The "pyramid" of ancient Egypt, in the opinion of this author, is an intelligent representation of the bronchial tree [see: importance of the cardio-respiratory apparatus in the ancient world; in my earlier posts]. The bronchial tree may be imagined as having four sides.
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| A pyramid of ancient Egypt. |
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| An image of a portion of the human bronchial tree below which is written, "The bronchial tree is hierarchical." An image of a pyramid appears below these words. |
There is a hierarchy of bronchial conduits. The bronchi branch dichotomously (albeit irregularly) at each level so that each consecutive airway gives rise to two progressively smaller airways. Due to this branching pattern, we have a pyramidal hierarchy of conduits.
And the ancient pyramid is a representation of this hierarchy present within the human bronchial tree.
As the branching pattern of the human bronchial tree is held to be DICHOTOMOUS (each parent bronchus gives rise to two child bronchi), it generates a pyramidal structure as shown in the diagram below.
| | Dichotomous branching: simplified model.
Image source: https://www.researchgate.net/figure/Bronchial-tree-pattern-left-monopodial-and-right-dichotomic_fig5_262387669
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 | | Diagram illustrating the branching structure of the lung airways.
Image source: https://musculoskeletalkey.com/anatomy-and-physiology-of-the-respiratory-system/
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The number of bronchi at various levels of this pyramidal hierarchy would be 1 (if we include the trachea), 2, 4, 8, 16, ... If one were to (architecturally) represent the bronchi using equal-sized bricks, one would probably get a STEP PYRAMIDAL structure like in the image below.
 | | A step pyramidal structure. Diagram made by this author.
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Now, the earliest Egyptian pyramids were STEP PYRAMIDS! "Step pyramids are structures which characterized several cultures throughout history, in several locations throughout the world. " Whether it be the Ziggurat of Ur, the Pyramid of Djoser, El Castillo, Chichen Itza, Mexico or the seven‑tiered pyramid of Koh Ker, Cambodia, the step pyramidal structure is ubiquitous and almost inextricably bound with religion in the ancient world. Even some of the Vedic sacrificial altars (vedi) have this distinct pyramidal design.
 | | Pyramid of Djoser
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 | | seven‑tiered pyramid of Koh Ker, Cambodia
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 | | El Castillo, Chichen Itza, Mexico
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 | | Stepped pyramids in Teotihuacan, Mexico
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 | | Vedic sacrificial altar.
Image source: https://www.hinduwebsite.com/rites.asp
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Therefore, if the estimation of this author is correct, then this architectural representation is endowed with a special esoteric meaning. It relates to the MICROCOSM, the lung and the human BRONCHIAL TREE in particular. There is a kind of microcosmic emulation going on with the participants (such as the pharaohs) representing the entities within the cardio-respiratory system such as the neural entities.  One other interesting aspect with regard to the bronchial tree (and, therefore, the pyramids) is that it was this tree that was referred to by the ancients as the tree of (material) life / existence! | | A portion of the human bronchial tree
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