Orion Research Institute for Metaphysics

Letter size
  • S
  • M
  • L
  • Site map
  • Personal information protection
Orion Research Institute for Metaphysics > Geometry based on Silver Ratio and Golden Ratio > Sacred Geometry: Formulation of Rhombic Polyhedron with 132 Faces (Rhombhectotriadiohedron)
Geometry based on Silver Ratio and Golden Ratio

Sacred Geometry: Formulation of Rhombic Polyhedron with 132 Faces (Rhombhectotriadiohedron)

Figure 1 Rhombhectotriadio-hedron (T-type)

As mentioned in the body text, the rhombhectotriadiohedron (i.e. rhombic polyhedron with 132 faces) is of two types (T and C) and each one is composed of three kinds of rhombus.  Please Refer to Figure 1 and Figure 2.  My current task is to calculate the angles of these rhombuses by myself.

Mr. Yasunari Watanabe who is an excellent researcher on crystallography is well-versed in this geometric field.  His paper “Derivation of Some Equilateral Zonohedra and

Figure 2 Rhombhectotriadio-hedron (C-type)

Star Zonohedra” is considered to be highly instrumental in figuring out these angles.  It describes the way to build the equilateral-zonogon, star-zonogon, equilateral zonohedra and star zonohedra.  First of all, basic plane figures or solids to be used for such formulation are specifically selected.  While the basic plane figures or solids to be used vary depending on the equilateral-zonogon, star-zonogon, equilateral zonohedra and star zonohedra to be built, they are either regular polygon (2D), regular polyhedra, quasi-regular polyhedra, or compound of regular polyhedra and quasi-regular polyhedra (3D).  Then, base vectors are successively drawn from their center to their respective vertices.

The basic solid to be used to build the rhombhectotriadiohedron of T-type are either the truncated tetrahedron or the small rhombicuboctahedron.  On the other hand, the one for the C-type is the truncated cube.  In case of the truncated tetrahedron, a whole solid is to be used.  In case of the small rhombicuboctahedron and the  truncated cube, one half of solid is to be used.  Please refer to Figure 3.  The number of base vectors in these cases is 12, which is common to T-type and C-type.

Figure 3 Formulation of rhombhectotriadiohedron

Mr. Watanabe kindly provided me with the following additional advices.

The rhombohedra or equilateral hexahedra can be created from three base vectors selected.  The quantity of these rhombohedra or equilateral hexahedra thus created is equal to the number of combinations selecting 3 from 12.  They include duplications and, therefore, we select only those independent from each other.  Then, we make their paper models and put them together successively in accordance with the configuration of base vectors.

The foregoing is understood to be a method to formulate the rhombhectotriadiohedron (T-type and C-type).  If such formulation is successful, the angle of rhombuses in question will be easily calculated.  This is my current homework yet to be done.  If it is successfully conducted, a result of it will be uploaded shortly thereafter.


Mathematical paper “Derivation of Some Equilateral Zonohedra and Star Zonohedra”,  Y. Watanabe and T. Betsumiya, Research of Pattern Formation

101 responses to “Sacred Geometry: Formulation of Rhombic Polyhedron with 132 Faces (Rhombhectotriadiohedron)”

  1. Definitely believe that which you stated. Your favorite justification seemed to be on the internet the simplest thing to be aware of. I say to you, I certainly get annoyed while people think about worries that they just don’t know about. You managed to hit the nail upon the top as well as defined out the whole thing without having side effect , people can take a signal. Will probably be back to get more. Thanks

  2. This post Orion Research Institute for Metaphysics » Blog Archive » Sacred Geometry: Formulation of Rhombic Polyhedron with 132 Faces (Rhombhectotriadiohedron) was a good read so I Tweeted it to hopefully give you more readers. thanks.

  3. After looking at a handful of the blog posts on your web page, I honestly like your way of writing a blog. I saved as a favorite it to my bookmark site list and will be checking back in the near future. Please visit my website as well and let me know how you feel.

  4. gw2 says:

    I didnt seek this, but I enjoyed this, found it interesting! Keep up the awesome work!

  5. I agree with you but It would be nice if you cite your sources next time. I think it’s really important. TY.

  6. I would like to thank you for the efforts you’ve put in penning this site. I’m hoping to check out the same high-grade content by you in the future as well. In fact, your creative writing abilities has encouraged me to get my own blog now 😉

  7. high quality wedding dress, Interested in the contents of your content is very lovable’s a I Purchase of high quality wedding, your content, I really like post.

  8. Johana says:

    thanks for the insights your post gave me 🙂

  9. Thanks for taking this opportunity to mention this, I’m strongly about it and I benefit from garden greenhouse structures this subject. When possible, when you gain data, please update this website with new information. I have found it extremely useful.

    • Hiro Kimpara says:

      Thank you for your positive comment. I am in the process of making a model of the rhombic polyhedron with 132 faces. If it is successfully done, I will upload a new article on it.

  10. Hey There. I discovered your weblog using msn. That is a very smartly written article. I’ll be sure to bookmark it and come back to learn extra of your useful info. Thank you for the post. I’ll certainly comeback.

