A cube dial was desired for latitude 32.75, longitude 108.2 and
the dial was not aligned true north, it was offset about 5.6
degrees. There was to be an east, south, and west dial plate, the
dial was to be corrected for longitude. The
notes here, about
600k in PDF format, cover the very beginning of the project until
its completion. The spreadsheet
illustratingShadows.xls is used.
This case study is an excellent demonstration of using the
spreadsheet (or pure trig) and making sense of the data.
CASE STUDY (click here) ~ a declining incliner
which is a major feature of the book ILLUSTRATING

The two full chapters on declining incliners (inclined
decliners) using CAD, trigonometry, spreadsheets, other
software and geometry is a key part of Illustrating
Time's Shadow.

Then the design is reworked in its three major phases ~
dial center and noon line, SD and SH, and finally the
hour lines. Then in a quick step, the dial is adjusted for
longitude along with a discussion on what does and
what does not need reworking and a discussion on why
you would or would not make that adjustment. Then
construction details show the dial being built, as shown
completed on the left. The DeltaCAD macros on this
web site also facilitate this design.

The general spreadsheet
supports declining incliners.
CASE STUDY ~ This took one day to build, and the two page file is about 90k. A
circular concrete paver, a brick, and whatever is needed for the column - in this
case three 8x8x8 and two 2x12x12 pavers. A threaded bolt or some 1/4 inch copper
tubing for the gnomon, and a dremel engraver and a dremel rotary tool. This dial is
longitude corrected (which is why the two mounting holes are not symmetrical), set
at latitude, and easy to read. It actually sits on one of the three columns of the
analemmatic dial shown also on this page, and an armillary sit on the second, and
a polar dial on the third.
CASE STUDY ~ This took a couple of days, it is an armillary
dial made from a clay flu liner.
The file is about 100k and
three or four pages. This dial is longitude adjusted and has
calendar lines.

This dial and the paver equatorial rest on the 6 am and the 6
pm columns of the large garden analamettic dial.
CASE STUDY ~ A polar dial on a column. This took one
day from start to finish, it has longitude corrected hours as
well as Italian lines, and calendar lines as well. About
this PDF file shows the trigonometric as well as
geometric process, using CAD from TurboCAD. The
illustratingShadows.xls supports this kind of dial.
CASE STUDY ~ an open book  dial, or two gnomonless dials
back to back. The book Illustrating More Shadows has this
dial discussed in detail, along with dial plates not properly
circular,  and is available in full color on a CD together with
Illustrating Shadows, and a ton of DeltaCAD, TurboCAD, and
Excel material, available now on the
PayPal page.
CASE STUDY ~ A cube dial almost 45
degrees declining, actually 44 and 46
degrees, detailed in Illustrating More
Shadows, shows the design and testing of
all faces, and comparing a final dial plate
with a mockup dial plate.   The CD with
Illustrating More Shadows and Illustrating
Shadows, in full color, along with a tone of
extra material is available now on a CD, see
PayPal page.

These are case studies of interest. Means and
methods are discussed extensively in
and many more case studies are on the CD that
comes with the printed books, as well as when you
order the CD alone.

Many pictures of my outdoor dials, and some interesting snow on
A clay stoneware dial, south 5 degrees west declining
dial. The case study is about 500k and has pictures of
determining the wall declination using the astro
compass, magnetic compass, and azimuth method.
This case study (zip has pdf and vrml) then shows the
design using this web sites DeltaCAD macros of both
the hour lines as well as calendar curves. Italian hour
lines added for the colder months. The calendar line
transfer method is described in both Illustrating
Shadows as well as Illustrating More Shadows.
also includes the matching north facing vertical
declineing dial. as well as the .wrl file (vrml).
Phoenix AZ dial plate templates in DeltaCAD (.dc) and in Acrobat pdf
form. Latitude 33.5 longitude 112.1, in ZIP file, with some TurboCAD stuff
as well

A Persian looking sundial designed for Phoenix is here, and the notes
include the true Arabic numbering.

