


                                  Now project the
                                  heights across from
                                  the Elevation to
                                  complete.
         Plan




      Elevation   End Elevation
Cut Hexagonal Prisms - the End Elevation
                   This shape looks awkward but
                   remember, there are 6 corners and
                   faces of the shape so the cuts can
                   only go to the corners.

         Plan




      Elevation   End Elevation
Hexagonal Prisms - the Development

   A development is a flat template of a 3D
    shape that when folded up in the correct
    way makes the actual shape of the 3D
    object.
   Developments are particularly useful
    when modelling new design ideas or to
    prepare for folding shapes in sheet
    metal.
17/02/03         Designed by Barry Forbes
Hexagonal Prisms - the Development
                       Here the development of the sides will be
                       drawn. This does not include the top and
                       bottom of the prism.

                         Project the height of the prism
                         across the page.
              Plan




17/02/03   Elevation   Designed by Barry Forbes
Hexagonal Prisms - the Development
                                 Now, using a compass, step out
                                 the lengths of each side onto
                                 these lines.

                                     Draw vertical lines at each of
                                     these points.
              Plan




17/02/03   Elevation   Designed by Barry Forbes
Hexagonal Prisms - the Development
           6                   1
                                                       To make things easier we
                                                       number each of the corners of
                                                       the hexagon.
 5                                     2
                                                        Do this as shown on the Plan,
                                                        Elevation and development.
           4               3
                    Plan               1           2        3         4    5       6    1
                                           A development always starts and ends with
                                           the same numbered corner. When it folds up
                                           these should meet.

                                               Here one number is above the other.
                                               This is because corner number 3 is in
     5                                         front of corner 1.
17/02/03       4 Elevation 3       2       Designed by Barry Forbes
               6          1
Hexagonal Prisms - the Development
           6                   1
                                                       Project the cuts across onto the
                                                       development marking the
 5                                     2               appropriate corners as you go.


           4               3
                    Plan               1           2        3         4      5       6    1




     5
17/02/03       4 Elevation 3       2       Designed by Barry Forbes
               6          1
Hexagonal Prisms - the Development
           6                   1
                                                       Project the cuts across onto the
                                                       development marking the
 5                                     2               appropriate corners as you go.


           4               3
                    Plan               1           2        3         4      5       6    1




     5
17/02/03       4 Elevation 3       2       Designed by Barry Forbes
               6          1
Hexagonal Prisms - the Development
           6                   1
                                                       Project the cuts across onto the
                                                       development marking the
 5                                     2               appropriate corners as you go.


           4               3
                    Plan               1           2        3         4      5       6    1




     5
17/02/03       4 Elevation 3       2       Designed by Barry Forbes
               6          1
Hexagonal Prisms - the Development
           6                   1
                                                       Project the cuts across onto the
                                                       development marking the
 5                                     2               appropriate corners as you go.


           4               3
                    Plan               1           2        3         4      5       6    1




     5
17/02/03       4 Elevation 3       2       Designed by Barry Forbes
               6          1
Hexagonal Prisms - the Development
           6                   1
                                                       Project the cuts across onto the
                                                       development marking the
 5                                     2               appropriate corners as you go.


           4               3
                    Plan               1           2        3         4      5       6    1




     5
17/02/03       4 Elevation 3       2       Designed by Barry Forbes
               6          1
Hexagonal Prisms - the Development
           6                   1
                                                       Project the cuts across onto the
                                                       development marking the
 5                                     2               appropriate corners as you go.


           4               3
                    Plan               1           2        3         4      5       6    1




     5
17/02/03       4 Elevation 3       2       Designed by Barry Forbes
               6          1
Hexagonal Prisms - the Development
           6                   1                       Now join your dots up to
                                                       complete the development.

 5                                     2            As the hexagonal prism has no
                                                    curves, use a straight edge to
                                                    join the dots.
           4               3
                    Plan               1           2        3         4    5       6   1




     5
17/02/03       4 Elevation 3       2       Designed by Barry Forbes
               6          1
Hexagonal Prisms - the Development
           6                   1
                                                       Here is a clearer view of the
                                                       complete development.
 5                                     2


           4               3
                    Plan               1           2         3        4      5         6   1




     5
17/02/03       4 Elevation 3       2       Designed by Barry Forbes
               6          1
Hexagons & Hexagonal Prisms

   Hexagons are 6 sided shapes.
   Hexagons can be dimensioned A/F or
    A/C.
   The corners should be numbered when
    drawing hexagonal prisms to make it
    easier to tell where cuts go.
   A development will fold up to make a 3D
    model of the object.
17/02/03        Designed by Barry Forbes

				
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