Polytopes in all dimensional loop quantum gravity

The Lasserre’s reconstruction algorithm is extended to the D-polytopes with the construction of their shape space. Thus, the areas of d-skeletons $$(1\le d\le D)$$ ( 1 ≤ d ≤ D ) can be expressed as functions of the areas and normal bi-vectors of the (D-1)-faces of D-polytopes. As weak solutions of the simplicity constraints in all dimensional loop quantum gravity, the simple coherent intertwiners are employed to describe semiclassical D-polytopes. New general geometric operators based on D-polytopes are proposed by using the Lasserre’s reconstruction algorithm and the coherent intertwiners. Such kind of geometric operators have expected semiclassical property by the definition. The consistent semiclassical limit with respect to the semiclassical D-polytopes can be obtained for the usual D-volume operator in all dimensional loop quantum gravity by fixing its undetermined regularization factor case by case.

Molecular Recognition and Shape Studies of 3- and 4-Substituted Diarylamide Quasiracemates

Families of quasiracemic materials constructed from 3- and 4-substituted chiral diarylamide molecular frameworks were prepared, where the imposed functional group differences systematically varied from H to CF3–9 unique components for each isomeric framework. Cocrystallization from the melt via hot stage thermomicroscopy using all possible racemic and quasiracemic combinations probed the structural boundaries of quasiracemate formation. The crystal structures and lattice energies (differential scanning calorimetry and lattice energy calculations) for many of these systems showed that quasienantiomeric components organize with near inversion symmetry and lattice energetics closely resembling those found in the racemic counterparts. This study also compared the shape space of pairs of quasienantiomers using an in silico alignment-based method to approximate the differences in molecular shape and provide a diagnostic tool for quasiracemate prediction. Comparing these results to our recent report on related 2-substituted diarylamide quasiracemates shows that functional group position can have a marked effect on quasiracemic behavior and provide critical insight to a more complete shape space, essential for defining molecular recognition processes.

A Presence of Ariā - Within the Indigenous corporate body

<p>“Without consciously looking at them, we breath in our surroundings with all our senses.” - Christopher Day Te Aō Māori revolves around a holistic world view and similarly, this paper too begins there. There is this opportunity here to understand that there is more to a space than just architectural form, especially an interior. These spaces encapsulate an atmosphere that is created by people, expressed through art; both visual and haptic. Theoretical views that share this perspective all seem to converge at a point that describes these spaces through a more embodied outlook. A stronger appreciation is placed on the abilities of our suppressed bodily senses and the strength of presence in creating a spatial identity that places itself among our bodies memory. Interior capacities that are full of atmosphere are like creative expressive mediums of simple translation between mind and body. Māori people convey this innate ability to shape space in a way that touches the skin with a presence and engraves a footprint memory in the mind. Embodiment is something recognized in Māoridom through this understanding of Te Aō Māori however it is missing from the interior spaces which Māori organizations are currently inhabiting in the corporate realm. This culture proudly structures itself around holistic values within a unique world of symbolism (Marsden, 1992, p12) and while being intricately informed by a cultural lense, this perspective isn’t conveyed within western dominated corporate building facilities (see appendix 01). Māori organizations are now finding themselves climbing higher within an economic domain that is prevalent to Western corporations (Berl). This is creating a scenario where cultural symbolism and values, all that contributes to this cultural identity seems compromised. (Marsden, 2003, p24-25) One of the higher three indigenous entrepreneurial persons in the world, (Himona) Māori people are quietly succeeding with credit to culturally embedded values. Within this context there is a varying degree of material that ranges from design and research approached through purposeful intentions, to understanding the body and space in this scenario through a cultural lense, and implementing this into a western corporate structure. This context is complex and so the path of this research paper too should respond in such a way, before a finalized outcome can be sought and produced. Miromoda, the Indigenous Māori Fashion Apparel Board (IMFAB) is one example, of a non-profit organization that strives to raise the standards and awareness for those in the Māori Fashion industry. Without a permanent physical site, as Miromoda crew co-ordinate during their spare time, the identity of this Māori organization becomes prevalent only at events and gatherings. Challenging and questioning how the presence of their entities essence can be portrayed in such a situation and temporary context. It is inadequate to continue efforts of Western corporate framework application into an indigenous domain that deserves more distinction. There is disconnection within this economic society that differs to that of Māori culture (Marsden, 2003, p125-126). Their value of capitalizing overrides any spiritual and cultural considerations because profit is end game. To understand what is being compromised, leads to comprehension that cultural identity shouldn’t be morphed for acceptance. There is a difference between applying superficial visual touches to a space to tick the correct boxes of acknowledgement than designing with more purposeful intent.</p>

