26-Sided 16-Vertex Icosahexahedron Space Structure

Abstract

A Building Framework with 26 sides (Icosahexahedral) and 16 Vertices, known whimsically as a Silmaril. It is derived from the fusion of 2 Icosahedral Frameworks into a single framework with 3 equidistant and parallel internal planes, one plane a perfectly symmetrical 12 sided elliptical equatorial, the other 2 planes being geometrically related 6 sided inversions, resulting in useful practical applications of the Building Framework. Having 20 identical equilateral triangles, 2 sides which are isosceles triangles, another 2 sides different but geometrically related isosceles triangles, and 2 quadrilaterals again geometrically related to the previous triangles. It is geodesic in many planes resulting in great structural strength, integrity and aesthetic appearance. External alignment points allow joining multiple similar frameworks into expanded building frameworks in many dimensions. Some dimensions are of the Fibonacci Ratio. It aligns mystically in 2 dimensions perfectly with the Star Constellation Orion depicting an ancient Universal Sign of Peace.

Description

BACKGROUND OF THE INVENTION [0001] The project began as an exploration of various existing known space structures for possible use in building construction applications, along the lines of the work that Buckminster Fuller achieved in his explorations of the 3-frequency Geodesic Dome which eventually unexpectedly led to the further discovery of applications in micro and molecular structures, specifically the discovery of the Carbon-60 molecule. [0002] The project examined the feasibility of using the source structure of Fuller's work, the Icosahedron, with various permutations applied to endeavour to discovery new and novel uses of the structure, either through different mathematical transformations, or through fusion into newly synthesized structures. [0003] Research was done into the field of Geodesic Domes including Fuller's work and publications such as Domebook II and Refried Domes. In Refried Domes is revealed many, many technical problems in using multi-frequency (high curvatu...

AI Technical Summary

Benefits of technology

[0029] There is one variation of the shape where the 3 internal planes are not used resulting in a structure which is similar but less symmetrical, employing again the original 20 Icosahedron panels but interfaced by 6 identical triangles, creating a pure Icosahexahedron. In transforming the first f

Problems solved by technology

In Refried Domes is revealed many, many technical problems in using multi-frequency (high curvature) dome structures, summarized as: 1) high variety of dimensional sizes and angles requiring much increased labour.

3) sound reflection problems due to the internal curved shape.

4) moisture problems in the roof due to no adequate ventilation strategy.

5) outward facing windows suffering from rain-shipping leakage problems.

6) difficulty in interface standard vertical internal walls to multi-angle outer walls.

7) difficulty in installing insulation into many diverse gaps.

In the world there have been many informal attempts to achieve an intangible unclear goal of using micro geodesic structures in a macro implementation that historically have often failed due to not completely and systematically meeting all of the above objectives.

There are some exceptions where various Geodesic Domes have been successfully implemented at World Fairs and various museums around the World, but albeit almost always at very greatly specialized expense and effort, hence failing several of the above objectives.

The current construction code is based on an orthogonal methodology that does not readily allow a generalization of geodesic structures, keeping them highly specialized because of the inherent problem of dealing with many diverse non-orthogonal angles.

In taking a different approach to offsetting loads under the force of gravity one has to employ more complex geometric and mathematical formulas to arrive at orthogonal equivalents that are only available through very specialized, and thus uncertain, means.

However the key uncertainty had lain in the fact that standard building materials and construction techniques are almost entirely oriented to the building methodologies currently in place.

There was uncertainty in whether the Geometric Vectoring techniques needing to be employed would successfully arrive at values that match in efficient enough fractions, the standard dimensioning currently in use in the field of Building Construction.

A second uncertainty was in whether an efficient means of joining materials in non-orthogonal ways would require again, specialized joining mechanisms, defeating the purpose of the objectives, or whether a way of manipulating Geodesic Structures, perhaps through fusion, would lead to an efficient new way of joining elements with the required strength.

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