GMTRCPLY - GeoMeTRiCPLaY

GMTRCPLY - GeoMeTRiCPLaY

GeoBender Large Builds (16-32 Units)

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Tip-Toe Pavilion
Tip-Toe Pavilion 

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.


Rhombic Dodecahedron, Exploded View
Rhombic Dodecahedron, Exploded View 

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.


Rhombic Torus
Rhombic Torus 

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.


Twirlated Rhombic Dodecahedron
Twirlated Rhombic Dodecahedron 

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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Hans-Jürgen Reggel   ·   http://www.hjreggel.net/gmtrcply/   ·   Imprint   ·   2023-10-08 ~ 2023-10-08