It's Symmetry Sunday!
A pattern of intersecting brick arches enlivens the exterior of the Kościół św. Franciszka z Asyżu (Church of St. Francis of Assisi), Kraków, Poland.
#Kraków #Poland #Architecture #Photography #Detail #Symmetry #FORAPhotography #SymmetrySunday
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#symmetry : a due proportion of the several parts of a body to each other
- French: symétrie
- German: die Symmetrie
- Italian: simmetria
- Portuguese: simetria
- Spanish: simetría
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Fill in missing translations @ https://wordofthehour.org/r/translations
Fly Drive, Tim Hunkin (2008), The Under The Pier Show, Southwold pier, England
I didn’t ‘enter the mind of a fly’, but did ‘whack a banker’ instead.
‘A mad arcade of home-made machines & simulator rides on Southwold pier, Suffolk, UK’ https://www.underthepier.com/10_current_machines.htm
In mathematics, we sometimes switch between two viewpoints without distinguishing them explicitly. Which causes confusion.
Think of symmetry transformations: The symmetry group of, say, a regular pentagon, consists of those geometrical transformations that leave it unchanged at the same position. So the pentagon does not change? And still there are different transformations?
The answer is that we view the pentagon in different ways when we speak about the symmetry and about the transformations, say with the light switched on and off. For the transformations, we think of the pentagon with markers written on its corners, say with the numbers 0, 1, 2, 3, and 4, so that we can speak of the rotation that maps the corner marked n to the place of corner (n + 2) mod 5. For the symmetry, we switch the light off and cannot see the markers: A symmetry transformation is then one in which we cannot feel any difference before and after the transformation.
The same idea is also in other contexts, for example with the bound variable in a definite integral: An expression like ∫ₐᵇ 𝑓(𝑥) 𝑑𝑥 is interpreted with “light off”, so that we do not see that x is the integration variable, but in our calculations, the “light“ is “on” and x is an ordinary variable that follows some special rules.
My lace cap #hydrangeas are much slower to bloom than all my other hydrangea plants.
It's Symmetry Sunday!
Up close with two of the six massive engaged columns which front Union Station (Jarvis Hunt, 1914), Kansas City, MO.
#KansasCity #Missouri #Architecture #Photography #Monochrome #BlackAndWhite #Detail #Symmetry #FORAPhotography #SymmetrySunday
This is just one of the hundreds of images available for purchase at: https://www.foraphotography.com
#PhotoOfTheDay
Sunrise reflection of Mount Shuksan in Picture Lake.
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