• R I O A E T L U
→ Herriot a été élu.
• L N N E O P Y I A V Q E I E D C D
→ Hélène est née au pay grec, y a vécu et y est décédée.
• J J A D I D A C K O T L A H E T D B K C D G A L E V D I N C P I E D F I J E C O Q P D B B A J T
→ Gigi a des idées assez cahotées: elle a acheté des bécasses et des geais, a élevé des hyènes, s’est payé des effigies et s’est occupée des bébés agités.
• From John Julius Norwich’s More Christmas Crackers (1990)
Construction of a Sierpiński tetrahedron (from WikiMedia)
Post-Performative Post-Scriptum
The toxic title of this incendiary intervention radically references George Harrison’s album Extra Texture (1975).
Errantes silva in magna et sub luce maligna
inter harundineasque comas gravidumque papaver
et tacitos sine labe lacus, sine murmure rivos,
quorum per ripas nebuloso lumine marcent
fleti, olim regum et puerorum nomina, flores.
• Cupido Cruciatur, Decimius Magnus Ausonius (c.310-c.395)
They wander in deep woods, in mournful light,
Amid long reeds and drowsy headed poppies,
and lakes where no wave laps, and voiceless streams,
Upon whose banks in the dim light grow old
Flowers that were once bewailed names of kings.
• translated by Helen Waddell in her Medieval Latin Lyrics (1929)
Imagine two points moving clockwise around the circumference of a circle. Find the midpoint between the two points when one point is moving twice as fast as the other. The midpoint will trace this shape:
Midpoint of two points moving around circle at speeds s and s*2
(n.b. to make things easier to see, the red circle shown here and elsewhere is slightly larger than the virtual circle used to calculate the midpoints)
Now suppose that one point is moving anticlockwise. The midpoint will now trace this shape:
Midpoint for s, -s*2
Now try three points, two moving at the same speed and one moving twice as fast:
Midpoint for s, s, s*2
When the point moving twice as fast is moving anticlockwise, this shape appears:
Midpoint for s, s, -s*2
Here are more of these midpoint-shapes:
Midpoint for s, s*3
Midpoint for s, -s*3
Midpoint for s*2, s*3
Midpoint for s, -s, s*2
Midpoint for s, s*2, -s*2
Midpoint for s, s*2, s*2
Midpoint for s, -s*3, -s*5
Midpoint for s, s*2, s*3
Midpoint for s, s*2, -s*3
Midpoint for s, -s*3, s*5
Midpoint for s, s*3, s*5
Midpoint for s, s, s, s*3
Midpoint for s, s, s, -s*3
Midpoint for s, s, -s, s*3
Midpoint for s, s, -s, -s*3
But what about points moving around the perimeter of a polygon? Here are the midpoints of two points moving clockwise around the perimeter of a square, with one point moving twice as fast as the other:
Midpoint for square with s, s*2
And when one point moves anticlockwise:
Midpoint for square with s, -s*2
If you adjust the midpoints so that the square fills a circle, they look like this:
↓
Midpoint for square with s, s*2, with square adjusted to fill circle
When the red circle is removed, the midpoint-shape is easier to see:
Midpoint for square with s, s*2, circ-adjusted
Here are more midpoint-shapes from squares:
Midpoint for s, s*3
Midpoint for s, -s*3
Midpoint for s, s*4
And some more circularly adjusted midpoint-shapes from squares:
Midpoint for s, s*3, circ-adjusted
Midpoint for s*2, s*3, circ-adjusted
Midpoint for s, s*5, circ-adjusted
Midpoint for s, s*6, circ-adjusted
Midpoint for s, s*7, circ-adjusted
Finally (for now), let’s look at triangles. If three points are moving clockwise around the perimeter of a triangle, one moving four times as fast as the other two, the midpoint traces this shape:
Midpoint for triangle with s, s, s*4
Now try one of the points moving anticlockwise:
Midpoint for s, s, -s*4
Midpoint for s, -s, s*4
If you adjust the midpoints so that the triangular space fills a circle, they look like this:
Midpoint for s, s, s*4, with triangular space adjusted to fill circle
Midpoint for s, -s, s*4, circ-adjusted
Midpoint for s, s, -s*4, circ-adjusted
There are lots more (infinitely more!) midpoint-shapes to see, so watch this (circularly adjusted) space.
Previously pre-posted (please peruse)
• We Can Circ It Out — more on converting polygons into circles
Forms: Old English cyta, Middle English kete, kijt, kuytte, Middle English kuyte, Middle English–1600s kyte, (1500s kight, kighte, kyght, Scottish kyt), Middle English kite.
Etymology: Old English cýta ( < *kūtjon-); no related word appears in the cognate languages.
1. A bird of prey of the family Falconidæ and subfamily Milvinæ, having long wings, tail usually forked, and no tooth in the bill.
2. [ < its hovering in the air like the bird.] A toy consisting of a light frame, usually of wood, with paper or other light thin material stretched upon it; mostly in the form of an isosceles triangle with a circular arc as base, or a quadrilateral symmetrical about the longer diagonal; constructed (usually with a tail of some kind for the purpose of balancing it) to be flown in a strong wind by means of a long string attached. Also, a modification of the toy kite designed to support a man in the air or to form part of an unpowered flying machine. — Oxford English Dictionary
Sommeraften på Skagen Sønderstrand (1893), Peder Severin Krøyer (1851-1909)
(click for larger)
Elsewhere other-accessible…
• Summer Evening on Skagen’s Southern Beach — more about the painting
[In the plane] We hurried past the great bay at the northern end of Santo, down the eastern side of the island, well clear of its gaunt, still unexplored mountains. The morning sun was low when we passed the central part of Santo, and I can still recall the eerie effect of horizontal shadows upon the thickest jungle in the South Pacific. A hard, forbidding green mat hid every feature of the island, but from time to time solitary trees, burdened with parasites, thrust their tops high above the mat. It was these trees, catching the early sunlight, that made the island grotesque, crawling, and infinitely lonely. Planes had crashed into this green sea of Espiritu and had never been seen again. Ten minutes after the smoke cleared, a burnt plane was invisible. — James A. Michener evokes H.P. Lovecraft in the short-story “Wine for the Mess at Segi” from Tales of the South Pacific (1947)
L’ange du silence sur la tombe du comte Robert de Montesquiou à Versailles (Wikipédia)
Overlord In Terms of Core Issues Around Maximal Engagement with Key Notions of the Über-Feral 
