Can Anybody Help Me Make A Moravian Star Please?
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Can Anybody Help Me Make A Moravian Star Please?
Hi, would love a hand with this one and perhaps a base to glue to might help as well. Thanks. (Moved better photo here, was trying to create more space in forum).
Last edited by pollyhendra on Sat Aug 31, 2013 6:46 am, edited 2 times in total.
I estimate around 48 points, by: counting all the points in its outline, adding all the visible points within its outline, then assuming that the same number are hidden round the back.
So it might well be the 50-point Moravian star - for hints on its construction, see for example http://en.wikipedia.org/wiki/Moravian_s ... s_of_Stars
First step is to truncate a great rhombicuboctahedron to create a 50-sided "core" solid. Can Stella do that easily?
Next step is to stellate the core.
So it might well be the 50-point Moravian star - for hints on its construction, see for example http://en.wikipedia.org/wiki/Moravian_s ... s_of_Stars
First step is to truncate a great rhombicuboctahedron to create a 50-sided "core" solid. Can Stella do that easily?
Next step is to stellate the core.
Cheers,
Guy. Guy's polyhedra pages
Guy. Guy's polyhedra pages
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Better photos
Last edited by pollyhendra on Sat Aug 31, 2013 6:38 am, edited 1 time in total.
- robertw
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The one described on wiki truncates the RCO leaving octagons and hexagons. This model doesn't appear to have 8- or 6-sided peaks. But you could instead truncate all the way back to the edges' midpoints. One way to do that in Stella is to add the RCO to its dual and then take the convex core. Actually this seems to produce something very close to the original photo. See below.guy wrote:First step is to truncate a great rhombicuboctahedron to create a 50-sided "core" solid. Can Stella do that easily?
You mean augment the core? I notice the wiki page makes the same mistake, referring to one start as a "great stellated" RCO, but it's faces do not lie in the RCO's facial planes, so it's not a stellation. Maybe I'll fix that and see who notices.Next step is to stellate the core.
For my model below, I set the radius of the RCO to 1, then augmented each face type in turn with pyramids, with "Pyramid height" set to "Height = 1" and a scale of 3 for the squares, and 2 for the other faces. Tweak those scales for different results.
I'm not aware of any rules about how pointy Moravian stars should be, ie the height of the points. Being used as decorations I imagine there's not too many guidelines.
These are photos of a different model, with only 26 points rather than 50. To make these ones, skip the truncation step. Just augment the faces of an RCO directly. See below. This time I used what is probably a more likely method: set the original edge length of the RCO to 1, and augment with pyramids with "New Edge Lengths = 1" and a scale of 4 for the squares and 3 for the triangles.pollyhendra wrote:Sorry about photos. Hope these help.
Yes, you are right.
I think "rectify" may be the operation of blending the polyhedron with its dual, I can't remember if that is the right word. It certainly gives a more accurate model (and nicer) than truncation.
And yes it is augmentation not stellation. There might well be a convex core that can be stellated to give the correct result, but it will be a different polyhedron and not suitable as the model core.
I think "rectify" may be the operation of blending the polyhedron with its dual, I can't remember if that is the right word. It certainly gives a more accurate model (and nicer) than truncation.
And yes it is augmentation not stellation. There might well be a convex core that can be stellated to give the correct result, but it will be a different polyhedron and not suitable as the model core.
Cheers,
Guy. Guy's polyhedra pages
Guy. Guy's polyhedra pages
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- robertw
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Try following these steps:
- Probably want to close the net view while creating the model, so hit Ctrl+1 to get just one view (the base model view).
- Load a rhombicuboctahedron (File->Polyhedron List, type "RCO", hit Enter).
- Poly->Add Base Model and Dual
- Poly->Create Convex Core
- Probably want to do "Scale->Base Polyhedron Radius" to set the current size to something known, eg "1".
- Select the face you want to augment first (Shift+Left-click on it, or double-left-click).
- Hit "a" to augment (or "Poly->Augment Polyhedron" from the menu).
- A dialog appears. Choose the following options:
- Select "Pyramid" if not already selected.
- From the "Pyramid Height" drop-down, choose "Height = 1".
- Set "Scale" to whatever height you want the pyramid peak, eg 3 or 2.
- Hit Enter (or click "OK"). A preview of the augmentation appears. Hit Enter again to accept it. Or hit "a" again to adjust the pyramid height etc if not as expected.
- Select another face and augment again until all faces have been augmented.
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Congratulations.
When can we see the 50-arm star with interior lighting?
When can we see the 50-arm star with interior lighting?
Cheers,
Guy. Guy's polyhedra pages
Guy. Guy's polyhedra pages
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You load the Rhombicuboctahedron and click on the fifth icon from the right in
the last row (onmouseover you see "Morph Duals by Expansion"). Then you
keep the ctrl-button pressed, click the left mouse button and pull the mouse to
the right. Rectangles appear between the base model's faces and in the top
left edge of the window you see the degree of morphing. You stop the mouse
movement when it is at 20 %. To save this stadium you hit "m" and "1". To get
it back you hit "m" while the shift-button is pressed and click on memory 1.
Then you activate the base polyhedron view again and do the augmentation as
you did in your former model.
u.
the last row (onmouseover you see "Morph Duals by Expansion"). Then you
keep the ctrl-button pressed, click the left mouse button and pull the mouse to
the right. Rectangles appear between the base model's faces and in the top
left edge of the window you see the degree of morphing. You stop the mouse
movement when it is at 20 %. To save this stadium you hit "m" and "1". To get
it back you hit "m" while the shift-button is pressed and click on memory 1.
Then you activate the base polyhedron view again and do the augmentation as
you did in your former model.
u.