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تسجيل مستخدم جديدالبنيات البديلة الثانية: الميتا-فراختال، المصنوعة من طائرات الصندوق، تملأ السماء المتجانسة الغير محدودة
Placeholder Substructures II: Meta-Fractals, Made of Box-Kites, Fill Infinite-Dimensional Skies
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تأليف
Robert P. C. de Marrais
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صفر القساوس (ZDs) المستمدة من عملية كايلي-ديكسون (CDP) من الأرقام الهيبركومبليكس المتعددة الأبعاد (N قوة من 2، على الأقل 4) يمكن أن تمثل الأشكال المفردة و، عندما يقترب N من الأبدي، الفراخ -- وبالتالي، شبكات عالية الدقة. أي عدد صحيح أكبر من 8 وليس عبارة عن قوة من 2 ينتج فراخا متا أو سكاي عندما يتم تفسيره كثوابت الشريحة (S) من مجموعة من الرسوم المثلثية الأوكتاجوندال (العناصر الأساسية ل ZDs). قواعد بسيطة جدا للتعامل مع البيانات أو الوصفات توفر أدوات لتحويل جنس واحد من الفراخ إلى آخر ضمن سياق تعقيد كلاس فولفرام 4.
Zero-divisors (ZDs) derived by Cayley-Dickson Process (CDP) from N-dimensional hypercomplex numbers (N a power of 2, at least 4) can represent singularities and, as N approaches infinite, fractals -- and thereby,scale-free networks. Any integer greater than 8 and not a power of 2 generates a meta-fractal or Sky when it is interpreted as the strut constant (S) of an ensemble of octahedral vertex figures called Box-Kites (the fundamental building blocks of ZDs). Remarkably simple bit-manipulation rules or recipes provide tools for transforming one fractal genus into others within the context of Wolframs Class 4 complexity.
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Zero-divisors (ZDs) derived by Cayley-Dickson Process (CDP) from N-dimensional hypercomplex numbers (N a power of 2, at least 4) can represent singularities and, as N approaches infinite, fractals -- and thereby,scale-free networks. Any integer great
er than 8 and not a power of 2 generates a meta-fractal or Sky when it is interpreted as the strut constant (S) of an ensemble of octahedral vertex figures called Box-Kites (the fundamental building blocks of ZDs). Remarkably simple bit-manipulation rules or recipes provide tools for transforming one fractal genus into others within the context of Wolframs Class 4 complexity.
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