I am working on a solar water heater, and I am trying to figure out this geometry problem. I know a parabola is the most efficient movable shape to collect the sun's energy, but what is the most efficient fixed shape? It will clearly change with date and lattitude, but given an average day, what shape focus the most energy onto a heating tube? [more inside]
I kind of doubt this exists, but am asking with a small glimmer of hope: I am looking for white cardstock that has pre-scored fold & cut lines for a dodecahedron. I would be open to other polyhedra as well. I would design a skin for it and print it out using a laser or inkjet printer. The recipient should be able to easily fold it up into a shape. I would like to create about 20 of them. [more inside]
Is there a good (read: well-known/efficient) way to find the "near-miss" intersection of 3 lines in 3D space? The lines almost, but don't quite, cross each other (image in an attempt to illustrate the problem) [more inside]
Suppose you have to install new moulding in a house. Suppose also that it's a huge house with many rooms large and small, and many windows of different size. This means that you end up needing many different lengths of wood... [more inside]
I am doing an art project that requires larger circles to be encircled by smaller circles. Each small circle must touch its larger one and its immediate small neighbors. The small circles must all be the same diameter. I would like to specify the diameter of the large circle and calculate the diameter and number of small circles required to accomplish the desired outcome. My geometry skills have eroded over these many years...help!
I've been chewing on the Fano plane a lot these last few weeks, and have just noticed something that seems really interesting to me. Notably, that the seven lines of the plane map very nicely to the 7-color hexagonal tiling. [more inside]
What would you call the shape of the two-dimensional outline of the two stones (cabochons) circled in red in this picture? [more inside]
I need book recommendations two categories: 1) for myself for review (that are somewhere between high school text books and Spark notes) 2) just straight up textbooks for high school math (algebra i, geometry, algebra ii, trigonometry, pre-calculus) [more inside]
You want to walk 10 blocks north and 10 blocks east. It would be shorter to walk along the hypotenuse, but the same distance to walk 1 block north, then 1 block east, then 1 block north, etc. it seems that if the blocks were infinitesimally short, it would approximate the hypotenuse, but alas, walking 10 blocks in one direction and then 10 blocks in the perpendicular direction is the same as dividing it up. What gives?
I'd like to have polygonal pieces made for an (essentially) flat dissection puzzle similar to this nice-looking tangram set at Shapeways. The pieces are simple, but I could use some guidance / tips on the whole process of bringing them into existence. [more inside]
My eldest child is starting high school. She is in the most advanced math class (a version of geometry) offered by her fairly demanding high school. But my eldest is struggling during the review of algebra -- rate problems, word problems, etc. Concerned because math is cumulative, and I don't want her falling behind. What can I do to help, both with math and with preventing her from becoming discouraged? [more inside]
I'm trying to create a 3D model of a six-sided area of my garden. I know the lengths of each side. Is it possible to work out the exact angle of each corner? Here's a link to a rough picture - note that the labels are correct but the sides and angles aren't to scale. [more inside]
I'm trying to draw a 3D ellipse with a 2.5D graphics engine (Core Animation layers) which allow me to only compose my ellipse with line segments that must be moved into place using rotations and translations. I'm having trouble with the order of operations and can't get it to draw properly. Any graphics gurus or game programmers out there who can help me? [more inside]
A few years ago, I came across the website of a German artist, female, who specialized in creating geometric artwork featuring very fine lines (think sweeping, 1pt lines). The only other things I remember are: 30ish in age, and had a non-standard German name, e.g. not something simple like "Anna Schmid". Anyone know her name and site?
I'm looking for a textual version of a2 + b2 = c2 that is as old as possible, among all the Greek sources. [more inside]
Wizards of Hive, Before I buy that 90" couch from a friend, how can I make sure I'll be able to get it up my L-shaped stairs? Sure, there are a lot of variables. But is there a tool or methodology for figuring this out ahead of time (presuming I know the depth and height of the couch too)? I don't think I have the cardboard to build a mockup. This couch is 50 miles away and can't be returned. Thanks!
