Note: This documentation is preliminary and subject to change.
This document describes how to build a planetarium for use with WorldWide Telescope.
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The planetarium provides schools and other groups with a great way to visualize the panoramic view of the universe provided by WorldWide Telescope.
The planetarium described here is just under 12.5 feet in diameter, and just over 9 feet tall. So the first step is finding a suitable location for it! The materials used are not suitable for an outside location, so the location should be inside, level and dry. Alternative measurements are given for a smaller (9 feet diameter) planetarium, though all the images in this document are for the 12.5 feet model. Measurements are given in inches as this is the most used unit for packing materials and particleboard, which are the main construction materials used - 48 inch wide corrugated cardboard, and 48 inch wide particleboard paneling are both easy to come by. The Dome Specification Utility can be used if metric measurements are preferred.
One of the most interesting features of the dome is that it is tilted at an angle of 20 degrees. This makes construction a little more complex, but the design gives a much better experience. The idea is that students will feel they are traveling in a space ship towards a planet such as Saturn, which would not be the case if the view was vertical. The tilt also gives room for a reasonable pair of doors, and room for the projector and mirror, without excessive height. The cost to this though is that constructing the dome support is as involved as constructing the dome (a geodesic half-dome to be precise) itself.
Costs for materials vary, however a reasonable budget for the dome and support components is US $700.00 at 2009 prices. In addition to this a spherical mirror is required, optionally a flat secondary mirror, and a suitable projector. Tools are not included in our budgeting, as they are common household tools that many teachers and parents will own already. A laptop running WorldWide Telescope is obviously not included in the budgeting either.
Note that a number of the tasks involve the use of cutting tools and power saws, so responsible adult involvement in the project is essential.
Construction of the dome, and the dome support can largely proceed in parallel. To construct the dome support, go through the following procedure:
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The dome is a decagon - each side is 48 inches. Each inside angle is 144 degrees. The front to back diameter is 147.72 inches. The side to side diameter is 155.32 inches. |
![]() | After tilting 20 degrees the plan view of the support becomes an elliptical, rather than regular, decagon. The top edge of each panel is 48 inches, but the widths of the other panels vary - 48 inches for the rectangular panels. but 47.02 inches and 45.4 inches for the angled panels. |
![]() | The dome support profile. |
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Block A. Eight of these are needed. After cutting them out mark them
with an "A", as the angles of all blocks are very similar. The exact angles here are 72.85 and 17.15 degrees. |
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| Note the 73 degree template block has been marked and clamped to the miter saw. |
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Block B. Eight of these are needed. Mark these with a "B". The exact angles here are 71.7 and 18.3 degrees. |
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| Make a 72 degree template block to start with. Then cut out eight B blocks. |
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Block C. Only four of these are needed. Mark them with a "C". The exact angles here are 70.9 and 19.1 degrees. |
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| Make a 71 degree template block to start with. Then cut out four C blocks. |
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The door height will be more suitable for children than for adults. If a larger door is required consider adding an equal amount to the heights of all the side panels. In order to have a full size door the whole structure can be raised by making the lower side of the dome support higher than 12 inches. However, to have a 6 foot door the lower side will need to be around 36 inches, adding a further 2 feet to the height of the planetarium. Add a second door to the other side of the dome support - to provide both an "In" and an "Out", and a fire escape. |
![]() ![]() | Note the 2 x 2 inch wood used to
strengthen both the side of the door frame containing the hinges,
and across the bottom of the door opening. Use scraps of wood to strengthen
the hinges on the door itself. For a rectangular door, consider using a powered circular saw to cut out most of the door, but use a hand saw to finish off the cuts. For the rounded door shown in the picture, use a hand held jigsaw to cut out the shape, after carefully drawing the arc on the panel. The rectangular door shown in some of the images is quite short - due to height restrictions in the assembly area for the prototype - which is the reason why the rounded door was made as an improvement to make a little more headroom. |
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Note the positions of the A, B and C blocks, and that there are two of
them per joint. A plan view of the dome support shows it to be an elliptical decagon. |
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The first block. Use an A block to connect the shortest rectangular
panel with the shortest angled panel. Next add the second block to this joint. Then add the matching shortest angled panel to the other side. |
