Sovereign Gold

gold fo all occasions puzzle?

Which is worth more, a bucket full of half a sovereign gold pieces or an identical bucket full of 1 sovereign gold pieces?
the ans given is bucket full of half a sovereign gold pieces...
hw come its possible pls explain in detail

The weight is all that matters. Let's suppose the two types of coins are equal in purity, and that the half sovereign is just a smaller circular cylinder than the sovereign.

You can pack half sovereigns more closely than you can pack sovereigns. That is, there will be less space between coins, since the coins are smaller. [Rigorously proving this statement is probably extremely hard, and I imagine there can be strange bucket shapes such that the full sovereign is the one you want, but in reality the half sovereigns would pack more closely.] As motivation, try tiling a rectangle with circles of a given radius, and then try again with circles of a smaller radius. You'll find you can fit more area in using the smaller circles, since they "mesh" better with the edges.

In any case, a tighter packing means a higher density of gold, so the bucket full of half sovereigns wins.

Find Popular Sovereign Gold At eBay Below:

1914 Great Britain George V Gold Sovereign Gold Coin 8 Gram 22 Karat
1914 Great Britain George V Gold Sovereign Gold Coin 8 Gram 22 Karat
$329.00
Half Gold Sovereign
Half Gold Sovereign
$255.00
AUSTRALIA SYDNEY MINT 1868 SOVEREIGN AU RARE GOLD CURRENCY MONEY COIN
AUSTRALIA SYDNEY MINT 1868 SOVEREIGN AU RARE GOLD CURRENCY MONEY COIN
$1,999.99
Gr Britain Half Sovereign Model
Gr Britain Half Sovereign Model
$47.00
Prince George Royal Birth Sovereign Gold Coin 2013 Struck on 22nd July 2013
Prince George Royal Birth Sovereign Gold Coin 2013 Struck on 22nd July 2013
$2,237.04
British Queen Elizabeth Sovereign 2010 Gold plated 1 OZ Fine Coin  Br 1
British Queen Elizabeth Sovereign 2010 Gold plated 1 OZ Fine Coin Br 1
$4.49
2011 Great Britain 3 Gold Sovereign Set PCGS PR69DCAM First Strikes 1 1 2 1 4 UK
2011 Great Britain 3 Gold Sovereign Set PCGS PR69DCAM First Strikes 1 1 2 1 4 UK
$750.00
1861 Australia Gold Victoria Half Sovereign 1 2S ANACS AU50 Detail Rare
1861 Australia Gold Victoria Half Sovereign 1 2S ANACS AU50 Detail Rare
$1,435.00
1867 SY AUSTRALIA SOVEREIGN PCGS AU50
1867 SY AUSTRALIA SOVEREIGN PCGS AU50
$599.00
2012 UK GOLD PROOF SOVEREIGN FOUR COIN COLLECTION FIRST STRIKE PCGS PR69DCAM
2012 UK GOLD PROOF SOVEREIGN FOUR COIN COLLECTION FIRST STRIKE PCGS PR69DCAM
$1,899.99
1863 SY AUSTRALIA SOVEREIGN PCGS AU53
1863 SY AUSTRALIA SOVEREIGN PCGS AU53
$899.00
1868 SY AUSTRALIA SOVEREIGN PCGS AU50
1868 SY AUSTRALIA SOVEREIGN PCGS AU50
$499.00
1865 SY AUSTRALIA SOVEREIGN PCGS AU53
1865 SY AUSTRALIA SOVEREIGN PCGS AU53
$699.00
India British Sovereign 1918 GOLD PCGS MS63+ one year type Nice coin
India British Sovereign 1918 GOLD PCGS MS63+ one year type Nice coin
$575.00
1918 P Great Britain George V Gold Sovereign Gold Coin
1918 P Great Britain George V Gold Sovereign Gold Coin
$349.99
1911 Great Britain George V Gold Sovereign Gold Coin
1911 Great Britain George V Gold Sovereign Gold Coin
$339.99
1910 Great Britain Edward Vll GOLD 1 2 SOVEREIGN
