In my academia.edu paper on lunar simulators, based upon the surviving part of a circular structure at Le Manio (Carnac, Brittany), a very simple but poor approximation to PI could be assumed, of 82/26 (3.154) since there seem to have been 82 stones in the circle and the diameter was 26 of the inter-stone distance of 17 inches. The number 82 is significant to simulation of the moon’s orbit since that orbit is very nearly 27 and one third days long (actually 27.32166 days). In three orbits therefore, there are almost exactly 82 days and in day-inch counting that is 82 day-inches. Also of interest is the fact that in three orbits, the exact figure would be 81.965 day-inches which approaches the megalithic rod of 2.5 MY as 6.8 feet.

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## The Roof Axe as Circumpolar Device

This article explores the use of axe motifs within a form of carved schematic art unique to the megalithic monuments near Carnac, southern Brittany, France. First published in February 2014.

A diagram found on the underside of the capstone
of a chambered dolmen called Kercado (see figure 1) appears to hold
metrological and astronomical meanings. Classified as a type of AXE, local axe
motifs are said to have three distinct forms (a) triangular blades, (b) hafted
axes and (c) the *Mane Ruthual* type [Twohig, 1981[1]].

Types b and c are often found in the singular on
the undersides to roof slabs and in the case of form (b), the hafted axe, I
have attributed its display below the roof slab of *Table des Marchands* at Locmariaquer (inset right) as being used to
represent the north pole between 5000 and 4000 BC, at a time when there was no
star near to the pole itself. The abstract point of the north pole, the
rotational axis of the earth, is shown as a loop attached to the base of the axe
haft, whilst the axe head then represented a chosen circumpolar star, as this
rotates counter-clockwise in the northern sky, at the fixed distance of the
haft from the pole itself. Note how compatible this idea of an axe ploughing
the northern skies is to our own circumpolar constellation, The Plough. Note
also that the eastern horizon moves through the equatorial stars at the same
angular rate as the marker star moves around the north pole.

## Astronomical Time within Clava Cairns

In North East Scotland, near Inverness, lies Balnuaran of Clava, a group of three cairns with a unique and distinctive style, called Clava cairns; of which evidence of 80 examples have been found in that region. They are round, having an inner and outer kerb of upright stones between which are an infill of stones. They may or may not have a passageway from the outer to the inner kerb, into the round chamber within. At Balnuaran, two have passages on a shared alignment to the midwinter solstice. In contrast, the **central ring cairn** has no passage and it is staggered *west *of that shared axis.

This off-axis ring cairn could have been located to be illuminated by the **midsummer sunrise** from the **NE Cairn**, complementing the midwinter sunset to the south of the two passageways of the other cairns. Yet the primary and obvious focus for the Balnuaran complex is the midwinter sunset down the aligned passages. In fact, the ring cairn is more credibly aligned to the lunar minimum standstill of the moon to the south – an alignment which dominates the complex since, in that direction the horizon is nearly flat whilst the topography of the site otherwise suffers from raised horizons.

## Three Lunar Orbits as 82 day-inches

*Sacred Number and the Lords of Time* interpreted Thom’s megalithic fathom of 6.8 feet (as 2.72 feet times 2.5) found at Carnac’s Alignments as a useful number of 82 day-inches between stones in the stone rows of Le Menec. After 82 days, the moon is in almost exactly the same place, amongst the stars, because its orbit of 27.32166 days is nearly 27 and one third days. Three orbits sums to nearly 82 days. But the phase of the moon at that repeated place in the sky will be different.

## Use of foot ratios in Megalithic Astronomy

The ratios of ancient metrology emerged from the Megalithic innovations of count&compare: counting time as length and comparing lengths as the longest sides of right triangles. To compare two lengths in this way, one can take a longer rope length and lay it out (say East-West), starting at the beginning of the shorter rope length, using a stake in the ground to fix those ends together.

The longer rope end is then moved to form an angle to the shorter, on the ground, whilst keeping the longer rope straight. The Right triangle will be formed when the longer rope’s end points exactly to the North of the shorter rope end. But to do that one needs to be able to form a right angle at the shorter rope’s end. The classic proposal (from Robin Heath) is to form the simplest Pythagorean triangle with sides {3 4 5} at the rope’s end. One tool for this could then have been the romantic knotted belt of a Druid, whose 13 equally spaced knots could define 12 equal intervals. Holding the 5th knot, 8th knot and the starting and ending knots together automatically generates that triangle sides{3 4 5}.

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