I'm drawing/painting a globe (in time lapse, so the sun appears to rise) and trying to figure out what shape, exactly, the longitude (not latitude) lines are when a globe is flattened into a circle (I know I can just trace them, but I've gotten curious). So, the outermost longitude lines are tangent to the circle, they are half-circles, and the centermost line is a straight line from pole to pole, it's the progressively flatter curves in between that I'm trying to figure out. Do they have a name? Are they catenaries? Are they the curves of progressively larger circles? How do I construct them (easily)? Example image: HERE
Here’s a simple computational geometry problem. I am trying to figure out the value at an point of two line segments based off of the values at both of one of the segment’s endpoints. The problem is that I don’t exactly know the
best way of going about finding the value at one of those points.
Here is a reference figure.
(X_C, YC) = F_C
(X_D, YD) = F_D
How can I calculate the value of F_E, where F_E = (X_E, Y_E), where E is the point on the segment CD, where CD intersects with the line AB?
(Extraneous details inside) [more inside]
Help me remember this old video series that used early computer/video animation to illustrate geometry/calculus concepts. [more inside]
Math is hard. Please help me with a slope-related problem. [more inside]
Are there an infinite number of 2D shapes? [more inside]
Calling geographers: has anyone applied the idea of topological prominence to population density? [more inside]
HTML5 canvas question: I'm trying to model a 2D grid in 3D space and it's not working right. Can you help? [more inside]
What is this geometric figure? Is there a name for the figure inscribed in the circle here?
Looking for tips on implementing drag and drop that snaps to the nearest point on a polygon. [more inside]
Help me to learn math as an adult when I still despise the frustrating beast from my childhood! [more inside]
I'm looking for an awesome video/discussion topic that relates to street maps - something appropriate for a HS geometry course. [more inside]
I have forgotten basically all of math, and I want to learn it again from the ground up. [more inside]
Consider two rings that are intertwined. (These lie in 3-dimensional space, but when you draw it on paper it looks like a venn diagram.) In 3-dimensional space they cannot be unlinked. The questions is, if you had one more dimension, can you unlink them?
Geometry question -> Determine X and Y from distance along a straight line, or, how do I find the lengths of A and B if I know the length of C and the ratio of A to B in a right triangle? [more inside]
I'd like to be able to watch the Macy's fireworks from my dad's roof on the Upper West Side. How can I figure out if I'll be able to see them? I have some variables, heights, distances, and video... [more inside]
Identify triads in writing? [more inside]
How does walking around on a hyperbolic plane differ from a euclidean one? [more inside]
Could someone help me with this geometry problem? Cylinder with a plane bisecting it at a 45° angle... [more inside]
I'm writing a graphics app where I'm generating a simple gear transmission system with a variable number of gears each with variable number of teeth and placed at random orbits around each other. I generate gears in succession, placing and rotating each with respect to its parent/driver gear before moving on to the next. The problem I'm having is how to determine the initial orientation of each subsequent gear such that its teeth are properly meshed with that of its driver. [more inside]
Given a set of points on a plane (or in a bounded region), how do I find the radii of circles centered at each point that provide the best covering? [more inside]
What is this shape (the one in white) called?
How should I colour each isocoles tetrahedron in a chain of 24 using three colours, so that when I fold up the chain into a rhombic dodecahedron each rhombic face is a single colour and is different to its neighbours? [more inside]
I want a flat, rectangular image that is a cylindrical map projection of the edges of a icosidodecahedron. How do I make one? [more inside]
Cutting an 8" circle? [more inside]
I'm trying to find a website that teaches vector mathematics in lesson form. [more inside]
MathFilter: Is there a relationship between the number of dimensions in a Euclidean space and the number of regular tessellations of that space? [more inside]
Where can I find free geometry text diagram creating software? Even not so free software seems to not do what I want. I want to be able to draw simple plane geometry figures (e.g. right triangles) with markings (e.g. to indicate lines are perpendicular or angles are equal) and labels (e.g. of a line's length or the name of an angle) and such. [more inside]
Contemporary Geometry: does it exist? [more inside]
What is the graph or plot called which: - is an equilateral triangle - has three axes - each axes is perpendicular to a side of the triangle? [more inside]
Geometry Wars Filter: Help configure Nyko Airflo PC game controller for Geometry Wars Retro Evolved (PC) [more inside]
Photoshop Question: is there a way to get a count of pixels contained within any (irregularly shaped) selection/layer?
Photoshop Question: is there a way to get a count of pixels contained within any (irregularly shaped) selection/layer? [more inside]
How can I estimate the time that a photo was taken? [more inside]
What software can I use to make a photo collage using non-rectangular photos? [more inside]
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