A Presence of Ariā - Within the Indigenous corporate body

<p>“Without consciously looking at them, we breath in our surroundings with all our senses.” - Christopher Day Te Aō Māori revolves around a holistic world view and similarly, this paper too begins there. There is this opportunity here to understand that there is more to a space than just architectural form, especially an interior. These spaces encapsulate an atmosphere that is created by people, expressed through art; both visual and haptic. Theoretical views that share this perspective all seem to converge at a point that describes these spaces through a more embodied outlook. A stronger appreciation is placed on the abilities of our suppressed bodily senses and the strength of presence in creating a spatial identity that places itself among our bodies memory. Interior capacities that are full of atmosphere are like creative expressive mediums of simple translation between mind and body. Māori people convey this innate ability to shape space in a way that touches the skin with a presence and engraves a footprint memory in the mind. Embodiment is something recognized in Māoridom through this understanding of Te Aō Māori however it is missing from the interior spaces which Māori organizations are currently inhabiting in the corporate realm. This culture proudly structures itself around holistic values within a unique world of symbolism (Marsden, 1992, p12) and while being intricately informed by a cultural lense, this perspective isn’t conveyed within western dominated corporate building facilities (see appendix 01). Māori organizations are now finding themselves climbing higher within an economic domain that is prevalent to Western corporations (Berl). This is creating a scenario where cultural symbolism and values, all that contributes to this cultural identity seems compromised. (Marsden, 2003, p24-25) One of the higher three indigenous entrepreneurial persons in the world, (Himona) Māori people are quietly succeeding with credit to culturally embedded values. Within this context there is a varying degree of material that ranges from design and research approached through purposeful intentions, to understanding the body and space in this scenario through a cultural lense, and implementing this into a western corporate structure. This context is complex and so the path of this research paper too should respond in such a way, before a finalized outcome can be sought and produced. Miromoda, the Indigenous Māori Fashion Apparel Board (IMFAB) is one example, of a non-profit organization that strives to raise the standards and awareness for those in the Māori Fashion industry. Without a permanent physical site, as Miromoda crew co-ordinate during their spare time, the identity of this Māori organization becomes prevalent only at events and gatherings. Challenging and questioning how the presence of their entities essence can be portrayed in such a situation and temporary context. It is inadequate to continue efforts of Western corporate framework application into an indigenous domain that deserves more distinction. There is disconnection within this economic society that differs to that of Māori culture (Marsden, 2003, p125-126). Their value of capitalizing overrides any spiritual and cultural considerations because profit is end game. To understand what is being compromised, leads to comprehension that cultural identity shouldn’t be morphed for acceptance. There is a difference between applying superficial visual touches to a space to tick the correct boxes of acknowledgement than designing with more purposeful intent.</p>

Virtual Surgical Planning: Modeling from the Present to the Future

Virtual surgery planning is a non-invasive procedure, which uses digital clinical data for diagnostic, procedure selection and treatment planning purposes, including the forecast of potential outcomes. The technique begins with 3D data acquisition, using various methods, which may or may not utilize ionizing radiation, such as 3D stereophotogrammetry, 3D cone-beam CT scans, etc. Regardless of the imaging technique selected, landmark selection, whether it is manual or automated, is the key to transforming clinical data into objects that can be interrogated in virtual space. As a prerequisite, the data require alignment and correspondence such that pre- and post-operative configurations can be compared in real and statistical shape space. In addition, these data permit predictive modeling, using either model-based, data-based or hybrid modeling. These approaches provide perspectives for the development of customized surgical procedures and medical devices with accuracy, precision and intelligence. Therefore, this review briefly summarizes the current state of virtual surgery planning.

