Friendly Sparkling Alien Spaceships

I know, I am again using this metaphor! But once I saw the friendly alien spaceships in these images, I could not unsee them! There is more background information about these sparkling ellipsoid and spheres in my previous post. Today I only want to show you number 2 and 3 in this series of four ... add create overdue poetry! In a private browser window, I am searching for "Friendly Sparkling Alien Spaceships" in DuckDuckGo. Visiting each search result one after the other, I pick a short […]

https://elkement.art/2025/12/11/friendly-sparkling-alien-spaceships/

Bumblebees and Ellipsoids (Poinsot’s Paper Spaceship #3)

In the movie Ice Age, Manny the Mammoth says he is not fat - just poofy! It is just the fur! I feel the same must be true for bumblebees - they are fluffy, but not really fat! And yes, these were the things going through my mind, when I created this geometric drawing: A sphere is intersected by a "fat" ellipsoid that is neither an oblate UFO nor an elongated zeppelin. Poinsot's Paper Spaceship #3 - Bumblebee by elkement 2025. Geometric drawing of an ellipsoid intersecting a sphere […]

https://elkement.art/2025/07/25/bumblebees-and-ellipsoids-poinsots-paper-spaceship-3/

Geometry of the Physics of the Gyroscope – on a Coffee Mug!

Construct the Labyrinth from Which You Plan to Escape ... has been the motto of the Oulipo movement, French writers and mathematicians who have boosted their creative writing by imposing arbitrary constraints. I had practiced Oulipo long before I knew the term. I just called it Search Term Poetry or Spam Poetry. I have been picking unedited snippets from text, presented by search engines mostly. Creativity flows like a river, constrained by topography and guided by […]

https://elkement.art/2025/11/11/geometry-of-the-physics-of-the-gyroscope-on-a-coffee-mug/

Unsere private Exkursion während der #Intergeo 2025, Frankfurt, ging auf den Großen Feldberg. Der dort stehende Gradmessungspfeiler erinnert an die Europäische Gradmessung 1868. #Pylone #INTERGEO2025
Diese Messung wurde von dem Geodäten Johann Jacob Baeyer (1794-1885) initiiert.
Die Ergebnisse dienten zur genaueren Festlegung der Werte des Erd- #Ellipsoid |s. (Äquatorhalbachse, Polhalbachse, Erdabplattung)
Damals gab es aber sicherlich besseres Wetter und eine bessere Sicht!

There's a metal dome over the bar at Kilkenny in Hackeschermarkt that I always wondered if it would act as one of those "two points in an partial ellipsoid can hear each other really well" audio effect...

... and I've finally ended up standing right in that locus for the waiter station across the bar and now the bar staff chitchat is appearing right inside my head.

#Berlin #StPatricksDay #PubCrawl #Ellipsoid #Audio #ConicSections #Guinness

See https://pixelfed.social/p/Splines/796798349526747214 and https://pixelfed.social/p/Splines/796786779066451143 for detail.

Just like #ArcZero in the #spiral for the #IonicVolute, the plan for #EggsAndDarts starts out larger than what is eventually used.

The outermost frame is 7.5 parts or 60 units tall (from A to D), and 5 parts or 40 units wide when µ = 144. The innermost frame is 6 parts or 48 units tall (from B to C), and 4 parts or 32 units wide.

The height and width for both inner and outer are in 3:2 ratio. The difference in height is also split in the ratio 3:2. So, the gap between A and B as 12*2/5 = 4.8, and the gap between C and D as 12*3/5 = 7.2. We then divide both of these gaps in 5 equal segments shown by the dots between them.

Create an ellipse to fill the outer frame, and another to fill in the inner frame. Then interpolate them to create 4 more through the dots, only to delete the 3rd ellipse. This gives us the 5 #rails for sweeping the rim of the egg.

Create circles perpendicular to and touching adjacent pairs of rails, and then #sweepTwoRails using the circles to get the rim shown in the top-right. The red cutting plane marks tentative slicing for eggs.

The bottom left image shows a convex egg created with an #ellipsoid that is 48 units tall, 32 units wide, and 32 units deep. This is equivalent to #revolving the innermost ellipse around its major axis. Only half of this egg is above the oval slab.

The bottom right image shows the concave variant which is created by performing a #booleanDifference between the oval slab and the round egg created above. The top portion of the egg is removed in the concave variant, but the convex variant must still account for the bulge of a fully round egg. As such, the slab heights of the convex and concave variant are different. I will show the measurements later.

To create the slabs for the convex and concave variants, #extrude the outermost ellipse according to their measurements and #cap #planarHoles.
Splines (@Splines@pixelfed.social)

#Ovolo with a composite of both concave and convex eggs as seen from the bottom. For a perspective view, see https://pixelfed.social/p/Splines/796790115584241591. As I will show later, all of this is created using just straight lines and circular or elliptical arcs. Even though I used an oval as the starting point for the eggs, note their striking resemblance with natural eggs — with ends that taper off toward the bottom. This is due to the nature of the Ovolo surface, which is shaped like a bowl where the bottom radius is less than the top radius. So, when the egg is laid on this surface, it "flows" with the contours of that surface, and its bottom end is thereby tapered. Also note that in this view, the top of the eggs appear round, but they are in fact sliced, just like the rippled rim and the surrounding darts.

Pixelfed
Astronomers Employ Novel Technique for Searching for Alien Technosignatures
https://www.sci.news/astronomy/seti-ellipsoid-12682.html #SETI #Ellipsoid #Alien #Technosignatures #Gaia #TESS
Astronomers Employ Novel Technique for Searching for Alien Technosignatures | Sci.News

Technosignatures are any measurable property that may provide evidence of extraterrestrial technology.

Sci.News: Breaking Science News

The Struve Geodetic Arc is a chain of 256 triangulation points, established between 1816 and 1864, stretching from northern Norway to the Black Sea, to measure the flattening of the Earth's ellipsoid #ellipsoid

https://blog.datawrapper.de/struve-geodetic-arc/

Struve's flat(ter) Earth - Datawrapper Blog

In the first Map Story we met Eratosthenes, who tried to calculate the size of the Earth almost 2300 years ago (and got really pretty close). Today we’ll meet

Datawrapper Blog
Earth Is a Potato
Gravitationally speaking
Earth, in fact, is an ellipsoid, a little bit squashed at the poles and fat around the equator, not to mention speckled with mountain ranges. And then you have the geoid people—the ones who think of Earth less as an imperfect sphere and more as a lumpy potato.
https://www.theatlantic.com/science/archive/2023/07/earth-shape-geoid-gravitational-influence/674664/?utm_source=feed #earth #potato #gravitationally #sphere #ellipsoid #geoid #LumpyPotatoid
Consider Potato Earth

Gravitationally speaking

The Atlantic

@mattblaze
An #ellipsoid . Just as a 2D #ellipse has two focal points, the 3D ellipsoid has two regions of strong focus. Sound or rays from one focus pt will focus at the 2nd
point and vice versa.

For #math geeks, look up the 2 foci property of ellipsoids.