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| Tip-Toe Pavilion | |
16 GeoBender "Nautilus"
This structure cannot be built with ShaShiBo, because of the different magnetic layout.
The structure rests on three tips, like the one you see at the bottom front between the two "Fire" designs. However, it can still be built "Free Solo", which means that a single person without temporary support structures can build it.
The base structure is a large UFO made from UFO + Ring in the center, and three UFOs around. The roof strucutre is a Solid Hive, i.e. a Hive combined with a UFO.
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| Rhombic Dodecahedron, Exploded View | |
16 GeoBender Nautilus, only two different shapes used. The silhouette is defined by eight UFO shapes. It's sort of an exploded view of a Double-Size Sphere.
This will also work with ShaShiBo.
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| Yell-ow! - Playing with the colors of the two Primary designs | |
16 GeoBender "Primary", playing with the color schemes of the "Primary-I" and "Primary-II" designs.
The overall shape is a classic tetrahedral build of a 4-units combo. The 4-units combo is also a classic arrangement: Three same shapes held together by a different shape.
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| Rhombic Torus | |
This is a Rhombic Torus made from 16 Units.
Top Half: 8 GeoBender Primary-II Bottom Half: 8 GeoBender Primary-I
I discovered the Rhombic Torus while building the Large Rhombic Pyramid. But actually, the existance should be obvious.
Where there's an Octahedron, there's a Torus. The GeoBender Octahedron is not a regular octahedron. The dissection into one torus and two small octahedrons can be done between any opposite vertices. The Square Torus lies between the two obtuse vertices, the Rhombic Torus lies between the two pairs of acute vertices.
The Rhombic Torus can also be built with ShaShiBo.
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| Twirlated Rhombic Dodecahedron | |
24 GeoBender Primary; 12 Primary-I + 12 Primary-II.
The structure can either be seen as a Rhombic Dodecahedron with some extra pieces on top of each face, or a Stellated Rhombic Dodecahedron with incomplete pyramids on the faces.
The calculation: A solid double-size Rhombic Dodecahedron requires 16 Units. With 24 Units used, that's 8 elements on top of each face. Compared to a Solid Stellated Rhombic Dodecahedron of 32 Units, that's 8 elements missing on each face.
Just like the Rhombic Dodecahedron itself, the structure has three different main views. Because of the asymetrical add-ons, it offers more different detail views.
Important Note: "Twirlated" is not a Geometrical term.
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| Enneahedron | |
18 GeoBender Primary-I.
This is an Enneahedron or Nonahedron, a solid with nine faces. What's so exceptional about this one is the fact that it has only two different faces: Six identical Scalene Trapezoids and three identical Parallelograms. There are two opposing triplets of Trapezoids, surrounded and connected by three Parallelograms.
The solid shown here can be derived from a Rhombic Dodecahedron by simply adding three face pyramids to appropriate faces. If look at a Rombic Dodacahedron where three rhombic faces meet, there are six rhombic faces around, and three opposite. The face pyramids have to be added at every other of the six faces around, then you get the Enneahedron.
This Enneahedron is Chrial, there is also a mirrored version. The mirror version can be created by adding the face pyramids to the other three faces around.
The total volume would be equal to 20 units. This build has some empty space equal to 2 units hidden inside.
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| Six-Pointed Star | |
24 GeoBender Primary-II.
This Six-Pointed Star can be seen as a Fusion of a "Left" and a "Right" version of the Enneahedron above.
If you look at a Rhombic Dodecahedron at a vertex where three faces meet, there is a belt of six rhombic faces around. If you put a pyramid on each of these faces, you get this Six-Ponted Star.