so as i was saying, the vesica piscis flowers i have presented are all of the 12-petaled variety. this is a natural extention of having a 3-petal veisca piscis flower where petal vertices coincide at one end and have their long axes each rotated 60º one to the other and so bringing their petal-edge arcs exactly tangent. 4 such 3-petal flowers overlain and rotated 30º each from the other gives the 12-petal flower. naturally, we can construct any n*3-petal flowers, to the limits of our senses, and so here is the 9-petal vesica piscis flower.
in retrospect, i think i left out some of the important geometry, or geometric relations that is, from my generator petal. specifically the diagonals of the 2 squares and so the square root of 2. no worries; i'm on it.
generator petal 01:
generator petal 02:
---------------- semantics is not always just pedantic quibbling. ~ douglas r. hofstadter
Don't get me wrong, I find your constructs beautiful in their own right, but I think the latest one would look even better if the outermost star-pentagon were removed. I hope this isn't in some way sacrilege.
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Acts of creation are ordinarily reserved for gods and poets. To plant a pine, one need only own a shovel. - Aldo Leopold
Don't get me wrong, I find your constructs beautiful in their own right, but I think the latest one would look even better if the outermost star-pentagon were removed. I hope this isn't in some way sacrilege.
honesty coupled with a commission is no sacrilege.
---------------- semantics is not always just pedantic quibbling. ~ douglas r. hofstadter
Last edited by Turtle; 2 Days Ago at 09:55 PM..
Reason: editing
Re: Vesica Piscis--Real Sacred Geometry
semantics is not always just pedantic quibbling. ~ douglas r. hofstadter
Re: Vesica Piscis--Real Sacred Geometry
no worries; i'm on it. 
no matter...here we go thens.....
