Pilasters

Pilasters can best be described as rectangular versions of columns attached to a wall. Chambers describes them as being proportioned and decorated in the same manner with the columns and differ from columns in their plan only; wihich is square, as that of the column is round. Their bases, capitals and entablatures, have the same parts, with all the same heights and projections, as those of columns, and they are distinguished in the same manner, by the names of Tuscan, Doric, Ionic, Composite, and Corinthian.

In this chapter, I will:

Some Notes on Pilasters

Before we get started, there are just a few areas I want to cover about how pilasters differ from columns, and some issues they cause and possible solutions.

Applying Diminution to Pilasters

On the question of Pilasters, there seems to be a great deal of disagreement on whether Pilasters should be diminished like Columns, or left undiminished with the Capitals enlarged accordingly.

Chambers notes that Scamozzi always gave to his pilasters the same diminution as to his columns, and mentions Inigo Jones doing so at the Banqueting House as well, while at the same time noting that Palladio, Vignola, Inigo Jones, and many of the greatest architects executed Pilasters without any diminution. He concludes by saying Nevertheless it is certain that diminished pilasters are on many accounts much preferable.

Batty Langley perhaps gave the simplest statement: when pilasters are used with columns, their shafts must have the same diminution as the columns, but when they are used alone, they should not be diminished.

What he doesn’t say, however, is whether they should be diminished both in depth as well as in width. Perrault (who agrees with Chambers on this in general) adds that when they are in line with columns we must give the pilaster the same diminution as the column, but this applies only to its front face, since the sides are left without diminution, as they are on the Temples of Antoninus and of Faustina. What he refers to is described by Desgodets: The Pilaster on the outward face does not diminish like the Columns, being full two modules in width at the fillet immediately under the Capital, but the side which faced the Columns was diminished like the columns, in order to support duly the Architrave which passed over both the Columns and the Pilasters..

Therefore, the steps below will assume that diminution is applied to the pilaster only on the front view (by which I mean when looked at from the front, the sides will diminish upwards, but when looked at from the side, the pilaster will project an equal amount from the wall all the way up the shaft).

Entasis & Pilasters

With regard to entasis, while there is disagreement about Diminution, I can’t find any specific references to Entasis ever being applied to Pilasters by any authority I have consulted.

However, there are two references that might be presumed to indicate it should by applied. The first is where Chambers refers to Pilasters as being proportioned and decorated in the same manner with the columns, and pilasters differ from columns in their plan only, which is square, as that of the column is round. And, the second is the quote above by Langley, which could indicate pilasters used with columns should have entasis applied to completely match the look of columns. However, in both instances the authorities don’t specifically mention entasis anywhere, so I am not certain this would apply. However, a problem with this is Chambers certainly does not use the word entasis, only diminution, so when he mentions diminution he could also be referring to the curve not just the diminishing diameter.

However, as there is no solid evidence (and it does not seem logical to apply it to a surface placed against a flat wall), the steps below will assume that Entasis will not be applied, only diminution.

Projection of Pilasters

Whether Pilasters are diminished or not, there is the question of how far they project out from the wall. This seems to be determined not only by the Authority you follow, but also the use and placement of the Pilasters.

Chambers, Le Clerc, Perrault, & Ware all go into detail regarding the handling of pilsters, so for more information you can read these or the authority of your choice.

Just note, that for the sake of the examples below, I am assuming the Pilaster will project 1/4 of the lower diameter following Chambers, who remarks they should project one quarter of their diameter beyond the walls, as Scamozzi teaches.


The Tuscan Pilaster Order

As quoted above, Chambers notes that Pilasters differ from columns in their plan only, which is square, as that of the column is round. Their bases, capitals and entablatures, have the same parts, with all the same heights and projections, as those of columns. As a result, the profiles used for the columns will serve as the basis for generating the pilaster order profiles, so the below instructions assume all the profiles needed to make the column order have already been created.

The steps in forming the pilaster order will differ from that of the column, as the pilaster itself will be created first, then the pedestal and entablature. The reason for this is that both of the latter can be used in a linear running fashion along a wall, while the pilaster, though attached to the wall, is still a separate element. Indeed, where the pedestal and entablature are concerned, the pilaster itself can simply be thought of as a forward break in the wall, which is exactly how the cores of both elements will be created.

Creating the Pilaster Profiles

    The Pilaster Shaft Profiles

    Two profiles will be created for the pilaster shaft in order to take into account the issue of diminution that gets applied here.

    Therefore the pilaster shaft needs to have entasis removed, and also have profiles both for the front and side (to accommodate the diminished and non-diminished aspects).

