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Abstract. The complex formation of Islamic Geometric Patterns (IGP) is one of the distinctive features in Islamic art and architecture. Many have attempted to reproduce these patterns in digital form, using various pattern generation techniques, in 2D. Shape grammars are an effective pattern generation method, providing good aesthetic results. In this paper we describe a novel approach in generating 3D IGP using the shape grammar method. The particular emphasis here is to generate the motifs (repeated units with the pattern) in 3D using parameterization. These can then be manipulated within the 3D space to construct architectural structures. In this work we have developed two distinctive Shape Grammars in 3D namely Parameterized Shape Grammar (PSG) and Auto-Parameterized Shape Grammar (APSG). Here the PSG generates the motifs and the APSG enables construction of the structures using the generated motifs. Both grammars are practically implemented as a 3D modelling tool within Autodesk Maya. The parameterization within each grammar is the key to generate both Islamic geometric motifs and Islamic geometric motif-based structures.

The National Institute of Standards and Technology (NIST) develops cybersecurity standards, guidelines, best practices, and other tools to meet the needs of American business, government organizations, and the general public. Their work spans from giving businesses accurate information that they can utilize immediately to longer-term research that anticipates technology developments and future challenges. Moreover, the needs of American industry and the general public are what drive their cybersecurity endeavors. They collaborate closely with stakeholders to set priorities and ensure that our resources are focused on the most urgent issues they face. NIST also advances the management of privacy risks, some of which are directly connected to cybersecurity, and broadens our understanding of those risks. Among the main areas on which NIST contributes and focuses are cryptography, education and workforce, emerging technologies, risk management, identity and access management, measurements, privacy, trustworthy networks, and trustworthy platforms. This research paper aims to focus on discussing the various controls of the NIST. It also emphasizes on the processes to be followed by the federal agencies to ensure that they are NIST compliant.