The rhombic triacontahedron (RT) dissects into 120 such modules, left and right handed. Meanwhile, the regular tetrahedron may be sliced into four quadrants, each of which further subdivides into three pairs of left and right handed versions of the same shape, for a total of 24 modules, differently shaped from the ones above. Those of […]
Properties that C6XTY material can have. All posts with this category are presented in a slideshow on the materials-properties-slides post.
VUCA (latest curriculum writing) integrating the concept of “risk” even mentioning “Chief Risk Officer” and VUCA, in this special curriculum: https://github.com/4dsolutions/School_of_Tomorrow/blob/master/stats_works.ipynb Look for this image: At the link above for the School of Tomorrow, you will see that image, and what comes below it is intense mathematics which is why they present it as a […]
Thinking through the shapes with all of the math working precisely, enters Kirby Urner, holding a diagram of the geometry, no, wait, an animated gif pushing the power of visualization. Here we have a Cuboctahedron dual Rhombic Dodecahedron… 6-square-8 triangular-14-in-all-Cuboctahedron-dual-Rhombic-Dodecahedron-Yellow-and-Blue-respectively! This is not only for geometry buffs. There are practical applications.
Flextegrity’s innovative micro-architecture, which capitalizes on the dynamic equilibrium inherent in the complementary coexistence of tension and compression, offers material scientists, architects, structural engineers and product designers a wide range of highly desirable and unique properties: •The geometry is infinitely scalable in unit size (from nano- to mega-scale) and in frequency (number of icosahedrons in […]
Leverage of ‘microstructural’ shape factors within conventionally strong “macro-structural” forms such as the I-beam enables maximum structural efficiency.
Strength-to-weight ratio is inherently high even before material choice. Like the strongest “traditional” materials (wood, steel, and reinforced concrete), the geometry has significant strength both in tension and compression, affording greater freedom and efficiency in design and use. Failure-resistance is a natural by-product of the constituent element shape factors and discontinuous geometry, such that tears in the material are limited in length and not self-propagating. Provides adequate redundancy against failure while still maintaining high efficiency in use of material.
The omni-extensible pattern of repeating polyhedral units combined with the ability for continuous connectivity create rich opportunities for wired or wireless addressable locations throughout the matrix.
The open 3-D geometry creates a regular, stable matrices with increased internal “active” surface area, capable of being “loaded” with functional elements. These elements can include: chemical ‘beads,’ wired or wireless addressable locations, circuitry, lighting/heating elements, solar cells, seeds, phase-change materials, and barrier layers.
Response to applied stress is one of local deformation while maintaining global stiffness due to integrity of compression/tension synergy within the material. Toughness and permeability are not compromised.
Internal interconnecting matrix can be bias-positioned to create an intrinsic and interpenetrating ‘torsion box’ microstructure providing exceptional robustness to torsion and shear forces.