  1. Unhide the Column-Shaft-profile, copy it into memory, hide it again, Paste-in-Place, Make Unique, and rename Pilaster-Shaft-Diminished-profile
  2. Open the component, erase the arc forming the outer edge of the profile, and replace with a line connecting the endpoints of the two congé moldings (to replace the entasis with simple diminution), then close the component
  3. Select the component, copy it into memory, hide the original, Paste-in-Place, Make Unique, and rename Pilaster-Shaft-QuarterProjection-profile
  4. Open the component, select the top right area of the profile (containing the astragal, fillet & congé), and move them 5 min to the right on the Red Axis (to remove diminution from this profile), then select the entire right side of the profile and move it 15 min to the left on the Red Axis (which will set the projection from the wall to be 1/4 of the diameter), then close the component
  5. Forming the Pilaster Elements

    The following steps are arranged in order of ease, not the same order as was used in forming the column.

    The Pilaster Shaft

  6. Copy the Pilaster-Shaft-QuarterProjection-profile into memory, hide the original, Paste-in-Place, and Make Unique (for temporary use)
  7. Rotate the component 90 degrees clockwise towards the front, using the Centerline as the pivot
  8. Open the component, join any divided arcs with the Weld extension, and use Push/Pull to extrude the face out about 60 min to the left and right (to make sure it spans the pilaster width), then close and hide the component
  9. Unhide the Pilaster-Shaft-Diminished-profile, copy it into memory, hide the original, Paste-in-Place, Make Unique, and rename (I just remove ‘profile#1’ from the name)
  10. Open the component, and join any divided arcs with the Weld extension
  11. Next, select all, and rotate/copy the geometry 180 degrees clockwise centered on the Centerline, then reverse the face of the rotated side, and erase the line running through the new center, and use Weld again on the top edge to join the two segments together
  12. Now use Push/Pull to pull the face out towards the front about 60 min, then close the component
  13. Unhide the Pilaster-Shaft-QuarterProjection-profile#1, cut it into memory, open the Pilaster-Shaft-Diminished, Paste-in-Place, then explode the pasted component
  14. Then select all, Right-click, and choose Intersect Faces With Selection
  15. Double-click on the three ‘profile faces’ that extend beyond the intersecting geometry at the left, front and right, and delete them, followed by the lines remaining from their sides
  16. Check over the resulting geometry, and erase any lines that are remaining on faces where they should not be located, and hide any lines that are not supposed to be seen, then close the component
  17. The Pilaster Base

  18. Unhide the Column-Base-Plinth-profile and Column-Base-Torus-profile, copy them, hide the originals, Paste-in-Place, and create new component Pilaster-Base
  19. Open the new component, explode the two original components, erase the line running therough the center, and use Weld to join any separate arcs together
  20. With the Pilaster-Shaft-Diminished still open, draw a line, from it’s rear right corner, downwards on the Blue Axis to the bottom of the base, then erase the geometry to the left of the line just drawn, and draw three lines over the edges of the front and sides of the bottom of the pilaster shaft
  21. Select the three lines just drawn (outlining the exterior of the pilaster shaft), and use Follow-Me on the face of the base, then close the component
  22. The Pilaster Capital

  23. Unhide the Column-Capital-Abacus-profile and Column-Capital-Ovolo-profile, copy them, hide the originals, Paste-in-Place, and create new component Pilaster-Capital
  24. Draw a line, on the top of the Pilaster-Shaft-Diminished, starting from the bottom right corner of the new component, coming forward 15 min on the Green Axis, then going leftwards 50 min towards & past the Centerline, then backwards 15 min on the Green Axis, then cut the three lines into memory
  25. Open the new component, explode the two original components, erase the line running therough the center, and use Weld to join any separate arcs together
  26. Draw a line, starting a short distance to the left of the bottom right corner of the capital, going up to the top of the capital, then erase all the geometry to the left of that line
  27. Paste-in-Place the lines copied earlier, and use Follow-Me on the face of the capital, then close the component
  28. The Full Pilaster

  29. Select the Pilaster-Base, Pilaster-Shaft-Diminished & Pilaster-Capital, and make a new component Pilaster-standalone

The Pedestal & Entablature for the Pilaster

The steps to form these components are similar to those used for the standalone column pedestal and entablature, just customized for the pilaster.

<&>See Wrapping a Molding Profile around a Core (Or Path) on page ... for a refresher.