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The progression. Moving left and right assemble the dome support
panels from the shortest towards the tallest panel. Unevenness in the floor might cause some minor alignment issues. If this is the final location of the dome, then ensure that it is as stable as it can be. Minor mismatches in the heights of the panels is dealt with when screwing in the ledges. |
![]() | Note the positions of the top joint blocks a few inches below the rim. |
![]() | A small extractor fan will be added to the dome support at a later stage, to provide some airflow. |
![]() | Make sure to paint around all the blocks, the door supports, and the top of the ledges. Also paint the insides of the vent holes, and the edges of the doors. Try to paint to the bottom of each panel without painting too much of the floor! Use plastic tarps, or similar, to protect the flooring if necessary. |
To construct a dome support using 36 inch, rather than 48 inch, sides, use the following table of measurements for the panel sizes. This will create a dome support for a dome that is just over 9 feet in diameter. The dome support will have a side to side diameter of 116.5 inches (about 9.5 feet) and a front to back diameter of 104.1 inches. Obviously use 36 inch long ledge sections, but the blocks that fit the dome support together have exactly the same angles as for the 48 inch sided dome support. Note that the door for entry will now be quite short, so consider adding 12 inches to the height of all the panels, if your location has the headroom!
Number |
Sizes |
| 1 | 36 inch x 12 inch rectangle. |
| 2 | 35 1/4 inch base, one side 12 inches, other side is 19 1/4 inches. |
| 2 | 34 inch base, one side is 19 1/4 inches, other side is 30 15/16 inches. |
| 2 | 34 inch base, one side is 30 15/16 inches, other side is 42 11/16 inches. |
| 2 | 35.26 inch base, one side is 42 11/16 inches, other side is 49 7/8 inches. |
| 1 | 36 inch x 49 7/8 inch rectangle. |
Click on the link below to run a utility program that will calculate the triangle and panel sizes required, given three inputs:
Note that the utility requires scripts to be run, so if you get a security warning, be sure to Allow Blocked Content. Note also that angles do not change with the size of the dome.
Dome Specification utility |
To construct the dome, go through the following procedure:
![]() Use the full width of the 48 inch sheets. To draw the triangle you can use a sharp point with a string 48 inches long, and draw two arcs. Where the arcs intersect is the tip of the triangle. Alternatively calculate the height of the triangle (41.57 inches) - measure this along both edges of the cardboard, then draw a line from one side to the other, and mark the center - 24 inches along the line. After cutting out the template, 10 triangles of type A are needed. Note that the triangle is 48 inches on all sides, and that the flaps are in addition to this. This is possible on a sheet of cardboard only 48 inches wide by having the tapered flaps shown at the corners. |
![]() After cutting out the template, 30 triangles of type B are needed. This will require 30 48 x 48 inch sheets, or 10 48 x 96 inch sheets, as three triangles can be cut from the larger sheet. 13/16ths is a good approximation for .82 inch. The height of the triangle is 34.25 inches. Note that the triangle is 48 inches on one side, and 41.82 on the other two sides, and that the flaps are in addition to this. |
![]() | Painting is fun - though is usually done on a flat level surface! |
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A paper folding machine is the best approach to getting very straight folds. If such a folding machine is not available, try other long straight edges such as a metal ruler. |
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First mark a sheet of black paper where it needs to be cut and folded. Then fold the sheet twice to create the quarter inch square end. Then cut out the strip. Repeat until every edge has two shades. The image shows a quarter inch fold for the triangles, and a one inch fold for the base. |
A pentagon with shades attached. |
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The outside edges of the pentagon should all be the longer 48 inch
sides. The 30 triangle Bs should be assembled into six pentagons. |
![]() Note that the central polygon is the very last piece to be assembled. The dome will be quite floppy until this is done, and a lot of hands are helpful at this stage. |
![]() When building the dome try to align the points and edges as accurately as possible before proceeding to the next. |
![]() The critical stage in assembly is having enough hands inside the dome to complete all but the top pentagon. Because of the difficulty in clipping in the top pentagon, consider having someone stand on a stepping stool and held in place by a second person, whilst the first leans over the dome and clips in the five last sides. The people on the inside need to support both the last top pentagon, and all the sides - at the same time. Only when the last top pentagon is clipped into place does the dome become self-supporting. |
![]() The height of the dome when it is on the floor and before it is tilted is just under 6.5 feet. After the 20 degree tilt the height is about 6 feet. Add to this the height of the center of the dome support (just over 3 feet), and the height of the planetarium is a few inches over 9 feet. |
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To construct a dome to fit the 36 inch side dome support, triangle A should be an equilateral triangle with 36 inch sides. Triangle B should be an isosceles triangle with a 36 inch base and two sides of 31 3/8 inches.
