Re: Pascal's triangle spacing is off. Need DigitCount?

*To*: mathgroup at smc.vnet.net*Subject*: [mg121224] Re: Pascal's triangle spacing is off. Need DigitCount?*From*: Helen Read <readhpr at gmail.com>*Date*: Mon, 5 Sep 2011 07:05:36 -0400 (EDT)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*References*: <201109031204.IAA05249@smc.vnet.net> <201109040812.EAA14904@smc.vnet.net> <j40srf$l1e$1@smc.vnet.net>

There's certainly a case for that, but it's pretty with the symmetry about a vertical line, with the 1's going down the sides, and the interior entries being the sum of the two neighbors in the row above. HPR On 9/4/2011 6:07 PM, Murray Eisenberg wrote: > Why should Pascal's triangle be arranged so that it has symmetry around > a vertical line, and with its vertex at the center horizontally? > > Why not pad just to the right, so that each row starts flush left? > > The latter seems in a way more "natural" (if I may dare to use that > term), since each element of a row is then in its correct position > (indexing from 0 instead of 1, of course). > > On 9/4/11 4:12 AM, Heike Gramberg wrote: >> You could use Grid in combination with ItemSize instead of Row to give >> all the entries the same width, e.g. >> >> pascalTrngl2[n_] := >> Module[{max, sp}, max = Max[Table[Binomial[n, j], {j, 0, n}]]; >> sp = Round[N[Log[10, max], 5]]; >> Column[Table[Grid[{Table[Binomial[i, j], {j, 0, i}]}, >> ItemSize -> sp], {i, 0, n}], Center]] >> >> pascalTrngl2[10] >> >> Heike >> >> On 3 Sep 2011, at 14:04, Christopher O. Young wrote: >> >>> I'm trying to get the same spacing between the _center points_ of each of >>> the numbers in the Pascal triangle, so that each entry in a row is centered >>> properly underneath the corresponding two entries in the row above. Instead, >>> all the spacing options for Row[ ] seem to just apply to the spacings >>> between numbers. >>> >>> It looks like I would have to calculate the length (i.e., number of digits) >>> of each entry as I go through the table. Is DigitCount the best function to >>> use here? I.e., won't slow things down too much? Or is there a faster way? >>> >>> Thanks for any help. >>> >>> Chris Young >>> cy56 at comcast.net >>> >>> pascalTrngl2[n_] := >>> Module[ >>> {max, sp}, >>> >>> max = Max[Table[Binomial[n, j], {j, 0, n}]]; >>> sp = Round[N[Log[10, max], 5]]; >>> >>> Column[ >>> Table[ >>> Row[ >>> Table[Binomial[i, j], {j, 0, i}], >>> Invisible[sp] >>> ], >>> {i, 0, n} >>> ], >>> Center >>> ] >>> ] >>> >>> >>> >> >> >

**Follow-Ups**:**Re: Pascal's triangle spacing is off. Need DigitCount?***From:*Murray Eisenberg <murray@math.umass.edu>

**References**:**Pascal's triangle spacing is off. Need DigitCount?***From:*"Christopher O. Young" <cy56@comcast.net>

**Re: Pascal's triangle spacing is off. Need DigitCount?***From:*Heike Gramberg <heike.gramberg@gmail.com>