Shào Yōng 邵雍 (1011–1077), zì Yáo fū 堯夫, posthumously Kāng jié 康節, self-styled Ān lè xiān sheng 安樂先生 (“Master Ease-and-Joy”). The great Northern-Sòng cosmological-numerological philosopher, reckoned with Zhōu Dūnyí 周敦頤, Zhāng Zài 張載, and the Chéng brothers as one of the Five Masters of Northern Sòng dào xué. Principal works: Huáng jí jīng shì 皇極經世 (KR5d0063) — a monumental cosmological-historical system articulating the world in terms of numerological cycles — and the poetry collection Yī chuān jī rǎng jí 伊川擊壤集 (KR5d0065). Declining official service, Shào lived as a recluse-scholar in Luò yáng. His number-diagrammatic readings of the Yì jīng were foundational for later Neo-Confucian and Daoist alchemical systems.