Shape Dynamics of the TT¯ Deformation

I will show how the flow triggered by deforming two-dimensional conformal field theories on a torus by the TT¯ operator is identical to the evolution generated by the (radial) quantum Shape Hamiltonian in 2 + 1 dimensions. I will discuss how the gauge invariances of the Shape Dynamics, i.e., volume-preserving conformal invariance and diffeomorphism invariance along slices of constant radius are realized as Ward identities of the deformed quantum field theory. I will also comment about the relationship between the reduction to shape space on the gravity side and the solvability of the irrelevant operator deformation of the conformal field theory

Transition - An exploration of spatial flexibility for primary schools

<p>This research aims to develop a design model for a future primary school in New Zealand (NZ), which promotes flexibility and privileges the role of outdoor learning environments within a child centered approach to education. The NZ public primary school typology is undergoing a period of reform in response to current global pedagogical developments. This has lead the Ministry of Education (MOE), architects and designers to develop a ‘large open plan’ studio approach to current educational typology. Often creating expansive space in which educationalist must shape environments of learning through ‘flexible furniture’ layouts. This thesis highlights the importance of architectural flexibility to the design of primary schools, as well as the importance of external environments for learning. It is proposed that there should be a more engaging solution between pedagogical development and future primary school contexts within NZ. The design case study (DCS) proposes an active environment of interaction that is capable of transition to engage multiple axis of site and community connectivity. The nature of the design case study pushes away from current trends of the ‘large open plan’ studio, and activates façade enabling spatial and environmental engagement. In plan, a flexible use of space is provided so that the school community can shape space to their needs and desires. Site and community can be viewed as a continuation of the classroom, as highlighted by principles of a Holistic approach to education. The chosen site for the DCS was selected due to its topological location and relationships with is neighbors as well as its involvement in the Christchurch School Rebuild Programme (CSRP). Overall, the research in response to current pedagogical ideals, proposes a flexible outdoor learning orientated school complex is a desirable alternative to the ‘large open plan’ studio.</p>

Transition - An exploration of spatial flexibility for primary schools

<p>This research aims to develop a design model for a future primary school in New Zealand (NZ), which promotes flexibility and privileges the role of outdoor learning environments within a child centered approach to education. The NZ public primary school typology is undergoing a period of reform in response to current global pedagogical developments. This has lead the Ministry of Education (MOE), architects and designers to develop a ‘large open plan’ studio approach to current educational typology. Often creating expansive space in which educationalist must shape environments of learning through ‘flexible furniture’ layouts. This thesis highlights the importance of architectural flexibility to the design of primary schools, as well as the importance of external environments for learning. It is proposed that there should be a more engaging solution between pedagogical development and future primary school contexts within NZ. The design case study (DCS) proposes an active environment of interaction that is capable of transition to engage multiple axis of site and community connectivity. The nature of the design case study pushes away from current trends of the ‘large open plan’ studio, and activates façade enabling spatial and environmental engagement. In plan, a flexible use of space is provided so that the school community can shape space to their needs and desires. Site and community can be viewed as a continuation of the classroom, as highlighted by principles of a Holistic approach to education. The chosen site for the DCS was selected due to its topological location and relationships with is neighbors as well as its involvement in the Christchurch School Rebuild Programme (CSRP). Overall, the research in response to current pedagogical ideals, proposes a flexible outdoor learning orientated school complex is a desirable alternative to the ‘large open plan’ studio.</p>

That's the shape of it!

There may no longer be an early learning goal specifically devoted to understanding shape, space and measure, but settings are still expected to provide rich opportunities for children to develop their spatial reasoning. Here I include some of the best books on this area of learning.