Nanos gigantium humeris insidentes (Dwarfs standing on the s

Built something nice? Let the other Geomag fans see what you've done.

Nanos gigantium humeris insidentes (Dwarfs standing on the s

Postby lazarosmotsanos » Sat Feb 06, 2010 2:41 pm

Πεντάγραμη Ψευδόγεωδαιτική Σφαίρα - Pentagram Pseudogeodesic sphere

Πεντάγραμη Ψευδόγεωδαιτική Σφαίρα  - Pentagram Pseudogeodesic sphere 4.JPG


Έδρες: 92 (60 ισόπλευρα τρίγωνα, 20 κανονικά εξάγωνα, 12 κανονικά πεντάγωνα)
Ακμές: 180
Κορυφές: 92

Faces: 92 (60 equilateral triangles, 20 regular hexagons, 12 regular pentagons)
Edges: 180
Vertices: 92

Geomag Elements:
Spheres: 110
Rods: 300 (180 Blue, 120 Silver)
Triangles: 60
Pentagons: 12

Bασισμένο στο έργο των (based on the work of)
Rafael Millán
http://textodigital.com/P/GG/bgeod1.php
Wolfram Research Inc.
http://mathworld.wolfram.com/SmallDodec ... edron.html

The truth is that I was trying to build the uniform polyhedron U62 small dodecahemicosahedron using pentagons, triangles and rhombus (3 for the hexagons, despair!!!) and hoping some how (?) to look like the model of Wolfram http://mathworld.wolfram.com/SmallDodec ... edron.html

Bad idea!!!

Then I change the plan and I try to build the uniform polyhedron U36 dodecadodecahedron using 3 squares in right angles among them for the hexagons between the pentagrams http://mathworld.wolfram.com/Dodecadodecahedron.html

But the opening among the triangles of the pentagrams is bigger than the edges of the hexagons!!!

Another bad idea!!!

I was standing hopeless feeling like an idiot, when I remember that the first shape I build seem familiar.

So when something in geomag feels like you saw it before the only thing you can do is to go to the maestro page and to find what you have re-invented.

The maestro has build! It !!

It was the Pseudogeodesic sphere or a variation of it!!!

Again the maestro beat me in the end!!!


Αστεροειδές Εικοσιδωδεκάεδρο - Stellated Icosidodecahedron

Αστεροειδές Εικοσιδωδεκάεδρο - Stellated Icosidodecahedron B.JPG


The stellated icosidodecahedron is a dodecahedron intersected with a icosahedron.
The dodecahedron and the icosahedron are duals.

Dodecahedron: 12 faces, 20 vertices, 30 edges
Icosahedron: 20 faces, 12 vertices, 30 edges

They also share the same polyhedra when they are truncated.

The term "stellated" means that this polyhedron can be created by extending the faces of the icosidodecahedron.

Geomag Elements:
Spheres: 74 (62 1/2 ’’ in (12.7 mm) + 12 1’’ in (25.4 mm))
Rods: 300 (120+180)

Bασισμένο στο έργο των (based on the work of)
Lazaros Motsanos (My first original yeah!!!)

And

Coolmath4kids.com
http://www.coolmath4kids.com/polyhedra/ ... edron.html

The making of stellated icosidodecahedron is very easy, first you build a Icosidodecahedron (I use the silver rods), then you put in every triangle of the Icosidodecahedron three rods and one sphere (the shape is now a Rhombic Hexecontahedron) and for the end you use ten rods and one sphere (I used a 1” sphere because there isn’t a lot of space for the rods-thank for the idea Karl!!-) in every pentagon of the Icosidodecahedron, and finish.

The inspiration for this was the work of two great master of the geomag art Karl Horton (Small stellated dodecahedron) and Peter Jepsen (Great stellated dodecahedron).

That three (Rafael Millán, Karl Horton, Peter Jepsen) is the reason I’m in love with the geomag art.


Thank you for my new love guys !!!
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lazarosmotsanos
 
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Re: Nanos gigantium humeris insidentes (Dwarfs standing on the s

Postby jgnorman » Sun Feb 21, 2010 1:08 am

Thanks for the idea. I built the sphere first then decided to set it up on a stand, and then it started looking very mosque-like... If only I had more geomag I could expand on top and really make it look awesome.

Image


Image
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Re: Nanos gigantium humeris insidentes (Dwarfs standing on the s

Postby lazarosmotsanos » Sun Feb 21, 2010 1:01 pm

It is amazing!!!

Great job!!!

If I found (maybe if I live with the dog, in his house) more space in my room this is one structure that I definitely will build!!!
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