The ballistic ellipse
This is something I found when I was playing around with ballistic trajectories. I wondered what shape you would get if you connected all the apex points of all trajectories, if you only changed the angle and kept the same initial speed.
Surprisingly, you get an ellipse!
The equation for the ellipse is:
x2 / a2 + (y - b)2 / b2 = 1
Where a = v02 / (2g) and b = v02 / (4g). Naturally, v0 is the initial speed and g is the acceleration due to gravity.
In another curiosity, the eccentricity of this ellipse is constant for all values of v0 and g, and this value is e = √3 / 2.
Obviously, I wasn’t the first to find this. A quick search revealed a paper on arXiv from 2004 describing this. Still, it’s a nice little-known curiosity of a classical physics problem.
Bonus points: for which angles does the trajectory contain the foci of the ellipse?
saving this to my “perspective/foreshortening reference” folder.
Its fascinating how geometry can be ascertained from similarities in physical events. Esentially, by grabbing different reference frames from this ballistic phenomenon, you can pull a whole progression of data as it changes over time, represented by progressively morphing two dimensional shapes.
EPIPHYTE CHAMBER BY PHILIP BEESLEY ARCHITECT
Philip Beesley Architect - Epiphyte Chamber is envisioned as an archipelago of interconnected halo-like masses that mimic human sensations through subtle, coordinated movements. Across each floating island, densely interwoven structures and delicate canopies made of thousands of lightweight digitally-fabricated components are drawn together in nearly-synchronized breathing and whispers. Audiences walk into highly sensual, intimate sculptural spaces that support small clusters of activity interlinking into larger gathering areas. This experimental new work explores intersections between media art, interactive distributed mechatronics and synthetic biology.
Epiphyte Chamber is part of the inaugural Aleph Exhibition at the Museum of Modern and Contemporary Art in Seoul, Korea. The Aleph Exhibition opens the gate for creativity and magnifies the minute. The contents of the exhibit illustrate the various complexifying effects that exist anywhere from microorganism to galaxies as can be found through observing stars in the sky or observing symbiotic relationships among objects. The exhibition illustrates how a minute change can lead to drastic variations in the future.
The work is currently on display through March 16, 2014.
Bioplastic Façade Research Project:
The ITKE has many years of experience in teaching and research in the fields of computer based design, simulation, and production of cladding for buildings with complex geometries. Currently, materials made from oil-based plastics, glass, or metal are mainly used to encase these structures. Thermoformable sheets of bioplastics will represent a resource-efficient alternative in the future, as they combine the high malleability and recyclability of plastics with the environmental benefits of materials consisting primarily of renewable resources.
7E Guest Artist - David Letellier
In 3D computer graphics, tessellation is used to manage polygons of an object in a scene. For real-time rendering, an object/shape are tessellated in subdivisions. I love the look of the skeletal structure in render previews for programs like Maya. So when I came across David’s triangulation sculpture, it caught my attention.
Tessel is a collaboration between French composer and artist David Letellier, and LAb[au], Belgian electronic arts studio. He states, “Tessel is constituted of a suspended and articulated topography of 4 x 2 m, subdivided into forty triangles. Twelve of them are fitted with motors and eight are equipped with audio transducers, which transform the surface into a dynamic sonic space. A dialogue between space and sound is created through this sculptural “choreography”. Our perception is altered, as the surface slowly modifies its shape.”
David is a French-born sound artist/kinetic sculptor based in Berlin. He studied and graduated in architecture in Rennes and Berlin. He focuses on the perception of sound and space, on the edge of architecture, sound and art. His work, ranging from audiovisual performances, sound installations, to autonomous machines or conceptual drawings, can be defined as “an attempt to express sound as a form in movement”.
These photos do not do justice. Check out his vimeo. Thank you David for joining 7E!