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Hexagons

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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
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

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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