Spherical Rhombicosidodecahedron

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Project by H_Stevens posted 04-13-2018 12:46 PM 1472 views 5 times favorited 13 comments Add to Favorites Watch
Spherical Rhombicosidodecahedron
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This is a polyhedral shape, specifically a “Rhombicodisodecahedron”. It of a class of objects know as “Archimedian Shapes”, of which there are 13 differenent shapes.

This object is hollow and has a wall thickness of approx. 5/8”. It consists of 12 Pentagons, 20 Triangles and 30 squares. To make it you have to miter the pentagons at 15.8587 deg. The squares, where adjacent to the pentagons are mitered at 15.8587 deg. The Squares, where adjacent to the Triangles are mitered at 15.8587 deg. The Squares where adjacent to the Triangles are mitered at 10.4526 deg. The Triangles are mitered at 10.4526 deg.

This object starts life with flat, faceted surfaces. I put it in a lathe and spin it down into a sphere.

Anyone who might want to build one please contact me and I will be happy to share the techniques with you.

Hamp Stevens

-- Hamp, St. Simons Island, GA

13 comments so far

View Joe's profile


527 posts in 1854 days

#1 posted 04-13-2018 01:45 PM

That’s amazing, Terrific craftsmanship, belongs in a museum beautiful and unusual pieces. Thanks for inspiring

-- CurleyJoe, "You only learn from your mistakes"

View MrLaughingbrook's profile


213 posts in 2734 days

#2 posted 04-13-2018 02:23 PM

I’m intrigued. I get the need for precise shapes and wonder how to assemble. Would you describe your glue up methodology? Did you take any pictures prior to completion that might help me plan a try at this?


-- MrLaughingbrook

View John's profile


1809 posts in 2037 days

#3 posted 04-13-2018 02:58 PM

That’s impressive, accurate work!

-- John, Sunshine Coast, BC, Canada.

View H_Stevens's profile


33 posts in 812 days

#4 posted 04-13-2018 03:00 PM

These things are not that hard to build. Once you have determined the miter angles, you need to build jigs to hold the 3 different components. And you need accurate set up blocks to set your table saw. The way this is done is to draw accurately, with something like AutoCad, the angle you want and then get a CNC machine to cut out a set up block at the angle you want. Then simply lean the saw blade into to set up block until you can not see daylight. That is a close as you can get it.

Insofar as glue up and clamping goes there is not clamp know to man that will hold these pieces. I use and upholstery stapler on the joints and 1/4” staples. Once it goes in the lathe, these will be shaved away.

you can go to my web site and see others that I have made. email me at [email protected] com and I will send you picture of the jigs required.

-- Hamp, St. Simons Island, GA

View DMiller's profile


537 posts in 1240 days

#5 posted 04-13-2018 04:39 PM

Wow! I visited your site; you are truly talented!

-- Dale Miller Modesto, CA "I can do all things through Christ, which strengtheneth me." Philippians 4:13. "Woodworking minus patience equals firewood."

View Julian's profile


1579 posts in 3457 days

#6 posted 04-13-2018 05:18 PM

That is awesome. Joints look perfect.

-- Julian

View Redoak49's profile


4716 posts in 2756 days

#7 posted 04-13-2018 09:54 PM

Your work is very impressive. I would love to see a video or a blog of you making one of these.

View doubleDD's profile


9457 posts in 2810 days

#8 posted 04-14-2018 12:15 AM

That’s a beautiful accomplishment.

-- Dave, Downers Grove, Il. -------- When you run out of ideas, start building your dreams.

View Ivan's profile


15943 posts in 3634 days

#9 posted 04-14-2018 07:15 AM

Incredible work and turned out so great. I had some try effort with scraps once – just to try- it was total dissaster.

-- Ivan, Croatia, Wooddicted

View H_Stevens's profile


33 posts in 812 days

#10 posted 04-14-2018 09:18 AM

These things are truly not that hard to build. Several tricks that I have learned make it relatively easy. I will be happy to share them. There are very few people who build these object out of wood. In fact only one that I know of.

The key is a set up block(s) to set the table saw blade accurately. I cut these on a CNC router so they are accurate +/- .001. The other trick is to use a upholstery stapler to hold the components while the glue sets.

If anyone is interested let me know and I will give you the the miter angles necessary. If you don’t know someone with a CNC machine I will cut you out some set up blocks.

Feel free to call me at 912-230-7375 if you want to discuss.


-- Hamp, St. Simons Island, GA

View bushmaster's profile


3939 posts in 3050 days

#11 posted 04-14-2018 01:30 PM

I still do not believe it is easy.

-- Brian - Hazelton, British Columbia

View Grumpy's profile


26415 posts in 4618 days

#12 posted 04-15-2018 12:00 AM

Hamp , nice job and congratulations on your ‘Daily Top 3’ award.

-- Grumpy - "Always look on the bright side of life"- Monty Python

View Dutchy's profile


3711 posts in 2935 days

#13 posted 04-15-2018 01:34 PM

These are the projects that I do not dare to start. Well done Hamp.


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