هندسه، اساس و منشاءِ معماری استعلایی

ماهیت هندسه در معماری و نحوۀ کاربست آن، همواره موضوعی مورد مناقشه در میان معماران و اندیشه‌ورزانِ این حوزه بوده است، و غالباً پژوهشگران با توجه به خاستگاه نظریِ خود، از جنبه‌هایی متفاوت و حصری بدان نگریسته‌اند. حال این پژوهش درصدد است تا با بهره‌گیری از مکتب اسلام به عنوانِ یک خاستگاه نظریِ جامع و مانع به شناخت ماهیت و وظایفِ هندسه در نظامِ آفرینش کلیۀ مخلوقات و مصنوعات و به شکل ویژه معماری همت گمارد و از این رهگذر، به استعلای آموزش و طراحی معماری کمک نماید. از اینرو، ابتدا ضمن بررسیِ این مولفه در مکاتب گوناگون بشری، تلاش گردیده است؛ برای شکل‌دهی به چهارچوبِ نظریِ پژوهش، با رویکردی تفسیری- تحلیلی و با بهره‌گیری از منابع اصیل اسلامی به شناخت این مفهوم و جایگاه آن در نظامِ هستی و کلیۀ ممکنات موجود در آن، از جمله معماری پرداخته شود. سپس با بهره‌گیری از روش استدلال منطقی سعی شده است تا نقش‌های هندسه در معماری از چهارچوب نظری پژوهش استخراج گردد. سپس بر این مبنا و برای ادراکی جامع از نقشِ هندسه در معماری، علل اربعۀ هندسه در معماری شناسایی و در یک بنا که در اینجا «خانۀ کعبه» به عنوانِ نمودی از معماری الهی می‌باشد، بررسیِ انطباقی گردیده است. در پایان، شناختِ این علّل، مبین این موضوع می‌باشد که: علّت فاعلیِ هندسه در معماری، انتظام بخشی به اجزاء در قالبِ یک کلِ وحدت یافته، برای بهره‌برداری انسان (انسانِ کامل) می‌باشد. علت غایی نیز، انتقالِ حقیقتِ معنا متناسب با نوعِ عملکرد معماری، در جهت نیل به مقامِ هدایت و عبودیت است. علّت مادی عنصر «فضا» می‌باشد که می‌بایست متناسب با عملکرد بنا و قوای ادراکی انسان، مشخصاتی خاص یابد. علت صوری، وجوهِ محدود کننده و متمایز کنندۀ فضا (کف، سقف، نمای درونی و بیرونی) می‌باشد، که می‌بایست متناسب با عملکرد بنا و معنای مورد انتظار از آن؛ صورت یابد.

geometry, the main origin of transcendental architecture

extended abstractbackground and objectives: throughout the history of human thought, numerous theories have emerged concerning the essence of architecture, its fundamental components, and the role and significance of each element. these theoretical perspectives have profoundly influenced how architecture is conceptualized, practiced, and taught. dominant paradigms such as formalism and strict functionalism, for example, often reduce architecture to a purely visual or utilitarian construct—one that functions merely as a physical container for human activity. such reductionist views tend to overlook the fixed and multidimensional nature of human beings, whose needs extend beyond the material to encompass emotional, sensory, intellectual, and spiritual dimensions. as a result, these perspectives fall short of addressing the full richness of human experience and hinder architecture’s potential to contribute to human flourishing. among the elements that have been neglected or insufficiently explored in many of these modern approaches is the concept of “geometry.” far more than a technical or decorative tool, geometry has historically served as a foundational and generative principle in architecture—one that organizes space, creates harmony, and reflects deeper metaphysical realities. this research seeks to re-examine the role of geometry within the broader system of creation, and by extension, within architectural design, through the lens of islamic philosophy and thought. by adopting this holistic and spiritually grounded framework, the study aims to uncover the true ontological and functional status of geometry in architecture. ultimately, it aspires to contribute to a richer pedagogical and practical approach to architectural education and design—one that is aligned with the innate nature of human beings and supports a more meaningful, purposeful built environment.methods: initially, the research examines the definition and position of geometry across various human schools of thought. using an interpretive-analytical approach and authentic islamic sources, the study identifies this concept and its place within the system of existence, including architecture, thereby shaping the theoretical framework of the research. through logical reasoning, the roles of geometry in architecture are extracted from this theoretical framework. for a comprehensive understanding, the four causes of geometry in architecture are identified and examined through a case study of the “house of kaaba,” a manifestation of divine architecture.findings: the indicate the following:- efficient cause: geometry organizes architectural elements into a unified whole for human use, aiming for the perfection of human life.- final cause: geometry conveys meaning aligned with the architectural function, guiding individuals towards worship and understanding.- material cause: the element of “space,” which must possess specific characteristics and features in each building, proportional to its function and human perceptual powers.- formal cause: the limiting and distinguishing aspects of space (such as floors, ceilings, and exteriors), which must be proportionate to the building’s function and intended meaning, leading to the creation of a unique internal and external volume, decorated with appropriate arrangements.conclusion: this research underscores the profound significance of geometry in the realm of architecture, particularly through the lens of islamic thought. by exploring the theoretical foundations and practical applications of geometry, the study reveals its essential role as the primary generator and organizer of architectural elements. the identification of the four causes—efficient, final, material, and formal—provides a comprehensive understanding of how geometry shapes and enhances architectural design. the case study of the kaaba exemplifies the divine and functional aspects of geometry, demonstrating its capacity to harmonize architectural elements, convey meaningful symbolism, and create spaces that cater to both human perceptual powers and spiritual needs. this holistic approach not only enriches the sensory and spiritual dimensions of human life but also offers a robust framework for contemporary architectural practice. ultimately, this research advocates for a renewed emphasis on geometry in architectural education and design, promoting a more integrated and meaningful approach that aligns with the holistic nature of human existence.