1910 Great Britain Edward Vll GOLD 1 2 SOVEREIGN
$215.00
1913 Great Britain George V Gold Sovereign Gold Coin
1913 Great Britain George V Gold Sovereign Gold Coin
$339.99
1914 Great Britain George V Gold Sovereign Gold Coin
1914 Great Britain George V Gold Sovereign Gold Coin
$339.99
George V 1931 SA Gold Full Sovereign Gold Coin South Africa You Grade it
George V 1931 SA Gold Full Sovereign Gold Coin South Africa You Grade it
$326.00
1910 Edward VII Gold Full Sovereign Coin You Grade it
1910 Edward VII Gold Full Sovereign Coin You Grade it
$316.00
US UK KING GEORGE V FULL GOLD SOVEREIGN 1923 P GOLDMNZE
US UK KING GEORGE V FULL GOLD SOVEREIGN 1923 P GOLDMNZE
$500.00
1913 P Australia Sovereign MS61
1913 P Australia Sovereign MS61
$445.00
AUSTRALIA 1866 GOLD SYDNEY MINT SOVEREIGN 799gr 02354oz VF GVF GRADE LK
AUSTRALIA 1866 GOLD SYDNEY MINT SOVEREIGN 799gr 02354oz VF GVF GRADE LK
$400.00
AUSTRALIA 1867 GOLD SYDNEY MINT SOVEREIGN 799gr 02354oz VF GVF GRADE LK
AUSTRALIA 1867 GOLD SYDNEY MINT SOVEREIGN 799gr 02354oz VF GVF GRADE LK
$400.00
835 ST GEORGE  DRAGON GOLD COIN1879 S AUSTRALIA SOVEREIGN CHOICE AU KEY
835 ST GEORGE DRAGON GOLD COIN1879 S AUSTRALIA SOVEREIGN CHOICE AU KEY
$1,300.00
AUSTRALIA 1870 SYDNEY MINT GOLD SOVEREIGN AEF GRADE 798gr 02354oz LK
AUSTRALIA 1870 SYDNEY MINT GOLD SOVEREIGN AEF GRADE 798gr 02354oz LK
$450.00
Australia 1863 S Gold Sovereign PCGS AU 55
Australia 1863 S Gold Sovereign PCGS AU 55
$1,900.00
Spectacular 1893 Queen Victoria British Gold Sovereign GEM
Spectacular 1893 Queen Victoria British Gold Sovereign GEM
$558.60
1918 I British India King George V GOLD 22ct Sovereign BRILLIANT UNC
1918 I British India King George V GOLD 22ct Sovereign BRILLIANT UNC
$495.00
1988 ROYAL MINT ST GEORGE SOVEREIGN GOLD PROOF 3 COIN SET BOX COA
1988 ROYAL MINT ST GEORGE SOVEREIGN GOLD PROOF 3 COIN SET BOX COA
$1,899.99
1884 M Australia Gold Sovereign NGC AU50 St George Victoria
1884 M Australia Gold Sovereign NGC AU50 St George Victoria
$535.00
1885 S Australia Gold Sovereign NGC AU53 St George Victoria
1885 S Australia Gold Sovereign NGC AU53 St George Victoria
$549.00
1881 M Australia Gold Sovereign NGC AU58 St George Victoria
1881 M Australia Gold Sovereign NGC AU58 St George Victoria
$575.00
UNITED KINGDOM GOLD PROOF SOVEREIGN 2003 QUEEN ELIZABETH II WITH BOX AND COA
UNITED KINGDOM GOLD PROOF SOVEREIGN 2003 QUEEN ELIZABETH II WITH BOX AND COA
$525.00
UNITED KINGDOM GOLD PROOF SOVEREIGN 2001 QUEEN ELIZABETH II WITH BOX AND COA
UNITED KINGDOM GOLD PROOF SOVEREIGN 2001 QUEEN ELIZABETH II WITH BOX AND COA
$525.00
UNITED KINGDOM GOLD PROOF SOVEREIGN 2004 QUEEN ELIZABETH II WITH BOX AND COA
UNITED KINGDOM GOLD PROOF SOVEREIGN 2004 QUEEN ELIZABETH II WITH BOX AND COA
$525.00
UNITED KINGDOM GOLD PROOF SOVEREIGN 2002 QUEEN ELIZABETH II WITH BOX AND COA
UNITED KINGDOM GOLD PROOF SOVEREIGN 2002 QUEEN ELIZABETH II WITH BOX AND COA
$525.00
1911 KING GEORGE V FULL GOLD SOVEREIGN great condition
1911 KING GEORGE V FULL GOLD SOVEREIGN great condition
$285.00
Britain King George V 22k Gold One Pound Sovereign Coin in 14k Bezel Pendant
Britain King George V 22k Gold One Pound Sovereign Coin in 14k Bezel Pendant
$595.00



