@jamestanton@twitter.com (https://gdaymath.com/) writes (https://twitter.com/jamestanton/status/1613485564006637568):
“It is impossible to draw an equilateral triangle on a square lattice of dots with each vertex on a dot. (Why?) But can we get close?
Is it possible to have two vertices on a dot and the third within 0.00000001 units from a dot?
(The picture is not equilateral.)”
#geometry #math #ContinuedFractions #ApproximateInteger #PicksTheorem
#pickstheorem #approximateinteger #ContinuedFractions #math #geometry
I love the hidden patterns revealed in #ContinuedFractions Here is Euler's number e which is in fact transcendental, whose decimal expansion seems random, but look at the beautiful pattern in the coefficients. From an #Android app I made for myself. #math #numbertheory
#numbertheory #Math #Android #ContinuedFractions
Mathematically, I'm most interested in #NumberTheory (years ago did some research related to #ContinuedFractions). I love the numbers #phi, #pi, and #e, and the various days celebrating them! I enjoy #geometry and #discretemath recreationally too. CS/engineering-wise, I'm most interested in #ai #artificialintelligence and #MachineLearning, #robotics and #automation, #Android #appdev, #cybersecurity, #softwaredevelopment, and more!
#softwaredevelopment #cybersecurity #appdev #android #automation #robotics #machinelearning #artificialintelligence #ai #discretemath #geometry #e #pi #phi #ContinuedFractions #numbertheory
Last few nights I've been working on another mental calculation. In this episode of #CountingSheep, I bring you #PellsEquation and #ContinuedFractions.
#ContinuedFractions #PellsEquation #CountingSheep