  11. I love reading an article that will make people think. Also, many thanks for allowing for me to comment!

  12. Dj Petrecere says:

    Have a beautiful day. Enjoy the summer and express your love. DJ Nunta

  13. I was extremely pleased to uncover this great site. I need to to thank you for your time due to this wonderful read!! I definitely appreciated every bit of it and i also have you book-marked to look at new things on your site.

  14. Great article. I’m experiencing many of these issues as well..

  15. Sung Fulling says:

    very good submit, i actually love this website, carry on it

  16. I enjoy reading write-up. Hope i can discover a lot more articles like this one. Thanks for posting.

  17. Howdy very nice website!! Man .. Beautiful .. Superb .. I will bookmark your web site and take the feeds also¡KI’m happy to seek out so many useful info here in the publish, we need develop more techniques in this regard, thanks for sharing. . . . . .

  18. Homepage says:

    I believe other website owners should take this website as an model, very clean and great user pleasant pattern . 626652

  19. Thank you for sharing superb informations. Your web-site is so cool. I’m impressed by the details that you¡¦ve on this web site. It reveals how nicely you understand this subject. Bookmarked this web page, will come back for extra articles. You, my friend, ROCK! I found just the info I already searched everywhere and simply couldn’t come across. What a perfect web-site.

    • Hiro Kimpara says:

      Thank you for your favorite comments. Concerning the rhombic polyhedron with 132 faces, I will certainly provide further information as soon as I have succeeded in making its paper model.

  20. I definitely wanted to make a quick remark so as to appreciate you for those amazing hints you are sharing here. My rather long internet investigation has now been honored with awesome content to share with my great friends. I ‘d state that that most of us site visitors are quite endowed to live in a really good website with very many brilliant people with good opinions. I feel somewhat privileged to have seen your entire web pages and look forward to many more thrilling moments reading here. Thanks a lot once again for everything.

    • Hiro Kimpara says:

      Many thanks for your encouraging comments. It really is my pleasure to know that my website is of some value to you. I will continue providing good-quality information.

  21. supra shoes says:

    I think you have noted some very interesting details , thankyou for the post.

  22. It’s best to participate in a contest for among the best blogs on the web. I will suggest this website!

  23. ici says:

    Hello! Thank you for this post but are you really sure about what you’re saying? Do you have more sources for us? thank you

  24. Amber Gold says:

    Can I use information from this site to your blog? They are very useful.

  25. skytop shoes says:

    Hiya. Very cool website!! Man .. Excellent .. Amazing .. I will bookmark your website and take the feeds also…I am satisfied to find so much helpful information here in the post. Thank you for sharing..

  26. When I discovered your website I got therefore pleased, its the rainforest available on the internet and there are 99 % bad websites without any content as well as relevant info, however, you go the other method and provide all of us reading in right here knowledge about a lot of nutrients!

    • Hiro Kimpara says:

      Thank you for your favorable comments. I am pleased to know that my website is of some value to you. I will continue providing good-quality information.

  27. cheers for taking the time to discuss this, I feel strongly about it and really like learning much more on this topic. If possible, as you gain expertise, could you mind updating your blog with much more details? as it is incredibly valuable for me.

    • Hiro Kimpara says:

      Thank you for your encouraging comment. I am uploading a new article on the sacred geometry shortly. If you have keen interest in some specific subject, please let me know. I will see if I can provide more details on it.

  28. Most of whatever you claim happens to be supprisingly accurate and that makes me ponder the reason why I hadn’t looked at this in this light before. Your piece truly did turn the light on for me as far as this specific topic goes.

    • Hiro Kimpara says:

      Again, thank you for your comments. I will be uploading a new article on the sacred geometry soon. Please visit it when you have time.

  29. I really like this weblog, fantastic content material and I am going to bookmark this web site for future updates.

  30. I love your blog.. very nice colors & theme. Did you make this website yourself or did you hire someone to do it for you? Plz answer back as I’m looking to create my own blog and would like to find out where u got this from. many thanks

    • Hiro Kimpara says:

      Thank you for your admiration. No, I did not make my website by myself. It was designed by professional people in Japan in compliance with my requirements.

  31. Hiro Kimpara says:

    In reply to your comment, I will say that the information on the sacred geometry is provided to everybody from beginners to experts who are interested in this subject.

  32. tutu skirts says:

    Throughout this great design of things you secure an A just for effort and hard work. For the moment I will, no doubt yield to your position.

  33. I just want to tell you that I am just very new to blogging and site-building and absolutely liked you’re web site. More than likely I’m likely to bookmark your blog post . You absolutely come with superb article content. Thanks a bunch for sharing with us your web-site.

  34. Hmm is anyone else encountering problems with the pictures on this blog loading? I’m trying to find out if its a problem on my end or if it’s the blog. Any suggestions would be greatly appreciated.

  35. Howdy! This is kind of off topic but I need some guidance from an established blog. Is it tough to set up your own blog? I’m not very techincal but I can figure things out pretty quick. I’m thinking about creating my own but I’m not sure where to start. Do you have any points or suggestions? With thanks

    • Hiro Kimpara says:

      I am just an amateur in creating a website, so I utilized services from an established professional IT company in Japan. I suggest that you do the same.