    The Pedestal for the Pilaster

    For this, the molding profiles will be reused, but the die core will be recreated, as it is just easier due to the geometry involved.
  1. Unhide the Pedestal-Base-Molding-profile and Pedestal-Cap-Molding-profile, copy them into memory, hide the originals, Paste-in-Place, Make Unique, and Rename (I just add ‘Pilaster’ before ‘Pedestal’ and remove ‘profile#1’ from the end)
  2. With the Pilaster-standalone visible, draw a rectangle around the bottom of the base, use Push/Pull to extend the face down to the bottom of the pedestal base molding component, then Triple-click and make a component Pilaster-Pedestal-Die-Core, and hide the Pilaster-standalone
  3. Open the Pilaster-Pedestal-Cap-Molding, draw lines around the front and two sides of the top of the pedestal die, select them, then use Follow-Me on the face of the molding, then close the component
  4. Repeat the above for the Pilaster-Pedestal-Base-Molding, except draw lines around the bottom of the die and hide the top edges of the congé molding before closing the component
  5. Select the Pilaster-Pedestal-Die-Core, Pilaster-Pedestal-Cap-Molding & Pilaster-Pedestal-Base-Molding and make a new component Pilaster-Pedestal-standalone
  6. The Entablature for the Pilaster

    The steps here are similar to that for the pedestal, but in this case it is easiest to use the existing frieze core, along with the molding profiles.
  7. Unhide the Entablature-Architrave-Molding-profile, Entablature-Cornice-Molding-profile & Entablature-Frieze-Core-profile, copy them into memory, hide the originals, Paste-in-Place, and Make Unique, and rename (I just add ‘Pilaster’ before ‘Entablature’ and remove ‘profile#1’ from the end)
  8. As the pilaster is not diminished in depth, the entablature core will project out 15 min, so open the Pilaster-Entablature-Frieze-Core, select all, and rotate/copy the geometry 180 degrees clockwise on the Centerline, reverse the rotated face, erase the center line, and Push/Pull the face out 15 min, and close the component
  9. Now, just like for the pedestal, open each of the molding copies, draw lines around the frieze edges, select them and use them as the path for the Follow-Me tool to wrap the moldings around
  10. Select the Pilaster-Entablature-Architrave-Molding, Pilaster-Entablature-Cornice-Molding and Pilaster-Entablature-Frieze-Core and join them into a new component Pilaster-Entablature-standalone
  11. The Complete Pilaster Order

  12. Unhide the Pilaster-standalone to see the three pilaster components together

The Running Pedestal and Entablature

There are two ways that can these components can be created, for two different scenarios. Although I will illustrate them separately, they could be used for either component as necessary.

The Running Tuscan Pedestal

If you want the pedestal moldings to stretch along a wall or around a room simply follow the steps above, but instead of wrapping the moldings just around the die you would select all the edges on the wall where you needed them to appear.

If you were using these moldings as just a baseboard and chair rail you could select just the walls for your path. However, if you are including pilasters, you would place your pedestal dies and then wrap around both wall and die at the same time.

The Running Tuscan Entablature

To utilize the entablature so they span multiple columns, place a copy of your profile in the proper position that you need and simply Push/Pull the core profile the desired length, then repeat the steps for Wrapping a Molding Profile Around a Core (or Path) in the Appendix.


The Doric Pilaster Order

The Doric pilaster order can be created in much the same way as the Tuscan pilaster order, as the only structural difference would be in accounting for the repeating elements of the entablature.

Just as with the Tuscan order, creating the pilaster assumes all the profiles needed to make the Doric order have already been created.

Creating the Pilaster Profiles

Just as with the Tuscan pilaster, only diminished and non-diminished profiles for the shaft need to be created here.

The Pilaster Shaft Profiles

Just as with the Tuscan pilaster order, diminution will be applied to the sides of the shaft while the depth remains a constant 1/4 diameter out from the wall.

The Doric pilaster shaft profiles can be created the same exact way as the Tuscan pilaster profiles.

<&>See the The Pilaster Shaft Profiles in the section The Tuscan Pilaster Order in the chapter The Tuscan Order on page … for a refresher.

When you are done, you should have the Pilaster.Shaft.Diminished.profile & Pilaster.Shaft.QuarterProjection.profile made, with the latter open on the screen.

Forming the Pilaster Elements

The Doric pilaster shaft, base and capital can all be created almost the same as for the Tuscan pilaster order, except for slight changes due to the added complexity of the base and capital elements.

The Pilaster Shaft

The pilaster can be formed exactly the same as for the Tuscan order.

<&>See the Forming the Pilaster Elements in the section The Tuscan Pilaster Order in the chapter The Tuscan Order on page … for a refresher.

When you are done, you should have the Pilaster.Shaft.Diminished complete and open on the screen.

