# MISSING SQUARE PUZZLE

Note by Rishabh Jain
4 years, 3 months ago

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*italics* or _italics_ italics
**bold** or __bold__ bold
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• bulleted
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1. numbered2. list
1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
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    # I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in $$...$$ or $...$ to ensure proper formatting.
2 \times 3 $$2 \times 3$$
2^{34} $$2^{34}$$
a_{i-1} $$a_{i-1}$$
\frac{2}{3} $$\frac{2}{3}$$
\sqrt{2} $$\sqrt{2}$$
\sum_{i=1}^3 $$\sum_{i=1}^3$$
\sin \theta $$\sin \theta$$
\boxed{123} $$\boxed{123}$$

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Referring to the 4 piece assemblies (red, blue, yellow, green pieces), it only looks like 3 sided triangles are formed in each case, with one extra square in the 2nd. But in fact the slope of the red piece is 0.375 while the slope of the blue piece is 0.400. Consequently, the first figure is actually not a convex figure, while the 2nd figure bulges outward. The difference is just enough to account for that extra square.

In other words, do the math, and don't just trust what your eyes say.

- 4 years, 3 months ago

See this .

- 4 years, 3 months ago