  36. Just wanted to drop you a quick line to say how much I enjoyed reading Orion Research Institute for Metaphysics » Blog Archive » Sacred Geometry: Formulation of Rhombic Polyhedron with 132 Faces (Rhombhectotriadiohedron) , I will certainly pop back again shortly.

  37. I simply want to tell you that I am just new to blogs and seriously enjoyed you’re page. Likely I’m planning to bookmark your blog post . You amazingly have terrific article content. Kudos for sharing with us your web-site.

  38. Thanks for your post! Are you really sure about what you say? I read something different on an other blog! I’ll share the link. bye!!

  39. In this grand design of things you’ll receive an A just for effort. For right now I will yield to your issue.

  40. Discover Even more Here

  41. Thank you, I have recently been hunting for information about this subject matter for ages and yours is the best I have discovered so far.

  42. Wilber Rian says:

    Hello there, just became aware of your blog through Google, and found that it’s truly informative. I am gonna watch out for brussels. I will appreciate if you continue this in future. Numerous people will be benefited from your writing. Cheers!

  43. Just discovered this site through Bing, what a way to brighten up my day!

  44. Have you given any thought at all with converting your current blog in to French? I know a several of translaters right here that will would certainly help you do it for free if you wanna get in touch with me personally.

    • Hiro Kimpara says:

      Thank you for your comment and question. As you know, my website is currently in 3 different languages, i.e. English, Japanese, and Spanish, though the Spanish contents are virtually limited to the front page and the “Silver Compass for the Earth Changes” page at present. I am in the process of preparing its Hindi version and Chinese version. They will be uploaded in the near future. I did not consider the possibility of adding its French version just because of cost. If I can do it without any cost impact, I really want to do so.

  45. Thanks for your personal marvelous posting! I actually enjoyed reading it, you are a great author.I will remember to bookmark your blog and definitely will come back someday. I want to encourage you continue your great posts, have a nice evening!

  46. I simply couldn’t depart your website before suggesting that I extremely loved the standard information an individual supply in your visitors? Is going to be back ceaselessly in order to check out new posts

  47. image says:

    An cool blog post there mate ! Thanks for the post !

  48. Oh man. This blog site is cool. How can I make it look like this !

  49. stretch film says:

    I am impressed with this website , rattling I am a big fan .

  50. Nice post ! Thanks for, commenting on this blog page man. Ill message you again. I did not realise that!

  51. This design is steller! You obviously know how to keep a reader amused. Between your wit and your videos, I was almost moved to start my own blog (well, almost…HaHa!) Excellent job. I really loved what you had to say, and more than that, how you presented it. Too cool!

  52. This website has some really useful information on it! Thanks for informing me!

  53. liz says:

    super site !

  54. Monique says:

    I don’t even know the way I ended up right here, however I thought this publish was good. I don’t understand who you are however definitely you’re going to a well-known blogger should you aren’t already.

  55. Whoa! Тhis blog looks exactly like my old one!

    It’s on a entirely different topic but it has pretty much the same page layout and design. Excellent choice of colors!

  56. I pay a quick visit daily some blogs and websites to read content,
    however this blog provides feature based writing.

  57. Hi there, just became aware of your blog through Google, and
    found that it’s truly informative. I am gonna watch out for brussels.
    I’ll appreciate if you continue this in future. Lots of people will be benefited from your
    writing. Cheers!

    • Hiro Kimpara says:

      Thank you for your comment. Unfortunately, I have been unable to update my website for some time as I had to spend almost all of my available time for my mathematical study. Fortunately, I was able to complete its first stage, making it possible for me to make an update of my website. Of course, I will continue providing the latest useful information in it.

  58. I every time spent my half an hour to read this blog’s posts all the time along with
    a mug of coffee.

    My web page compagnie de déménagement

  59. Sweet blog! I found it while browsing on Yahoo News. Do you have any tips on how to get listed in Yahoo News? I’ve been trying for a while but I never seem to get there! Appreciate it
    air jordan xi uk http://www.christinahoelscher.com/?shop=air-jordan-xi-uk&id=7145

    • Hiro Kimpara says:

      Thank you for your comment. No, I don’t have such tips. If I find any effective way to make it happen, I will employ it right away.

  60. Excellent post however I was wanting to know if you could write a litte more on this topic? I’d be very thankful if you could elaborate a little bit further. Thank you!
    air jordan 11 low pink snakeskin http://www.andersonarquitectos.com/?shop=air-jordan-11-low-pink-snakeskin&id=6980

    • Hiro Kimpara says:

      Thank you for your comment. Concerning the rhombic polyhedron with 132 faces, a good progress has been made in my study. I will upload a new article on it in the near future. It will probably be sometime early in 2015. I am in the final stage of preparing a mathematical paper regarding the mutually complementary relationship between the golden ratio and the silver ratio. It is to be contributed to a leading U.S. mathematical journal. When it is successfully placed in it, I will also upload it in my website.

Leave a Reply

Your email address will not be published. Required fields are marked *