geometrymatters:
diatoms  california academy of sciences geology
1. Biddulphia deodora  Miocene, ph#000058D,scale bar = 10 µm
2. Actinoptychus chenevierei  holotype, Cretaceous, ph#000677D, scale bar = 10 µm
3. Lithodesmium margaritaceum  Cretaceous, ph#000865D, scale bar = 10 µm
4. Aulacodiscus currus  holotype, Eocene, ph#001088D, scale bar = 10 µm
5. Triceratium diversum  holotype, Eocene, ph#001131D, scale bar = 10 µm
6. Triceratium swastika  Cretaceous, ph#000956D, scale bar = 10 µm
Going to look these up now.
(Source: Flickr / casgeology, via beautyandthemaths)
Filed under geometry algae
Filed under pizza funny food
ilovecharts:
Pierre Boulez  Piano Sonata No. 2  I. Extrêmement rapide
Boulez confuses me.
Filed under music video Boulez piano
visualizingmath:
Minimal Surface
In mathematics, a minimal surface is a surface that locally minimizes its area. This is equivalent to having a mean curvature of zero. The term “minimal surface” is used because these surfaces originally arose as surfaces that minimized total surface area subject to some constraint. Physical models of areaminimizing minimal surfaces can be made by dipping a wire frame into a soap solution, forming a soap film, which is a minimal surface whose boundary is the wire frame. However the term is used for more general surfaces that may selfintersect or do not have constraints.
Art by Paul Nylander.
(via visualizingmath)
Filed under minimal surfaces math
adhoption:
riverb:
motherfuckinoedipus:
abnels:
memeguycom:
You win this round cheese
actually that is a rectangle cheese
[oxford comma laughing in the distance]
[vocative comma wondering what oxford comma thinks it’s doing here]
I already reblogged this for the pun but I’m reblogging again for the sick punctuation banter
(via loveyoutrick)
Filed under comma grammar pun cheese relevant in that order
What dynamical system is this? Is it known? Has it been studied?
(Source: mathani)
Filed under math triangles circles dynamics gif
springofmathematics:
Gyroid & Geometry of interfaces: topological complexity in biology and materials: A gyroid is an infinitely connected triply periodic minimal surface discovered by Alan Schoen in 1970. The gyroid separates space into two identical labyrinths of passages. The gyroid has space group Ia3d. Channels run through the gyroid labyrinths in the (100) and (111) directions; passages emerge at 70.5 degree angles to any given channel as it is traversed, the direction at which they do so gyrating down the channel, giving rise to the name “gyroid”. Curiously, like some other triply periodic minimal surfaces, the gyroid surface can be trigonometrically approximated by the equation: sinX.cosY + sinY.cosZ + sinZ.cosX = 0
Applications:
In nature, selfassembled gyroid structures are found in certain surfactant or lipid mesophases and block copolymers. In the polymer phase diagram, the gyroid phase is between the lamellar and cylindrical phases. Such selfassembled polymer structures have found applications in experimental supercapacitors, solar cells and nanoporous membranes. Gyroid membrane structures are occasionally found inside cells: biomimetic materials.
Article  Geometry of interfaces: topological complexity in biology and materials.

Figure 3: Topologically complex porous chitin structure in the wing scales of the butterfly Callophrys Rubi. Light microscopy of the ventral (upper) side of the wings illustrates the arrangement of individual scales on the wings (each several hundreds of micrometres in length). Electron microscopy reveals the structure of the wingscales to consist of two layers of parallel ribs that cover a polycrystalline porous chitin matrix structured according to a single srs net of symmetry I4_{1}32, commensurable with the lattice parameter of biological gyroid membranes.
 The recognition of the chitin matrix as a consolidated threedimensional cubic pattern rather than a twodimensional film lining the gyroid is important. In particular, the spectacular optical features of these wing scales, certainly due in part to the cubic structure of the chitin, are dependent on this structural feature. Also, the porosity of the chitin matrices in the wing scales of this species is tuned to optimize optical effects in vivo, possibly an impressive example of the efficacy of natural selection, rather than simply a coincidental byproduct of the selfassembly process.
 Figure 6: Various views of the gyroid minimal surface. Within each of the two network domains bounded by the gyroid, there are two chiral elements of opposite rotation sense: threefold screw axes along the [111] and, of opposite rotation sense, fourfold screw axes along the [100] axes. The centred skeletal graph is the srs network with threevalent vertices.
 See more at source.
Video: Gyroid by Daniel Piker on Vemeo.
Images: Green Hairstreak (Callophrys Rubi) by Ardeola  The Gyroid triplyperiodic labyrinth  Biology and materials.  Method for constructing the graph in “Gyroids of Constant Mean Curvature” by GrobeBrauckmann.
Filed under minimal surfaces gyroid biology
If someone offers you $1 today, $2 tomorrow, $3 the next day, and so on in perpetuity, watch out! They are trying to steal ^{1}⁄_{12} of a dollar from you…
This is amazing.
(Source: thesummerofmark, via curiosamathematica)
Filed under math series humor zeta function
Filed under math LOTR pun
Filed under math gif polygons construction
mathmajik:
Mathematics and Architecture
The link between math and architecture goes back to ancient times, when the two disciplines were virtually indistinguishable. Pyramids and temples were some of the earliest examples of mathematical principles at work. Today, math continues to feature prominently in building design. We’re not just talking about mere measurements — though elements like that are integral to architecture. Thanks to modern technology, architects can explore a variety of exciting design options based on complex mathematical languages, allowing them to build groundbreaking forms. Take a look at several structures past the break that were modelled after mathematics.
1. Mobius Strip Temple, China
2. TetrahedralShaped Church, Colorado
3. Pentagonal, Phyllotactic Greenhouse and Education Center. The Eden Project, Cornwall
4. A MathematicallyInclined Cucumber in the Sky, London
5. Experimental MathMusic Pavilion, 1958 World’s Fair
6. Modern MusicMath Home, Toronto
7. Solar Algorithm Wizardry, Barcelona
8. Cube Village, Holland
9. Magic Square Cathedral, Gaudi Cathederal, Barcelona
10. Fractal Gas Station Makeover, Los Angeles
http://flavorwire.com
How many of these have you been to?
(Personally, I’ve only seen the Gaudí Sagrada Família church, which isn’t a cathedral btw.)
Filed under math architecture
My activity is “Space Invaders”.