Mathematical Palette

Mathematical Palette

A celebration of mathematical art, beauty, and wonders.

The Marvels of the Platonic Solids

Regular polygons are polygons whose side lengths are equal. The regular polygons with three, four, five, and six sides are shown below.

Regular Polygons

Regular polygons are special because they have congruent sides, congruent angles, and have at least one line of symmetry.  Aside from those shown above, we can create more regular polygons, and it is not hard to see that we can create as many as we please.

In three dimensions, we have also regular solids which we call Platonic solids. They are solids whose faces are regular polygons and with the same number of faces meeting at each vertex. Unlike regular polygons, there are only five Platonic solids, and it can be shown mathematically that no other Platonic solids exist. Continue reading →

Amazing Number Patterns Part 1

Last February, I have written a post about mathematics as a science of patterns. The number patterns below affirm that notion.

1 x 8 + 1 = 9
12 x 8 + 2 = 98
123 x 8 + 3 = 987
1234 x 8 + 4 = 9876
12345 x 8 + 5 = 98765
123456 x 8 + 6 = 987654
1234567 x 8 + 7 = 9876543
12345678 x 8 + 8 = 98765432
123456789 x 8 + 9 = 987654321

1 x 9 + 2 = 11
12 x 9 + 3 = 111
123 x 9 + 4 = 1111
1234 x 9 + 5 = 11111
12345 x 9 + 6 = 111111
123456 x 9 + 7 = 1111111
1234567 x 9 + 8 = 11111111
12345678 x 9 + 9 = 111111111
123456789 x 9 +10= 1111111111

9 x 9 + 7 = 88
98 x 9 + 6 = 888
987 x 9 + 5 = 8888
9876 x 9 + 4 = 88888
98765 x 9 + 3 = 888888
987654 x 9 + 2 = 8888888
9876543 x 9 + 1 = 88888888
98765432 x 9 + 0 = 888888888

This is just the start of this series. I will post more amazing number patterns soon.

The Mathematics of Men and Women

Einstein’s Attempt to Understand Women

einstein and women

Romance Mathematics

Smart man + smart woman = romance

Smart man + dumb woman = affair

Dumb man + smart woman = marriage

Dumb man + dumb woman = pregnancy

Shopping Mathematics

A man will pay $2 for a $1 item he needs.

A woman will pay $1 for a $2 item that she doesn’t need.

General Equations and Statistics

A woman worries about the future until she gets a husband.

A man never worries about the future until he gets a wife.

A successful man is one who makes more money than his wife can spend.

A successful woman is one who can find such a man.

Married men live longer than single men do, but married men are a lot more willing to die.

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Note: These funny poster and jokes were forwarded to me via email. I cannot trace their authors, so I do not know to whom I will attribute them. Please inform me in case you know their origins.