The Pilaster Base

The Doric pilaster base can be formed much the same as for the Tuscan, but here you will be using the Column.Base.Plinth.profile and Column.Base.Torii.profile as your originals instead, and there will be one additional change needed.

After you have created your Pilaster.Base, exploded the inner components and erased the dividing line, you can’t draw a new line coming straight down from the rear right corner of the Pilaster.Shaft.Diminished as the scotia curve is in the way. Therefore, instead of drawing a line, draw an arc, starting from the same rear right corner, going inwards towards the Centerline, then coming back outwards to the bottom right corner of the base profile. This will give you the face you need for the Follow-Me tool.

Everything else is the same.

The Pilaster Capital

Just as for the base, there are slight differences when forming the pilaster capital.

  • Unhide the The Pilaster.Capital will be formed from three components (Column.Capital.Abacus.Fascia.Core.profile, Column.Capital.Abacus.Cymatium.Molding.profile and Column.Capital.Ovolo.profile) instead of two. Erase not just the line separating the abacus from the ovolo, but also the one separating the abacus cymatium from it’s fascia. *** Draw the lines for the path inside the new component after using weld *** Use an arc instead of line, then clean up by double-clicking curved back face, de-selecting top and bottom edges and deleteing face *** Draw line connecting top rear corners to create top of capital (back not needed)

    The Pedestal & Entablature for the Pilaster

    The steps to form the pedestal will match those for the Tuscan order, but additional steps are needed for the Doric entablature.

    The Pedestal for the Pilaster

    The steps to create the pedestal will be exactly the same as for the Tuscan order. When you are done you should have the Pilaster.Pedestal.standalone.

    The Entablature for the Pilaster

    The steps for the Doric pilaster entablature will follow those for the Tuscan, but with a few minor changes. Other than using the Entablature.Architrave.Tenia.profile as your architrave molding profile, the only other change will be additional steps for the repeating elements and the soffit of the corona. Once, the entablature moldings have been wrapped around the core, the following has to be done as well.
  • Un-hide the Entablature.RepeatingElements, copy, hide the original, and Paste-in-place The location of the component, following the instructions above, has it sitting with it’s rear midpoint on the wall plane of our pilaster, at the right edge facing towards the right.
  • Move the component forward on the Green Axis 25 min (this is the depth of the mutule band), then rotate it 90 degrees clockwise, using the corner of the mutule band as the pivot point
  • Finally, move it leftwards to the center of the pilaster entablature (you can use the corner of the mutule band as your start point and the midpoint of the band as your end point) As the depth of the frieze is 15 min and the distance between the edge of the frieze and corner of the Triglyph is 10 min, it is theoretically possible that some part of the Triglyph and Mutule should be on the sides, however, I can find nothing to prove this, and, to me at least, unless it were an actual half of the elements, would appear very strange. Therefore I am going to only have the front facing Triglyph and Mutule. If you feel the need for one at the side, such as if you had the pilaster projecting half it’s depth at the side, then you could make a unique copy of all your repeating elements, and then trim them so only half of each exists.

    The Soffit of the Doric Pilaster Entablature

    Unlike the Tuscan soffit, the Doric is heavily decorated (normally, and in this example) so must be handled special just as with the column entablature.
  • Open the Pilaster.Entablature.Cornice.Molding, select the face of the bottom of the corona (just it’s face, not it’s edges) and delete that face, then erase the bottom edge of the back of the cornice, and close the component
  • Unhide the Entablature.SoffitOverCorner, copy it, hide the original, Paste-in-place, Make Unique, rename (I just add “Pilaster.” to the beginning and remove “.profile#1” from the end)
  • Move the component backwards on the Green Axis, so it’s front right corner is even with the front right corner of the pilaster corona As you will see, due to the depth of the pilaster, we have 8 1/4 min of empty space left behind the rear panel and fillet, as well as 10 min of extra fillet projecting out the back.
  • First, open the component, draw a line, starting from the right rear bottom corner of the corona, leftwards on the Red Axis 31 3/4 min (thus reaching the mutule cymatium top edge), then continue it forwards on the Green Axis 8 1/4 min to reach the fillet of the soffit
  • Right-click the Entablature.Soffit.FilletOverCorner, Make Unique, rename (again, I add “Pilaster.” and remove “.profile#1”), cut the two lines just drawn, open the component, and Paste-in-place
  • Double-click the face of the fillet extending behind the line just pasted, Right-click and choose Unhide (this is to see the hidden end line of the fillet), then delete the three edges extending beyond the pasted line This leaves you ready to decide how to handle this area. As I can find no more information on this than regarding the frieze, there are three options I can see for handling this: Leave the area blank, and continue the fillet backwards as a flat plane; Resize the Entablature.Soffit.Panel.CavettoDiamond to fill the space backwards to a new rear fillet; Or, create a simple recessed panel to fill the space in front of a rearmost fillet. As I feel the first option would look too plain, and the second somewhat awkward since it would be differently proportioned than the same form of panel around the corner, I will do the third option here.
  • Open the Pilaster.Entablature.Soffit.FilletOverCorner again, select the two lines pasted earlier, and use Offset to copy them inwards 1 3/4 min (the width of the fillets)
  • Erase the two short lines separating them from the main fillet, along with the new face created in their middle, then close the component
  • Move/Copy the Entablature.Soffit.Panel.CavettoCorner so it’s front edge is positioned in the empty space the deleted face occupied, then Right-click, Make Unique, and rename (here I rename it to Pilaster.Entablature.Soffit.RearPanel
  • Open the new component, rotate your view so you see the underside at right angles to your screen (since the axes are diagonal for this component), select the rear half of the geometry (containing the moldings) and move them forward till their rear edge is even with the front of the last fillet (following the above instructions it should be 21 3/4 min), then close that component and the soffit component
  • Now move/copy the Pilaster.Entablature.SoffitOverCorner leftwards on the Red Axis till it is past the left side of the entablature, Right-click, Flip Along Component’s Red, and move back so it’s placed on the left of the entablature soffit
  • Select the Pilaster.Entablature.Cornice.Molding, Pilaster.Entablature.Frieze.Core, Pilaster.Entablature.Architrave.Tenia, Entablature.RepeatingElements and the two Pilaster.Entablature.SoffitOverCorner components, and make new component Pilaster.Entablature.standalone

