For pairs of lips to kiss maybe Involves no trigonometry. 'Tis not so when four circles kiss Each one the other three. To bring this off the four must be As three in one or one in three. If one in three, beyond a doubt Each gets three kisses from without. If three in one, then is that one Thrice kissed internally.
Four circles to the kissing come. The smaller are the benter. The bend is just the inverse of The distance from the center. Though their intrigue left Euclid dumb There's now no need for rule of thumb. Since zero bend's a dead straight line And concave bends have minus sign, The sum of the squares of all four bends Is half the square of their sum.
To spy out spherical affairs An oscular surveyor Might find the task laborious, The sphere is much the gayer, And now besides the pair of pairs A fifth sphere in the kissing shares. Yet, signs and zero as before, For each to kiss the other four The square of the sum of all five bends Is thrice the sum of their squares.
Success! New Amazon link suddenly appears every time I am near, just like me it wants to be close to me. OnthedaythatIwasborn theangelsgottogether anddecidedtocreateadreamcometure
15 comments:
"fun math" is a link.
That gamepuzzles.com sells things that make great gifts. Everyone likes them.
And Clementi as a reward. Nice.
I played the mini-lamond ring. I struggled at first, but then I realized the shapes can be rotated.
weee!
I couldn't figure out how to make them rotate. I know it says hold down right arrow key...but then what?
Here's a combination of math and poetry:
The Kiss Precise by Frederick Soddy
For pairs of lips to kiss maybe
Involves no trigonometry.
'Tis not so when four circles kiss
Each one the other three.
To bring this off the four must be
As three in one or one in three.
If one in three, beyond a doubt
Each gets three kisses from without.
If three in one, then is that one
Thrice kissed internally.
Four circles to the kissing come.
The smaller are the benter.
The bend is just the inverse of
The distance from the center.
Though their intrigue left Euclid dumb
There's now no need for rule of thumb.
Since zero bend's a dead straight line
And concave bends have minus sign,
The sum of the squares of all four bends
Is half the square of their sum.
To spy out spherical affairs
An oscular surveyor
Might find the task laborious,
The sphere is much the gayer,
And now besides the pair of pairs
A fifth sphere in the kissing shares.
Yet, signs and zero as before,
For each to kiss the other four
The square of the sum of all five bends
Is thrice the sum of their squares.
Published in Nature, June 20, 1936
Click on a piece to select it. Don't hold down, just press the right arrow key to rotate the selected piece.
Deborah - left click on the object once. You will see a rainbow circle on the object. Use the arrow keys on your keyboard to rotate.
Hexnut jr. is kicking my bottom.
~~Puzzlin' you is the nature of my game~~
Success! New Amazon link suddenly appears every time I am near, just like me it wants to be close to me. OnthedaythatIwasborn theangelsgottogether anddecidedtocreateadreamcometure
Thx Freeman and April.
what's ture, Chip?
Quintapaths is consuming me.
And just as I type that, the bits and bytes smile upon me. Hooray!
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