#geometry
“Hey baby, I’m from an oblate sphereoid, I hear you’re from a triaxial ellipsoid…wanna get our focal curves tangled up?”
- an odd Earthling hitting on a Martian.
Planar modular origami mania from 2- to 9-pointed stars.
Yes, I did make the 90-unit QRSTUVWXZ Stars (top left) but it didn’t work as well as I wanted so I made XYZ Stars (centre) to complete the collection.
#cats #CatsOfMastodon #geometry
Tuesday is #ellipticat day, correct?
Meschers: Geometry Processing of Impossible Objects
Vintage floor tiles, Refreshment room, Carnforth railway station, England.
Brief Encounter (1945) was partly filmed at Carnforth railway station.
“At two points in the film, platform signs indicate local destinations such as Leeds, Bradford, Morecambe and Lancaster, even though Milford is intended to be in the home counties.” https://en.wikipedia.org/wiki/Brief_Encounter#Production
#TilingTuesday - #Hexagon decomposed into 288 kites.
A design by @DaniLaura on last Tuesday inspired this design :)
Monohedral skew kite tiling of a surface embedded around a diamond lattice.
The tiling is the dual tessellation of a partial Cayley surface complex of the group:
G = ⟨ f₁, f₂, t₁ | (t₁)³, (f₁f₂)³, (f₂)², (f₁f₂t₁⁻¹)², (f₁t₁f₂t₁)³, (f₁)² ⟩
Jitterbug, one of my best-known origami creations.
Geogebra file: https://www.geogebra.org/m/wsxthyaz
Origami instructions: http://foldworks.net/wp-content/uploads/2018/06/jitterbug.pdf
I first came across Buckminster Fuller’s Jitterbug in Amy C. Edmondson’s A Fuller Explanation (1987).
As I didn’t have dowels and four-way rubber connectors, I made several cuboctahedra that worked as Jitterbugs but were not very reversible. Some were from paper and others from drinking straws and elastic thread. This modular origami version is the most recent version.
Illustration by Charles Hinton, from The Fourth Dimension (1904).
Source: University of Toronto Libraries / Internet Archive
https://pdimagearchive.org/images/27679690-00ae-4c19-a1a0-71605d9f9d54
A convex polyhedron without Rupert's property
Escheresque.