Thoth’s Constant , , and e. Ian Douglas ian@zti.co.za ORCID: https://orcid.org/0000-0002-8452-7111 Version 1.0.0 DOI: https://doi.org/10.5281/zenodo.8105721 Licensed under the Creative Commons Attribution 4.0 International Licence. Please check via DOI for latest version. 2 July 2023 Abstract Divine Keywords: History of Mathematics, , , e. Contents Contents 1 1 Introduction 1 2 Symbols and values 1 3 Thoth’s Constant 2 4 The symbol 2 5 Use at Giza 2 6 Triangles and the double square 3 7 Curiosity related to Khufu’s dimensions 3 Bibliography 4 1 Introduction Just to formally introduce a ratio used previously, and give it a symbol. I need it for upcoming documents, which links the great pyramid to the speed of light more accurately than any other extant method, and for deciphering the King’s Chamber. 2 Symbols and values Table 1 shows the usual irrationals. Construction is a practical art, so we need to use practical values for certain irrationals. It appears that while they used 3.1416 as π when needed, they were happy to approximate that to simpler versions like 3.14 or 3.142 when showing intent rather than exactitude was sufficient. Even today, we still use 22/7 or 3.14 in school. Equations shown below use a science/engineering approach, not pure mathematics, so 1.999 = 2.0. We should remember that we are dealing with a different culture, which may have had a different approach to accuracy and precision, compared to our modern scientific mindset. My Giza analysis suggests they typically worked to 3 or 4 decimal places. This may indicate that they used abacuses or counting tables, 1