Per Sanguinem Nostrum by Dr William Peters, 27 Nov - 19 Dec 2015


Per Sanguinem Nostrum, the model, qualifies both Darwinian evolutionary theory and Leonardo da Vinci’s Vitruvian man.

It provides a mathematical rationale for the order, repetition and adaptability evident in vertebrate life on earth, from fish to man.

The book is published as a hand-printed edition of 37. The book consists of a prooemium, abstract, nine chapters and an afterword. The abstract is attached. 

The nine chapters step through the basis and mechanism of transformation of the fish circulation to the bipedal animal circulation. Its like a 9-part 'instructable', and is image-driven. Each chapter consists of a page of text and a page with an image(s). The first two chapters are metaphysical in approach, to help position the concept (single-looped versus double-looped electron carrier circuits), leading into extant circulation physics and polar geometry in Chapters three and four. Chapters five-nine apply the physical transformation to objectively demonstrate the relationship between fish and man using epistemology, embrylogy and anatomy to justify the model. The chapters lead sequentially through the pharyngeal arches, the aortic transformation, somatomeric perfusion re-distribution, ventricular and cappilaric shaping, venous return, the pulse, septation of the left and right ventricles and ductus closure. The afterword highlights the polar porphin ring as a central constructor to biological life, from cyanobacteria and plants, to animals.

The book itself is printed from relief-etched copper plates. The writings and drawings for the prooemium, chapters and afterword were made directly onto the plates, then etched with acid. The paper is Arches 88, a hand-made French paper with no size (glue). Oil-based inks used were by Gamblin (USA), and printing was made into damped paper.

The book cover carries an emboss of a copper plate with the outline of a porphin molecule in relief. The cover is Buckram linen with a Nigerian goatskin leather spine and corners. The pages are bound through the punched spine using a long-stitch method - a single 8m beeswax-coated thread. The lining of the book is Japanese linen. To complete the picture, the book comes in a Solander box. The title is embossed on the spine of the box, 'Per Sanguinem Nostrum'. The book sits within a tailored satin pillow wrap, and silk gloves are supplied in the boxed set.

The book is currently available through Paul Nache Gallery. Selected limited edition prints are also available.

For more information, please visit


This model demonstrates that evolution of the double-looped human circulation is a quantum switch from the simpler, single-looped circulation of fish. This ocurs via the transitionary, mixed circulation typical of reptiles.

The basic form of animals with vertebrae, and the cardiovascular system, arises from a biological electron-carrier archetype.

The photo-electric properties of haemoglobin - which switches polarity with its oxidation state - shapes the circulatory system. That is, by polar transformation, the four-chambered human circuit is derived geometrically from a two-chambered fish circulatory system. 

By the nature of haem, a non-protein porphin compound bound to globin, streaming blood reverses its magnetic moment when it binds dioxygen from the environment. Oxygen is delivered via bi-segmental arteries to the peripheries and disassociates in the capillaries. 

The magnetic moment of the haem stream flips again. 

Standing waves are set by the alternating moment of the one-way, photo-electric carrier circuit as electrons are internalized, then utilized by the organism.

In fish, a spill-over stream of gill-oxygenated pharyngeal blood (diamagnetic) into the central deoxygenated stream (paramagnetic) creates a re-entrant loop-in-loop circuit. With favorable climatic change as a catalyst, the disparate cardiac loops pivot apart as they equilibrate toward a new parity and simultaneously roll about a central axis. 

As the double-loop circuit unpacks, the interposed pulmonary pathway develops. Gill filaments involute to become alveolae. Bisymmetric segmental somatomeric perfusion is sympathetically maintained about the geo-magnetic plane. The sagittal deuterostome mouth-anus axis is retained.

In geometric translation, man evolves to stand.

The ligamentum arteriosum of birds and higher mammals is the fibrosed remnant of this circuitry phase transition. It is an embryological fossil of the primordial fish circulation from when we breathed under water.