Questions tagged [geometry]
A puzzle related to shapes, geometric objects (polygons, circles, solids, etc.) of any number of dimensions, the relative position of figures, and the properties of space. Use with [mathematics]
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Dissect the figure into two congruent parts.
Dissect the figure into two congruent parts.
Clarifications:
Shape ABCD is a square.
Points A, B and E are collinear.
Circular arc AE has center C and radius marked with the arrow.
Attribution:
May/...
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Dividing a hexagon into 4 identical regions
Building on other questions here (9 or 5, 7 & 11), I would like to ask: can you divide a regular hexagon into 4 identical regions. Same shape & area, and not mirror images of one another? Or ...
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3D Packing Puzzle: Can 17 Mixed-Size Blocks Fill a Cube?
You are given a cube-shaped box with dimensions 5×5×5. Your task is to determine whether the following blocks can be arranged to fit perfectly inside the box without any gaps or overlaps:
5 blocks of ...
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Dividing a hexagon into 5, 7 or 11 equal regions
Can you divide a regular hexagon into 5, 7 or 11 regions of equal shape and area?
The regions may be mirror images. They should be connected, but if it is not possible then I would like to see ...
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Dividing a hexagon into 9 equal regions
Can you divide a regular hexagon into 9 regions of equal shape and area?
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πthagoras cycloid angle
See:
https://www.geogebra.org/classic/arvz3m7d
where you have black slider to draw a blue cycloid by running the yellow-cyan circle with radius $1$ from distance $0$ to distance $2 \pi$.
The green ...
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origami: t2 unsolvable? cube net
The objective is to fold the shape into a rectangle with uniform thickness 2. There are no restrictions on how many folds you can make, how long each fold can be, where the fold can be, et cetera.
In ...
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I count fractions of rotation and have two digits, what AM I?
I count fractions of rotation and have two digits, what AM I?
I use letters over digits.
I don't use a pair of digits for my most significant digit from one of my series.
I can use any one of my ...
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Hendecagon and Circles
Inspired by PSE#131293 Two circles and a pentagon and its predecessors, here's a hendecagon puzzle:
The red circle's diameter is the bottom hendecagon side and its radius equals 1. The green circle ...
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Two circles and a pentagon
Two circles, green and red, are placed in a regular pentagon as shown below. The circles are vertically aligned and touch each other. The base of the pentagon is the diameter of the red circle and the ...
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A cube somewhere around (Part 2)
My previous puzzle about this cube was found to be ambiguous, as the answer given by Bass was a perfectly correct, but completely unintended solution to it. Thus, as suggested in the comments, as per ...
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A cube somewhere around
This puzzle is ambiguous, as the answer posted by Bass is a perfectly correct, but completely unintended solution to it. Thus, as suggested in this meta post, I am accepting the answer given by Bass, ...
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A slightly late April Fools Origami Set
I have made a special April Fools edition of origami puzzles continuing the tradition from last year.
The objective is to fold a shape into a rectangle with uniform thickness. The thickness will be ...
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Origami Checkerboard
Prove using induction that, for all positive integers m and n, there exists large enough positive integers x and y such that you can fold a m × n paper with checkerboard patterns on at least one side ...
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Quarter circle geometry
A cute geometric puzzle I saw here. (Not the prime source, Facebook "Geometria Super Top" group was credited.) Orange is a quarter circle. Compute the ground line.
The answer is easy to do ...
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