Geometric Transformation Puzzles
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Geometric Transformation Puzzles
1–10 of 16 posts
Re: Geometric Transformation Puzzles
#2Given the solution, a fish was a great choice of shape.
Re: Geometric Transformation Puzzles
#3Neat idea, but the interface as is feels super clunky. For example, the undo button on the first question causes my reflection controls to disappear. I'm off by half a point, but I can't quickly iterate to find the right answer. For the second one, I imagine a click and drag interface would do pretty well, where I click the origin and drag a distance equal to the dilation.
It's a great interactive puzzle either way. I imagine that making it more highly interactive would be a great way to help kids get better at spatial reasoning.
Re: Geometric Transformation Puzzles
#4Neat idea, but the interface as is feels super clunky. For example, the undo button on the first question causes my reflection controls to disappear. I'm off by half a point, but I can't quickly iterate to find the right answer. For the second one, I imagine a click and drag interface would do pretty well, where I click the origin and drag a distance equal to the dilation. It's a great interactive puzzle either way.…
the click and drag dilation is introduced in later puzzles
Re: Geometric Transformation Puzzles
#5Neat idea, but the interface as is feels super clunky. For example, the undo button on the first question causes my reflection controls to disappear. I'm off by half a point, but I can't quickly iterate to find the right answer. For the second one, I imagine a click and drag interface would do pretty well, where I click the origin and drag a distance equal to the dilation. It's a great interactive puzzle either way.…
Agreed, though they did the dilation interface idea basically for the third puzzle, and it didn't feel significantly better. I would like to see maybe the math for the current transformation, as it would make it feel more like a puzzle that I could solve and work out an elegant solution to, rather than a guess and check thing where I eventually get it after some ugly combination of steps.
Re: Geometric Transformation Puzzles
#6I found puzzles involving dialation to be quite annoying.
Consider this solution for the third puzzle of Transformation Puzzles 2:
Reflection over the line from (1.5,-1.5) to (-1.5,1.5)
Dilation of scale 256 about (2.5,2.5)
Reflection over the line from (1.5,-1.5) to (-1.5,1.5)
Dilation of scale 1/256 about (2.5,2.5)
Re: Geometric Transformation Puzzles
#7Neat idea, but the interface as is feels super clunky. For example, the undo button on the first question causes my reflection controls to disappear. I'm off by half a point, but I can't quickly iterate to find the right answer. For the second one, I imagine a click and drag interface would do pretty well, where I click the origin and drag a distance equal to the dilation. It's a great interactive puzzle either way.…
I took me forever to figure out how to execute the reflection (which is to click on the arrows that point to the dash-line after you position it by dragging.) But it might be from being dropped in the middle instead of going through the sequences.
Re: Geometric Transformation Puzzles
#8Neat idea, but the interface as is feels super clunky. For example, the undo button on the first question causes my reflection controls to disappear. I'm off by half a point, but I can't quickly iterate to find the right answer. For the second one, I imagine a click and drag interface would do pretty well, where I click the origin and drag a distance equal to the dilation. It's a great interactive puzzle either way.…
Thanks for the feedback!
The undo button thing would be a huge improvement; I'll fix that. (Also, if you do two transformations that cancel each other out, it will notice and remove both rather than adding two. So you can actually undo a reflection by clicking the reflector again.)
As some other comments have pointed out, you might have seen the text based dilation, which is used for one of the problems for a specific reason :). The dragging dilation tool is far from perfect, but is a bit closer to what you described.
Re: Geometric Transformation Puzzles
#9Neat idea, but the interface as is feels super clunky. For example, the undo button on the first question causes my reflection controls to disappear. I'm off by half a point, but I can't quickly iterate to find the right answer. For the second one, I imagine a click and drag interface would do pretty well, where I click the origin and drag a distance equal to the dilation. It's a great interactive puzzle either way.…
Agreed, though they did the dilation interface idea basically for the third puzzle, and it didn't feel significantly better. I would like to see maybe the math for the current transformation, as it would make it feel more like a puzzle that I could solve and work out an elegant solution to, rather than a guess and check thing where I eventually get it after some ugly combination of steps.
Yeah the second problem was easy to solve with a dilation of -1 about the origin, but then I couldn't do a negative number through the drag interface.
Re: Geometric Transformation Puzzles
#10I found puzzles involving dialation to be quite annoying. Consider this solution for the third puzzle of Transformation Puzzles 2: Reflection over the line from (1.5,-1.5) to (-1.5,1.5) Dilation of scale 256 about (2.5,2.5) Reflection over the line from (1.5,-1.5) to (-1.5,1.5) Dilation of scale 1/256 about (2.5,2.5) You are unable to visibly discern a difference between the two shapes after this, but the interface r…
First, I'm very sorry about that!
Second, wow, a scale factor of 256! Off the top of my head it might be numerical error building up. If that's the case, I'm very sorry. (It's also sometimes possible to get infinitesimally close to the target without technically reaching it mathematically, in which case the interface unfortunately looks like the answer is correct, when it's not.)
All of the puzzles are solvable with dilations of scales only 2 or 1/2.