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Guest Message by DevFuse

# Perhaps check it again

Member Since 02 Dec 2013
Offline Last Active Today, 12:41 AM

### In Topic: How many are there?

22 August 2014 - 03:36 PM

bonanova,

you communicated wrong.  You included 12 and 123.  Those are strictly numbers and not parts of sequences of numbers.

If you wanted numbers that began with those digits, then you need to put ellipses after those, as in:

"Assuming strict increase and disallowing 1..., 11..., 12..., 112..., 122..., 123..., and numbers like that with repeats in them."

Next time you can type out the word "sequence" or put in the ellipses so you don't pass on the wrong information.

And no single digit numbers should be included, because they do not consist of numbers where the digits

are increasing from left to right.

### In Topic: How many are there?

22 August 2014 - 01:35 PM

Barcallica.

the quoted pair of numbers in question are 12 and 123, not 12 and 24 as you stated.

And here is bonanova's pertinent quote so you can see to which am referring:

"Assuming strict increase and disallowing 1, 11, 12, 112, 122, 123, and numbers like that with repeats in them."

### In Topic: How many are there?

22 August 2014 - 05:35 AM

bonanova,

I see no sense in you disallowing 12 or 123, because each of those numbers have strict increases

in their digits.

### In Topic: Total number of equilateral triangles

16 August 2014 - 03:08 AM

bonanova and other users,

there are additional equilateral triangles with side lengths different

from the correct (so far) three types you gave, and they have different orientations

from the ones you listed.

This problem is still open.

### In Topic: 2 letter words

12 August 2014 - 05:04 AM

Actually, I'm going to have to amend my answer to the revised answer of:

Spoiler for
because I left out the obvious dual combinations.

******  Actually, bonanova, your keyboard, I'm sure, does not look quite like that.  For instance, the "Q" key

is not perfectly adjacent diagonally to the "S" key.  And, for instance, the "W" key is not perfectly adjacent diagonally

to the "D" key.

To go from Q to S in the shortest path, you must pass through either A or W.

And to go from W to D in the shortest path, you must pass through either S or E.

You just look more closely and you'll see that the top row is not in line with the middle row, I'm sure.