The height of a planetarium of this size is around 7 feet. The following images shows the relative sizes of the domes.
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| 48 inch triangle planetarium | 36 inch triangle planetarium | |
Adding ventilation to the planetarium will make the experience more pleasant for most people. Electric power will be needed to power the external fan, and also obviously to power the internal projector.
| Pics of fan and box |
The cable in this image has been left red to show its course. Covering the cable with black tape for the inside section ensures minimal reflectivity. |
Ideally the viewers inside the planetarium will be seated entirely below the base line of the dome - this is to ensure that no part of them blocks the reflection from the mirror onto the dome surface. In practice this may be difficult to achieve, especially if height was an issue during construction. The suggested layout is to lay black carpet tiles across most of the floor of the planetarium, with perhaps a few seats set at the back near the projector. Shorter viewers sit at the front and middle of the planetarium, on the carpet, taller viewers can use the seats at the back. The exact layout depends on the number of viewers you plan to accommodate at any one time - all carpeting and no seats, or all seats and no carpeting, are obviously options too.
![]() The seats, similar to all items under the dome, should be as matt black as possible. |
![]() Experimenting with different sizes of spherical mirror. The smaller, approximately 9 inch radius, worked well in our tests. |
![]() A DVI cable. |
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![]() Primary projection. |
![]() Even though a music stand is designed to hold just paper, a sturdy one can easily support and hold a projector at an angle. |
![]() Secondary projection. |
![]() To use the secondary mirror method of projection, first install a shelving system that enables a variation in the height of the projector. The shelf itself should be about 24 inches wide and 13 inches deep - though this does obviously depend on the size of the projector you intend to use. |
![]() Place the projector on the shelf so that the lens is centered - which is why the shelf should be 24 inches wide, and not simply the width of a projector. The secondary mirror should be aligned at the top of the music stand. Heavy duty Velcro (or similar) can be used to attach the mirror. The fine alignment of the three main elements (projector, secondary mirror, spherical mirror) will involve some minor adjustments to the angles of each to get a complete image projected onto the dome. Note how close the secondary mirror is to the projector. Just enough room is needed so that the reflected image clears the projector itself and finds the spherical mirror. This system frees up the center of the dome quite well. |
Most mirrors reflect light from two surfaces, the inside and outside faces of the glass or plastic. Unfortunately this means that there will be two images in view on the dome for each single object in the simulated sky - the intended image and a second fainter image slightly offset from the first. This problem is doubled if a secondary mirror also with two reflective surfaces is used - in this case there will now be four images on the dome, the intended one and three fainter ghost images. This problem can be eliminated with the use of high quality first surface mirrors. These mirrors, both flat and spherical, have only one reflective surface, so even when a secondary mirror is used no unwanted ghost images appear on the dome. Of course the issue here is cost, first surface mirrors are a few times more expensive than normal mirrors.
The use of first surface mirrors is recommended if your budget allows!
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For most modern projectors the aspect ratio is 16:9, so set the Dome
Type to Mirrordome 16:9. If you are using an older VGA projector,
then the aspect ratio may well be 4:3, so set this value to Mirrordome 4:3. Refer to the Configuration section of the
WorldWide Telescope User Guide for details if your projector is neither of these. Set Dome Tilt to 70 percent. This value contains the center of interest in vertical degrees. For high resolution projectors (1920 x 1080 or similar) select Large Textures, otherwise leave this unselected. Click OK. |
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