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Learning from Folding Paper to Develop Folding Mechanisms
This research proposes a method for designers to develop kinetic structures derived from folding patterns, which are viable in architecture based on...
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Efficient Folding Algorithms for Convex Polyhedra
We investigate a folding problem that inquires whether a polygon P can be folded, without overlap or gaps, onto a polyhedron Q for given P and Q . An...
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Qfold: a new modeling paradigm for the RNA folding problem
Ribonucleic acid (RNA) molecules play informational, structural, and metabolic roles in all living cells. RNAs are chains of nucleotides containing...
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Spiraling and Folding: The Topological View
For every n , we construct two arcs in the plane that intersect at least n times and do not form spirals. The construction is in three stages: we...
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Propagation of curved folding: the folded annulus with multiple creases exists
In this paper we consider developable surfaces which are isometric to planar domains and which are piecewise differentiable, exhibiting folds along...
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Geometric Algebra Models of Proteins for Three-Dimensional Structure Prediction: A Detailed Analysis
A protein can be regarded as a chain of amino acids with a unique folding in the three-dimensional (3D) space. Knowing the folding of a protein is...
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Folding Words Around Trees: Models Inspired by RNA
At the intersection of mathematics and biology, we find mathematical models built to address biological questions as well as new mathematical...
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Counting Infinitely by Oritatami Co-transcriptional Folding
A fixed bit-width counter was proposed as a proof-of-concept demonstration of an oritatami model of cotranscriptional folding [Geary et al.,...
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Origami and Descriptive Geometry: Tangible Models to Enhance Spatial Skills
The use of tangible models to enhance spatial skills and geometric thinking is common practice in architects’ and mathematicians’ curricula . Thanks...
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Revisiting the Effects of MDR1 Variants Using Computational Approaches
P-glycoprotein, encoded by the MDR1 gene, is an ATP-dependent pump that exports various substances out of cells. Its overexpression is related to...
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Two-dimensional diffeomorphic model for multi-modality image registration
In this paper, we propose a diffeomorphic multi-modality image registration model based on the Rényi’s statistical dependence measure by taking mesh...
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Geometric Strategies in Creating Origami Paper Lampshades: Folding Miura-ori, Yoshimura, and Waterbomb Tessellations
This chapter describes geometric strategies in origami design to create paper lanterns that gleam with the luminous gradations of light. While the...
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Transformation of Geometry from 2D to 3D: Revisiting Origami in a Digital Design Course
In this study, the importance of origami in transforming 2D patterns into 3D objects is highlighted. Within a design workshop, projects of...
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Experimental Structural Model: From Manual Paper Garment to Fabrication as an Architectural Practice-Based Approach for Fashion Design Education
The study presents the integration of architectural design approaches in the fashion design process suggesting a new educational method based on...
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Biomolecular Topology: Modelling and Analysis
With the great advancement of experimental tools, a tremendous amount of biomolecular data has been generated and accumulated in various databases....
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Exact Algorithm for Generating H-Cores in Simplified Lattice-Based Protein Model
Modeling protein folding, which is the process by which a protein obtains its spacial shape, still remains a challenging problem. Protein geometry...
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José Lapayese’s Silk Thread Winding Machine: Approach to Its Geometric Modelling and 3D Digital Restitution
This paper describes the geometric modelling and 3D digital restitution of the machine for folding silk by José Lapayese included in his work...
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Synthetic Methods for Constructing Polyhedra
In this paper, we propose an explanation and application of the synthetic method to the representation of the Platonic and Archimedean Solids (PS and...
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The Axioms of Origami
Origami, the art of paper folding, was developed several centuries ago in Japan and nowhas aworldwide following. In the late twentieth century the...