A ceiling dial of some 6 feet by 12 feet is shown
with details of its construction over 3 months.
Here are the notes.
A vertical dial and a horizontal dial on an L shaped
frame as opposed to a cube. And for added measure, a
polar dial. This was built as an
instructional aid for a
sundial course at WNMU. The pictures add spice, and
are of H. G. Selfridge's country estate (Highcliffe) and
his yacht (S.Y. Conqueror).
CASE STUDY ~ a garden azimuth dial with
varying gnomon center, often called an
analemmatic dial. Common in parks, useful for
a town's recreation center. Used 11 pavers of
2c12x12, and 8 bricks, some wood for the
calendar marks. This takes about one or two
hours to build and the
has the tools needed.
This file is about 140k so
easy to download, and definitely fun.

The 6am column actually has an equatorial
dial on it, see below. The 6 pm column
actually has on it an armillary dial, see below.
And the noon column actually has on it a polar
A cube dial of interest.
A Dremel tool was used for engraving the saltillo tile, the lines and letters
were scored with a normal pencil, and the tile sealed with tile sealer. The
upper tile uses true Arabic, the one to the right (S45E vdec) and lower  to
the right (S51E dec inc=20, incDec) uses Roman lettering.
A ceramic floor tile used for
vertical dial, a noon
analemma, and Italian lines
A vertical dial of a
middle eastern flavor
S 58 W and S 32 E  
cube dal, 4 plates,
and the EOT on the
column of bricks
supporting an h-dial
with Italian and
Babylonian hours,
calendar curves,
and normal
longitude adjusted
hours. Several
alternative dial
plates shown.
A 40 inch across south facing
vertical dial
Testing a dial
designed for one
location at a different
latitude and different
longitude offset
CASE STUDIES                               This list is maintained in Appendix 10

Some of these case studies are on the web site, all of them are on the CD. The files with blanks in the file name are not on
the web site, and not all case studies are on the web site either, only a select few. These are design or construction notes
with helpful hints.

ARIZONA               meridian west facing, sandstone column 45˚ offset glass,
                                                       copper s vertical, S51E vertical decliner, true north vertical,
                                                       grey column cube dial true cardinal, armillary, inclined decliner
caseStudyArabicVdial.pdf                heart shaped Saltillo dial with Persian lettering
caseStudyFloorTileVdial.pdf            floor tile as true south vertical dial
caseStudyLargeVdial.pdf                 large 40” across true south vertical dial, calendar curves
PHXvdial.pdf                                     true south middle east looking Saltillo tile dial
                                                      see also:   vDialArabianPatioOct6.pdf
phxGardenCenterDial.pdf                45 degree from cardinal, cube dial, for a garden center park
PHX polar dial.pdf                            a polar dial using Saltillo tile
PHXhdialMar21.pdf                          brick column horizontal dial, Italian, Babylonian hours also
PHXvdec10inchColumn.pdf             a ten inch square column cube dial just off cardinal points


analemmatic-garden-dial.pdf           a large analemmatic dial              S5W vertical decliner, New Mexico, clay
case-study-polar-dial.pdf                  polar dial using copper tube and copper wire
case-study-openbook-dial.pdf          an open book dial with no separate gnomons
                                                      see also:   gnomonless-armillary.pdf          
clay-dials.pdf                                    an 8 inch cube dial
cube-dial-design-HeyFarm.pdf        a 16 inch column off cardinal points cube dial
cubeLat479Lng 1219ref120.pdf      glass 8 in cube 45 off meridian
inclined-to-decline.pdf                     shallow vertical declining dial
paver-equatorial.pdf                        an equatorial dial using a circular paver
pipe-armillary.pdf                            armillary using an old sewer pipe
reflecting-dials.pdf                           large ceiling dial
s44w-s46e-cube-dial-design.pdf      off cardinal points 16 inch column dial glass plates
s96w-dial-arrow.pdf                         a vertical decliner using clay
vertical-declining-south-trigon.pdf  Italian and summer time, large home built trigon


cubeLat33.pdf                                  small indoor cube dial meridians, H and V dials
DiptychLat33Long108.pdf               small indoor diptych vertical and horizontal dial
engraved-dials.pdf                           computer engraving printer dials

UNITED KINGDOM            

ukWinshamDials.pdf                       testing a dial designed for one location at a different location
ukPiltonDials.pdf                             design for some Somerset dials


cubeLat479Lng1219ref120.pdf      a glass and copper 8 inch cube dial
neverBuiltChimneyDial.pdf            a beautiful chimney dial vertical decliner