A “musical” crop picture drawn near Stockbridge, Hampshire in July of 1995 seems to show a “spiral lambdoma”, being contemplated by a “young couple” who are sharing a “book of songs” The mathematician Pythagoras in ancient Greece created a school of mathematics which focussed on whole numbers and their ratios (see greek_pythagoras). When a series of such ratios such as 4/1, 3/1, 2/1, 1/1 or 1/1, 1/2, 1/3, 1/4 are drawn in the shape of a Greek letter “lambda”, they are called a “lambdoma” (see time 0:20 of www.youtube.com). Other representations of these number ratios may be in terms of a square matrix (see time 0:50 of www.youtube.com) or a spiral (see time 3:40 of www.youtube.com or fusionanomaly.net). A “spiral lambdoma” was drawn in crops near Stockbridge, Hampshire on July 15, 1995, as other researchers have noted elsewhere (see www.spiritofmaat.com). Here we will add further insights to that useful observation. A crop picture on the left below shows an outer ring of eight small circles, to represent the whole numbers 1, 2, 3, 4, 5, 6, 7 and 8. Inside we can see a “ratchet spiral” of flattened crop, where the outer edges of each flattened section represent the number ratios 1/1, 2/2, 3/3, 4/4, 5/5, 6/6, 7/7 or 8/8 of a spiral lambdoma. All of these “one-to-one” ratios have been shaded in a diagram on the right:
By studying carefully a diagram of the spiral lambdoma (see circularlambdoma), we can see that all number ratios greater than one (for example 2/1, 3/2, 4/3, 5/4, 6/5, 7/6 or 8/7) lie inside of the shaded spiral, and above the two-dimensional plane of the diagram. All of these “out-of-plane” ratios lie within a broad region of flattened crop. Meanwhile all number ratios less than one (for example 1/2, 2/3, 3/4, 4/5, 5/6, 6/7 or 7/8) lie outside of the shaded spiral, and within the two-dimensional plane of the diagram. All of these “in-plane” ratios lie within a broad region of intact, standing crop. Today the number ratios of Pythagoras are used mainly in geometry, for example to calculate the three sides of a triangle (see Pythagorean_triple) and also in music (see www.friesian.com). When we make music using a “square matrix” lambdoma (see www.lambdoma-music.com or www.youtube.com or www.youtube.com), the results are very pleasing to the ear! Where was this “musical” crop picture drawn in July of 1995? Not far from Stockbridge, Hampshire, or just above the image of a “young couple” in the landscape, who seem to be sharing a “book of songs” (like birds):
We will not know exactly what this crop picture was meant to signify, until we meet the extra-terrestrial crop artists in person. Until then, we can just say that they seem to be much more loving and intelligent than ourselves. That is certainly something to think about during Christmas of 2015. Red Collie (Dr. Horace R. Drew) |