1. Ashkan, Maryam, Yahaya Ahmad, and Ezrin Arbi. 2012. Pointed dome architecture in the Middle East and Central Asia: Evolution, definitions of morphology, and typologies. International Journal of Architectural Heritage 6(1): 46-61. [
DOI:10.1080/15583058.2010.501400]
2. Bálek, Martin and Jaroslav Nešetřil. 2004. Towards mathematical aesthetics. Citeseer.
3. Baratta, Alessandro. 2013. On the structural assessment of masonry vaults and domes. International Journal of Mechanics 7(3): 201-09.
4. Benjafield, John. 1976. The golden rectangle: Some new data. The American journal of psychology 89(4): 737-43. [
DOI:10.2307/1421471]
5. Bertamini, M., C. Byrne, and K. M. Bennett. 2013. Attractiveness is influenced by the relationship between postures of the viewer and the viewed person. i-Perception 4(3): 170-79. [
DOI:10.1068/i0578]
6. Birkhoff, George David. 1933. Aesthetic measure. Cambridge: Harvard University Press. [
DOI:10.4159/harvard.9780674734470]
7. Boselie, Frans. 1984. Complex and simple proportions and the aesthetic attractivity of visual patterns. Perception 13(2): 91-96. [
DOI:10.1068/p130091]
8. Branch, N.J. 2011. The dome in Christian and Islamic sacred architecture.
9. Brown, Jennifer Rees, Rick van der Zwan, and Anna Brooks. 2012. Eye of the beholder: Symmetry perception in social judgments based on whole body displays. i-Perception 3(7): 398. [
DOI:10.1068/i0495]
10. Cowan, Henry J. 1977. A history of masonry and concrete domes in building construction. Building and Environment 12(1): 1-24. [
DOI:10.1016/0360-1323(77)90002-6]
11. Crasmareanu, Mircea and Cristina-Elena Hreţcanu. 2008. Golden differential geometry. Chaos, Solitons & Fractals 38(5): 1229-38. [
DOI:10.1016/j.chaos.2008.04.007]
12. Davis, Susan T and John C Jahnke. 1991. Unity and the golden section: Rules for aesthetic choice? The American Journal of Psychology 104(2): 257-77. [
DOI:10.2307/1423158]
13. Djazbi, Seyed Ali Reza. 1985."Iranian arches, according to Ghiasuddin Jamshid Kashani. Asar 10: 166-74. [In Persian]
14. Fechner, Gustav Theodor. 1871. Zur experimentalen Aesthetik. Hirzel.
15. Fechner, Gustav Theodor. 1876. Vorschule der aesthetik. Breitkopf & Härtel.
16. Friedenberg, Jay. 2012. Aesthetic judgment of triangular shape: Compactness and not the golden ratio determines perceived attractiveness. i-Perception 3(3): 163. [
DOI:10.1068/i0484]
17. Godkewitsch, Michael. 1974. The golden section: an artifact of stimulus range and measure of preference. The American Journal of Psychology 87(1-2): 269-77. [
DOI:10.2307/1422021]
18. Grütter, Jörg Kurt. 1987. Ästhetik der Architektur: Grundlagen der Architektur-Wahrnehmung. Translated by Jahanshah Pakzad. 2007. Tehran: Shahid Beheshti University. [in Persian].
19. Gye, D. H. 1988. Arches and domes in Iranian Islamic Buildings: An engineer's perspective. Iran 26: 129-44. [
DOI:10.2307/4299807]
20. Herz-Fischler, Roger. 2001. Proportions in the Architecture Curriculum. Nexus Network Journal 3(2): 163-85. [
DOI:10.1007/s00004-001-0032-7]
21. Huerta Fernández, Santiago and Ricardo Aroca Hernández-Ros. 1989. Masonry Domes: A study on proportion and similarity. In Proceedings of IASS 30th Anniversary World Congress, Madrid 11-15 September 1989. Vol. 1.
