SCHOLARLY TRANSMISSION TRACK · ANDALUSIAN & ARABIC SCIENCE

The Andalusian & Arabic Scientific Tradition

A comprehensive university-level primer exploring the mathematical breakthroughs, sacred geometry, monumental architecture, Mudéjar synthesis, epigraphy, and astronomical instruments of the Arab Golden Age and Arabic Iberia.

Tradition
Andalusian & Arabic Golden Age
Core Disciplines
Geometry, Architecture, Mudéjar, Script
Transmission
Baghdad → Cordoba → Toledo → Europe
Curriculum
9 Dedicated Interactive Modules
An imagined manuscript atelier joining calligraphers, geometers, and astronomers under Andalusian arches.
The House of Geometry — an original course frontispiece joining manuscript, instrument, and architecture across the medieval Arab world.

Course Overview & Curriculum Syllabus

Welcome to the comprehensive academic course on the Andalusian & Arabic Scientific Tradition. From the algebraic proofs of Baghdad's House of Wisdom to the breathtaking muqarnas vaults of the Alhambra, the interlaced timber artesonado ceilings of Mudéjar Castile, and the proportioned geometric calligraphy of Ibn Muqla, this course explores how sacred geometry, empirical physics, and intercultural transmission shaped medieval and modern civilization.

Scholars in Baghdad's Bayt al-Hikma consulting scrolls and armillary spheres.
Module 1 Foundational · 4 Hours

1. The Golden Age & The Translation Movement

Baghdad's Bayt al-Ḥikma, Ḥunayn ibn Isḥāq, Cordoban Caliphal libraries, and the pivotal 12th-century Toledo School of Translators under Archbishop Raymond and Gerard of Cremona.

A geometric demonstration of completing the square with compass and ink.
Module 2 Intermediate · 5 Hours

2. Euclidean Geometry, Algebra & Optics

Al-Khwārizmī's geometric algebraic proofs, Ibn al-Haytham's (*Alhazen*) foundational Kitāb al-Manāẓir (Book of Optics), and Abū al-Wafāʾ al-Būzjānī's practical geometry for artisans.

Compass-and-straightedge construction of decagonal star strapwork.
Module 3 Advanced · 5 Hours

3. Sacred Geometry & Girih Tilings

The mathematical discovery of the 5 canonical Girih tiles, 10-fold quasicrystalline patterns (500 years before Penrose), star polygon constructions, and interlacing strapwork ribbons.

Andalusian polylobed arches, ribbed domes, and muqarnas vaulting.
Module 4 Intermediate · 4 Hours

4. Monumental Architecture, Arches & Muqarnas

Structural engineering of the Mezquita of Córdoba (two-tiered bichrome arches), the Alhambra's 17 planar wallpaper symmetry groups, and 3D modular corbeled muqarnas vaulting.

Mudéjar interlaced woodwork (artesonado), yesería plaster, and alicatado tiles.
Module 5 Intermediate · 4 Hours

5. The Mudéjar Synthesis & Andalusian Art

The unique Spanish Mudéjar synthesis: Artesonado timber coffered ceilings, Yesería carved stucco arabesques, and Alicatado ceramic mosaics in Seville, Toledo, and Aragon.

Proportioned calligraphy showing reed pen nuqta rhombuses and circular standard bounds.
Module 6 Foundational · 4 Hours

6. Proportioned Calligraphy & Epigraphy

Ibn Muqla's al-Khaṭṭ al-Mansūb (Proportioned Script), the rhombic Nuqṭa system, the Six Canonical Pens (al-Aqlām al-Sittah), and monumental architectural epigraphy.

Astronomy and astrolabes: stereographic projection of the celestial sphere.
Module 7 Advanced · 4 Hours

7. Astrolabes & Spherical Astronomy

Planispheric astrolabes as analogue astronomical computers: stereographic projection, Almucantars, the Zodiac rete, and Al-Zarqālī's universal Saphaea of Toledo.

Numbers and geometrical design studio drafting tools.
Module 8 Hands-on Studio · 3 Hours

8. Interactive Pattern & Tile Studio

A live generative HTML5 canvas laboratory to generate 6, 8, 10, 12, and 16-point star rosettes, manipulate strapwork interlacing, apply historical Andalusian palettes, and export high-resolution PNG artwork.

Omar Khayyam solving cubic curves geometrically.
Module 9 Assessment · 3 Hours

9. Mastery Quizzes & Scholarly Compendium

15-question interactive examination with instant academic feedback, comprehensive multi-lingual terminology glossary, and primary manuscript concordance.

The Masoretic & Andalusian Confluence

Just as the Tiberian Masoretes preserved the sacred Hebrew biblical vocalization with meticulous phonetic and cantillation pointing, Jewish, Arab, and Mozarabic scholars in Cordoba, Lucena, and Toledo collaborated to preserve and expand the mathematical, philosophical, and architectural heritage of antiquity.

Primary Text: Ibn Khaldun on Geometry and Intellect
«الهندسة تفيد العقل إضاءة ونوراً، وتثبت في النفس عادة الصدق، لأن براهينها قطعية واضحة لا مدخل فيها للشبهة.»
"Geometry illuminates the intellect and sets the mind right. All its proofs are clear and orderly. It is hardly possible for errors to enter into geometric reasoning, because it is well arranged and orderly. Thus, the mind that constantly applies itself to geometry is unlikely to fall into error."
— Ibn Khaldūn, Al-Muqaddimah (The Prolegomena), Chapter on the Mathematical Sciences, c. 1377 CE

All course illustrations are original works created for The House of Geometry.

Start Module 1: The Translation Movement