List Of Recently Purchased Sovereign Gold:


1914 great britain george v gold sovereign gold coin 8 gram 22 karat, half gold sovereign, australia sydney mint 1868 sovereign au rare gold currency money coin, gr britain half sovereign model, prince george royal birth sovereign gold coin 2013 struck on 22nd july 2013, british queen elizabeth sovereign 2010 gold plated 1 oz fine coin br1 , 2011 great britain 3 gold sovereign set pcgs pr69dcam first strikes 1 12 14 uk, 1861 australia gold victoria half sovereign 12s anacs au50 detail rare, 1867 sy australia sovereign pcgs au50, 2012 uk gold proof sovereign fourcoin collection first strike pcgs pr69dcam, 1863 sy australia sovereign pcgs au53, 1868 sy australia sovereign pcgs au50, 1865 sy australia sovereign pcgs au53, indiabritish sovereign 1918 gold pcgs ms63 one year type nice coin , 1918p great britain george v gold sovereign gold coin, 1911 great britain george v gold sovereign gold coin, 1910 great britain edward vll gold 12sovereign, 1913 great britain george v gold sovereign gold coin, 1914 great britain george v gold sovereign gold coin, george v 1931 sa gold full sovereign gold coin south africa you grade it, 1910 edward vii gold full sovereign coin you grade it, us uk king george v full gold sovereign 1923 p goldmnze, 1913 p australia sovereign ms61, australia 1866 gold sydney mint sovereign799gr 02354oz vfgvf gradelk, australia 1867 gold sydney mint sovereign799gr 02354oz vfgvf gradelk, 835 st george amp; dragon gold coin1879 s australia sovereign choice au key, australia 1870 sydney mint gold sovereignaef grade 798gr02354ozlk, australia 1863s gold sovereign pcgs au55, spectacular 1893 queen victoria british gold sovereign gem, 1918i british india king george v gold 22ct sovereign brilliant unc, 1988 royal mint st george sovereign gold proof 3 coin set box coa , 1884m australia gold sovereign ngc au50 st george victoria, 1885s australia gold sovereign ngc au53 st george victoria, 1881m australia gold sovereign ngc au58 st george victoria, united kingdom gold proof sovereign 2003 queen elizabeth ii with box and coa, united kingdom gold proof sovereign 2001 queen elizabeth ii with box and coa, united kingdom gold proof sovereign 2004 queen elizabeth ii with box and coa, united kingdom gold proof sovereign 2002 queen elizabeth ii with box and coa, 1911 king george v full gold sovereign great condition, britain king george v 22k gold one pound sovereign coin in 14k bezel pendant , 1895 british sovereign queen elizabeth ii gold coin , 1851 joung queen victoria shield reverse gold sovereign aunc rare year , great britain 1817 george iii gold half sovereign ngc unc details ms d, 1925 grbritain g v gold coin sovereign ngc cert graded ms 63 magnificent luster, 1911 c canada g v gold coin sovereign ngc cert genuine ms 61 gorgeous luster, 1915 22k gold british coin sovereign georgivs vdgbrittomnrex 18k bezel, great britain 1885 half sovereign queen victoria 1, gold gtbritain 1982 proof 12 sovereignuncirculatedoriginal boxcoareduced , 20 x qe2 full sovereigns investment pack, 1965 britain q e ii gold coin sovereign ngc cert genuine ms 64 marvelous , 1913 gold great britain 12 sovereign george v coin about uncirculated condition, 1847 queen victoria shield reverse sovereign, 1928 south africa gold sovereign ms64 pcgs , us uk king george v gold full sovereign 1912 s, 1877 s australia british gold sovereign victoria coin rare, hutt river province 1985 gold proof sovereign, british sovereign millennium first strike dated 2000 pcgs certified ms67, 1913c canada george v $10 gold sovereign graded ms63 by icg very rare, 2010 first year of issue st george sovereign gold proof 3 coin set box coa, 1992 gold great britain half sovereign ngc proof 70 ultra cameo, 1995 gold great britain half sovereign ngc proof 70 ultra cameo, 1997 gold great britain half sovereign ngc proof 70 ultra cameo, 1998 gold great britain half sovereign ngc proof 70 ultra cameo, 2003 gold great britain sovereign ngc proof 70 ultra cameo, king edward vii great britain 1910 gold sovereign coin, 2014 qe2 proof gold full sovereign boxedcoa, 12 coin full sovereign 3 monarch mint mark collection, qeii gold sovereign portrait set 4 coins , 2012 qe2 3 coin gold proof sovereign set boxed coa, sovereign reverse collection 4 coins, 1929sa gold sovereign south africa george v aubu, 2pc 2009p australia gold sovereign set pcgs first strike original packaging, great britain 1925 sovereign gold george v ef mint is one gem 22k , 1895m full sovereign gold coin, ten 10 british gold sovereigns 2354 oz of gold free shipping, 1898m full sovereign gold coin, 1910 sovereign king edward vii gold coin 900 fine, twenty five 25 british gold sovereigns 5885 oz of gold free shipping, 1899 full sovereign gold coin, fifty 50 british gold sovereigns 1177 oz of gold free shipping, 1912m full sovereign gold coin, one hundred 100 british gold sovereigns 2353 oz of gold free shipping, 1914p full sovereign gold coin, 1898m unc australia sovereign gold coin ngc ms 62 2355 oz 0917 gold content, 1915m full sovereign gold coin, 1918p full sovereign gold coin, 1927sa full sovereign gold coin, 1929sa full sovereign gold coin, 1983 proof full sovereign gold coin, 1895 g britain gold 1 sovereign ngc ms63 queen victoria veiled head, 1925 gold coin sovereign great britain king st george v slaying dragon 14 oz, 500th anniversary of the first gold sovereign 14891989 double sovereign, 1927 georgivs v dgbrittomnrex fdindimp gold sovereign coin pretoria sa, great britain 1818 george iii gold half sovereign high grade , 1899p australia queen victoria gold sovereign au key date perth mint km13, 2010 great britain quarter sovereign gold proof coin low cert no 0001 royal mint, uk 12 gold sovereign love token edna



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