On his blog MathWithBadDrawings, Ben Orlin reposted a couple of geometrical sangaku-like puzzles by math teacher Catriona Shearer. These are eleven of her personal favorites. If you dare, definitely give them a try!
Transit Across a Purple Sun. What’s the total shaded area?
Shearer’s Emerald. Four squares. What’s the shaded area?
The Pyramid with Two Tombs. Two squares inside an equilateral triangle. What’s the angle?
Setting Sun, Rising Moon. What fraction of the rectangle is shaded?
Hex Hex Six. Both hexagons are regular. How long is the pink line?
Four, Three, Two. What’s the area of this triangle?
The Trinity Quartet. All four triangles are equilateral. What fraction of the rectangle do they cover?
The Falling Domino. This design is made of three 2×1 rectangles. What fraction of it is shaded?
Slices in a Sector. The three colored sections here have the same area. What’s the total area of the square?
Disorientation. The right-angled triangle covers ¼ of the square. What fraction does the isosceles triangle cover?
Sunny Smile Up. What fraction of the circle is shaded?
Of course Saturn brought its ring light.
On June 25, 2023, our James Webb Space Telescope made its first near-infrared observations of Saturn. The planet itself appears extremely dark at this infrared wavelength, since methane gas absorbs almost all the sunlight falling on the atmosphere. The icy rings, however, stay relatively bright, leading to Saturn’s unusual appearance in this image.
This new image of Saturn clearly shows details within the planet’s ring system, several of the planet’s moons (Dione, Enceladus, and Tethys), and even Saturn’s atmosphere in surprising and unexpected detail.
These observations from Webb are just a hint at what this observatory will add to Saturn’s story in the coming years as the science team delves deep into the data to prepare peer-reviewed results.
Download the full-resolution image, both labeled and unlabeled, from the Space Telescope Science Institute.
Make sure to follow us on Tumblr for your regular dose of space!
outra maneira de enxergar a soma de cubos!
É sempre legal dar aulas de derivadas... Principalmente quando os alunos começam a derivar funções compostas 😎
Realmente os matemáticos são muito otimista com relação ao conhecimento, mas isso pode ser frustante para muitos estudantes, pois sem persistência não há como continuar nesse meio!
math problem: *begins with “we know that..”*
me: WE dont know SHIT
😆😆😆
Mais uma para a série: "derivadas alternativas"
bad maths that gives the right answer
Treating a human head the way a globe is treated by the Mercator projection.
Blog do profº Ulysses TDBueno destinado a curiosidades, demonstrações, links, trabalhos, artigos, imagens e tudo que possa mostrar a matemática no mundo.
107 posts