22. Huerta, Santiago. 2007. Oval domes: History, geometry and mechanics. Nexus Network Journal 9(2):211-48.
https://doi.org/10.1007/978-3-7643-8699-3_4 [
DOI:10.1007/s00004-007-0040-3]
23. Kheyri, Ali. 2010. The arch of Iranian Islamic architecture in Moftah al-Hassab Ghiyasuddin Kashani. Book of Science and Technology 129(4): 28-34. [in Persian].
24. Lefebvre, Vladimir A. 1992. A rational equation for attractive proportions. Journal of Mathematical Psychology 36(1): 100-28. [
DOI:10.1016/0022-2496(92)90054-B]
25. Mahshid, Minoo, Alireza Khoshvaghti, Masoud Varshosaz, and Naser Vallaei. 2004. Evaluation of "golden proportion" in individuals with an esthetic smile. Journal of Esthetic and Restorative Dentistry 16(3): 185-92. [in Persian]. [
DOI:10.1111/j.1708-8240.2004.tb00032.x]
26. Marlowe, Frank, and Adam Wetsman. 2001. Preferred waist-to-hip ratio and ecology. Personality and individual differences 30(3): 481-89. [
DOI:10.1016/S0191-8869(00)00039-8]
27. Marlowe, Frank, Coren Apicella, and Dorian Reed. 2005. Men's preferences for women's profile waist-to-hip ratio in two societies. Evolution and Human Behavior 26(6): 458-68. [
DOI:10.1016/j.evolhumbehav.2005.07.005]
28. McManus, I. C., Richard Cook, and Amy Hunt. 2010. Beyond the golden section and normative aesthetics: Why do individuals differ so much in their aesthetic preferences for rectangles? Psychology of Aesthetics, Creativity, and the Arts 4(2): 113. [
DOI:10.1037/a0017316]
29. McManus, I. C. 1980. The aesthetics of simple figures. British Journal of Psychology 71(4): 505-24. [
DOI:10.1111/j.2044-8295.1980.tb01763.x]
30. Piehl, Jochen. 1978. The golden section: The "true" ratio? Perceptual and Motor Skills 46(3): 831-34. [
DOI:10.2466/pms.1978.46.3.831]
31. Pirnia, Karim, and Zohreh Bozorgmehri. 1366. Arches and vaults. Asar 24: 5-45. [in Persian].
32. ---. 1370. Dome in Iranian architecture. Asar 20: 5-139. [in Persian]
33. Raghubir, Priya and Eric A. Greenleaf. 2006.Ratios in proportion: What should the shape of the package be? Journal of Marketing 70(2): 95-107. [
DOI:10.1509/jmkg.70.2.95]
34. Russell, Phil A. 2000. Testing the aesthetic significance of the golden-section rectangle. Perception-London 29(12): 1413-22. [
DOI:10.1068/p3037]
35. Seghers, M. J., J. J. Longacre, and G. A. Destefano. 1964. The golden proportion and beauty. Plastic and Reconstructive Surgery 34 (4): 382-86. [
DOI:10.1097/00006534-196410000-00007]
36. Sharp, John. 2002. Richard Padovan-Proportion: Science, Philosophy, Architecture. Nexus Network Journal 4(1): 113-22. [
DOI:10.1007/s00004-001-0008-7]
37. Sinclair, Nathalie. 2004. The roles of the aesthetic in mathematical inquiry. Mathematical Thinking and Learning 6(3): 261-84. [
DOI:10.1207/s15327833mtl0603_1]
38. Singh, Devendra. 2002. Female mate value at a glance: Relationship of waist-to-hip ratio to health, fecundity and attractiveness. Neuroendocrinology Letters 23(4): 81-91.
39. Tymoczko, Dmitri. 2011. A geometry of music: harmony and counterpoint in the extended common practice. Oxford University Press.
40. Wahdattalab, Massoud, and Elham Rezayizadeh. 2016. Dome morphology (research on aesthetic proportions and distribution of domes of mosques in central plateau of Iran). Culture of Islamic Architecture and Urbanism 2(2): 109-24. [in Persian]
41. Weber, Jürgen. 2002. The judgment of the eye: The metamorphoses of geometry-One of the sources of visual perception and consciousness. Springer.
42. Zomarshidi, Hosein 1967. Arch and vaults in Iranian architecture. Tehran: Keyhan Publications. [in Persian]