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How many squares in a rectangle?

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#elementary-number-theory #rectangles #dissection
377
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Transforming a 8x8, 4x4 and 1x1 square into a 9x9 square

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#puzzle #transformation #dissection
8.3k
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Splitting equilateral triangle into 5 equal parts

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#geometry #dissection
197
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Dissecting a polyomino to tile a copy rotated $45^\circ$ and scaled by $\sqrt{2}$

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#combinatorics #open-problem #polyomino #dissection
502
Views

Can an equilateral triangle be dissected into 5 congruent convex pieces?

Published on
#geometry #tiling #dissection
336
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Generalizing the Borsuk problem: How much can we shrink a planar set of diameter 1 by cutting it into $k$ pieces?

Published on
#geometry #reference-request #combinatorial-geometry #dissection
201
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Is there a "nice" rep-tile of order $6$?

Published on
#geometry #recreational-mathematics #tiling #dissection
643
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How many "prime" rectangle tilings are there?

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#geometry #tiling #rectangles #oeis #dissection
67
Views

How to minimize exposed surface for half a pie?

Published on
#geometry #plane-geometry #plane-curves #dissection
193
Views

Are there "close" solutions to Hilbert's third problem?

Published on
#geometry #reference-request #polyhedra #dissection
76
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Dividing an equilateral triangle into equal parts

Published on
#geometry #triangles #combinatorial-geometry #dissection
91
Views

Dividing a disk of diameter 1 into pieces of smaller diameter

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#geometry #euclidean-geometry #combinatorial-geometry #dissection
685
Views

Dissection of equilateral triangle into square with flipping pieces - variation of Henry Dudeney's problem

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#geometry #triangles #tessellations #dissection
97
Views

Two dissection problems for rectangles

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#combinatorics #tiling #rectangles #dissection
637
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A regular tetrahedron can be dissected into $1,2,3,4,6,8,12,$ or $24$ congruent pieces. Is this it?

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#geometry #3d #tiling #dissection

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