    The Complete Pilaster Order

    image of completed full pilaster order Of course, all of the above assumes a standalone pilaster order. If you have the pilaster as part of a wall, the Entablature will be run along the wall and around the pilaster’s entablature core, so see below for details on that.

    The Running Pedestal and Entablature

    The Running Doric Pedestal

    The running Doric pedestal (or chair rail & baseboard) can be created just like for the Tuscan order.

    The Running Doric Entablature

    This can initally be constructed just like the Tuscan, but afterward the repeating elements will need to be handled. The placement of the repeating elements is based on the principle of intercolumniation, or spacing between columns, so specific details will be handled in the section Notes on the Use of the Orders under Intercolumniation in the chapter Conclusion. Once you know the spacing, you can simply move/copy the first RepeatingElements component from one point to the next, then repeat the move/copy by typing “x” and the number of moves/copies you want repeated along the wall or colonnade. The soffit presents other problems, due to it’s complex nature in this order. If you are running a straight line, then it can be handled like the repeating elements, just delete the plain soffit and place your elements accordingly. However, if you are placing pilasters along a wall and will have the cornice wrap around the pilaster entablature cores (which is frequently done), then you will have to cope with adjusting your soffit to handle the inside and outside corners. This is too complex an issue to handle here, and depends on personal preference, so that is something that you must decide on your own. The method I used above in creating the standalone pilaster entablature will, hopefully, offer some help on the technical details. With regard to the soffit elements, they assume the existence of the mutule, which is why I included the fillets in front of the mutule locations, as when they are arrayed down they will completely cover the area once occupied by the soffit face.

    Doric Conclusion

    The creation of the Mutular Doric order has introduced several new methods and practices, as well as re-using a large number from the previous chapter. This will be true for the following chapters as well, where each order, while having it’s own character and introducing new methods, is built on the same classical background as the rest. One additional note here is that there are two other cornices used in the entablatures of the Doric order. These are what might be called the Antique cornice and the Denticular cornice. The Antique cornice is the type used by the Greeks, described by Vitruvius, and shown by both Serlio and Palladio. The main difference with the Mutular is that the mutules of the Antique don’t hang down out of the soffit, but are embedded up into it. Examples of this can be found in the treatises of both Serlio and Palladio, as well as in Chambers’ treatise, where he shows an example from Palladio’s Basilica at Vicenza. The Antique cornice can easily be created following the steps in this chapter. The main change will be just to adapt the formation of the guttae on the undersides of the mutules so they are on the undersides of the soffit. The Denticular cornice is first found used in the Doric order (to my knowledge) in the Theatre of Marcellus in Rome, dating to the 1st century B.C., and was made popular when Vignola adopted it as an alternative in his treatise on the orders. This form replaces the prominent hanging mutules with dentils placed under the soffit, combined with the inset mutules of the Antique form. The Denticular cornice can be created by combining what you learned here with what will be shown in the next chapter on the Ionic entablature, whose primary feature are it’s dentils under the soffit. The following is the suggested list of components to save for this order: