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:

Full Sovereign 1910 Edward VII Circulated Gold Coin Great Britain
Full Sovereign 1910 Edward VII Circulated Gold Coin Great Britain
$333.00
1879 M Australia 1 Sovereign Gold Coin NGC XF 45 St George
1879 M Australia 1 Sovereign Gold Coin NGC XF 45 St George
$525.00
1910 Gold Sovereign Coin Nice Condition King Edward Free Shipping
1910 Gold Sovereign Coin Nice Condition King Edward Free Shipping
$529.99
1985 UK Royal Mint Gold Proof Half Sovereign Coin
1985 UK Royal Mint Gold Proof Half Sovereign Coin
$199.50
Great Britain 1857 Gold Shield Sovereign Victoria Circulated
Great Britain 1857 Gold Shield Sovereign Victoria Circulated
$449.99
2000 Great Britan Gold 1 2 Sovereign MS68 PCGS Milllennium 1st Strike
2000 Great Britan Gold 1 2 Sovereign MS68 PCGS Milllennium 1st Strike
$350.00
Great BritainKM 7361Sovereign1856  GOLD  YH  Shield Back  EF AU
Great BritainKM 7361Sovereign1856 GOLD YH Shield Back EF AU
$621.00
Full Gold Sovereign Coin
Full Gold Sovereign Coin
$355.39
1917C CANADA SOVEREIGN GOLD COIN CH BU
1917C CANADA SOVEREIGN GOLD COIN CH BU
$389.95
1918 M AUSTRALIA GOLD SOVEREIGN KM 29 NGC MS 61 MELBOURNE COIN
1918 M AUSTRALIA GOLD SOVEREIGN KM 29 NGC MS 61 MELBOURNE COIN
$458.00
1913 S GOLD AUSTRALIA SOVEREIGN KING GEORGE V COIN UNC CONDITION SYDNEY MINT
1913 S GOLD AUSTRALIA SOVEREIGN KING GEORGE V COIN UNC CONDITION SYDNEY MINT
$395.00
1888 S Australia Young Victoria Gold Sovereign AU50 Det Free Ship USA x00164
1888 S Australia Young Victoria Gold Sovereign AU50 Det Free Ship USA x00164
$529.99
CANADA GV 1911 C GOLD COIN SOVEREIGN  ANACS CERTIFIED GENUINE MS 62  SPARKLING
CANADA GV 1911 C GOLD COIN SOVEREIGN ANACS CERTIFIED GENUINE MS 62 SPARKLING
$564.95
GREAT BRITAIN 1 2 GOLD SOVEREIGN 1904 399 gr 01177 oz 0917 gold
GREAT BRITAIN 1 2 GOLD SOVEREIGN 1904 399 gr 01177 oz 0917 gold
$240.00
1913 ENGLAND GOLD COIN 1 2 SOVEREIGN GEORGE V LONDON
1913 ENGLAND GOLD COIN 1 2 SOVEREIGN GEORGE V LONDON
$259.00
1885 S SYDNEY MINT AUSTRALIA GOLD FULL SOVEREIGN COIN
1885 S SYDNEY MINT AUSTRALIA GOLD FULL SOVEREIGN COIN
$499.99
1866 SYDNEY AUSTRALIA SOVEREIGN MS62 NGC CATALOG VAL 2000 MS60 4200 MS63
1866 SYDNEY AUSTRALIA SOVEREIGN MS62 NGC CATALOG VAL 2000 MS60 4200 MS63
$3,100.00
mw7356 Australia Sovereign 1887 M Melbourne Mint Victoria Young Head KM7
mw7356 Australia Sovereign 1887 M Melbourne Mint Victoria Young Head KM7
$595.00
mw7353 Australia Sovereign 1884 M Melbourne Mint Victoria Young Head KM7
mw7353 Australia Sovereign 1884 M Melbourne Mint Victoria Young Head KM7
$595.00
1917 C Canada 1 Sovereign NGC MS 62 Low Mintage
1917 C Canada 1 Sovereign NGC MS 62 Low Mintage
$588.88
UK 1989 4 SOVEREIGN PROOF GOLD COINS SET W BOX  COA new unc
UK 1989 4 SOVEREIGN PROOF GOLD COINS SET W BOX COA new unc
$4,888.88
Australia 1899 P Victoria gold Sovereign NGC MS 61 KEY DATE RARE
Australia 1899 P Victoria gold Sovereign NGC MS 61 KEY DATE RARE
$1,799.99
Great Britain 1829 George IV Gold Sovereign NGC AU 58 RARE
Great Britain 1829 George IV Gold Sovereign NGC AU 58 RARE
$2,599.99
1854 Great Britain Sovereign WW Incused  Douro Treasure  NGC XF45
1854 Great Britain Sovereign WW Incused Douro Treasure NGC XF45
$765.00
1986 GREAT BRITAIN FULL GOLD SOVEREIGN GOLD COIN NGC PF70 PR70
1986 GREAT BRITAIN FULL GOLD SOVEREIGN GOLD COIN NGC PF70 PR70
$1,085.00
2001 GOLD QUEEN ELIZABETH THE SECOND SOVEREIGN OLD HEAD GEM PROOF GRADE
2001 GOLD QUEEN ELIZABETH THE SECOND SOVEREIGN OLD HEAD GEM PROOF GRADE
$369.99
1912 BRITISH SOVEREIGN EDWARD VII GOLD COIN 798 GRAMS 2354 OZ AGW VF CONDITION
1912 BRITISH SOVEREIGN EDWARD VII GOLD COIN 798 GRAMS 2354 OZ AGW VF CONDITION
$314.00
Australia 1879S Gold Sovereign NGC MS 62 Shield Sydney Mint
Australia 1879S Gold Sovereign NGC MS 62 Shield Sydney Mint
$999.99
Great Britain 1866 Gold Sovereign NGC MS 63 Shield
Great Britain 1866 Gold Sovereign NGC MS 63 Shield
$1,099.99
UK Great Britain 1895 SOVEREIGN GOLD COIN QUEEN VICTORIA
UK Great Britain 1895 SOVEREIGN GOLD COIN QUEEN VICTORIA
$445.00
Great Britain 1852 Gold Shield Sovereign AU Victoria
Great Britain 1852 Gold Shield Sovereign AU Victoria
$499.99
Australia 1863 Gold Sovereign Sydney Mint Circulated
Australia 1863 Gold Sovereign Sydney Mint Circulated
$549.99
Great Britain 1851 Gold Shield Sovereign Victoria Circulated
Great Britain 1851 Gold Shield Sovereign Victoria Circulated
$449.99
Great Britain 1866 Gold Shield Sovereign Victoria Circulated
Great Britain 1866 Gold Shield Sovereign Victoria Circulated
$449.99
1927 Great Britain Sovereign Gold Coin Lot 802
1927 Great Britain Sovereign Gold Coin Lot 802
$1.00
2012 Great Britain St George  the Dragon 1 4 Sovereign Gold Coin Proof
2012 Great Britain St George the Dragon 1 4 Sovereign Gold Coin Proof
$100.75
The 2010 Quarter Gold Sovereign Brilliant Uncirculated
The 2010 Quarter Gold Sovereign Brilliant Uncirculated
$195.00
1911 GREAT BRITAIN GOLD SOVEREIGN W HOLE WORN AS PENDANT KM820 917 GOLD
1911 GREAT BRITAIN GOLD SOVEREIGN W HOLE WORN AS PENDANT KM820 917 GOLD
$375.00
1880 Great Britain Gold Half Sovereign Nice High Grade No Die Number
1880 Great Britain Gold Half Sovereign Nice High Grade No Die Number
$895.00
1993 Gold United Kingdom Proof Pistrucci Sovereign Royal Mint Box No Coins
1993 Gold United Kingdom Proof Pistrucci Sovereign Royal Mint Box No Coins
$18.00



List Of Recently Purchased Sovereign Gold:


full sovereign 1910 edward vii circulated gold coin great britain , 1879 m australia 1 sovereign gold coin ngc xf45 st george, 1910 gold sovereign coin nice condition king edward free shipping, 1985 uk royal mint gold proof half sovereign coin, great britain 1857 gold shield sovereign victoria circulated, 2000 great britan gold 12 sovereign ms68 pcgs milllennium 1st strike, great britainkm7361sovereign1856 gold yh shield back efau , full gold sovereign coin , 1917c canada sovereign gold coin chbu, 1918m australia gold sovereign km 29 ngc ms 61 melbourne coin, 1913 s gold australia sovereign king george v coin unc condition sydney mint, 1888s australia young victoria gold sovereign au50 det free ship usa x00164, canada gv 1911 c gold coin sovereign anacs certified genuine ms 62 sparkling, great britain 12 gold sovereign 1904 399 gr 01177 oz 0917 gold, 1913 england gold coin 12 sovereign george v london , 1885s sydney mint australia gold full sovereign coin, 1866 sydney australia sovereign ms62 ngc catalog val $2000 ms60 $4200 ms63, mw7356 australia; sovereign 1887 m melbourne mint victoria young head km7 , mw7353 australia; sovereign 1884 m melbourne mint victoria young head km7 , 1917c canada 1 sovereign ngc ms62 low mintage, uk 1989 4 sovereign proof gold coins set wbox amp; coa newunc, australia 1899p victoria gold sovereign ngc ms61 key date rare, great britain 1829 george iv gold sovereign ngc au58 rare, 1854 great britain sovereign ww incused douro treasure ngc xf45, 1986 great britain full gold sovereign gold coin ngc pf70 pr70 , 2001 gold queen elizabeth the second sovereignold headgem proof grade, 1912 british sovereign edward vii gold coin 798 grams2354 oz agw vf condition, australia 1879s gold sovereign ngc ms62 shield sydney mint, great britain 1866 gold sovereign ngc ms63 shield, uk great britain 1895 sovereign gold coin queen victoria, great britain 1852 gold shield sovereign au victoria , australia 1863 gold sovereign sydney mint circulated, great britain 1851 gold shield sovereign victoria circulated, great britain 1866 gold shield sovereign victoria circulated, 1927 great britain sovereign gold coin lot 802, 2012 great britain st george amp; the dragon 14 sovereign gold coin proof, the 2010 quarter gold sovereign brilliant uncirculated, 1911 great britain gold sovereign whole worn as pendant km820 917 gold, 1880 great britain gold half sovereign nice high grade no die number, 1993 gold united kingdom proof pistrucci sovereign royal mint box no coins, random date 19572015 britain elizabeth gold sovereign 2354 oz agw sku30537, australia 1910s gold sovereign ngc ms63 sydney mint, australia 1912m gold sovereign ngc ms62 melbourne mint, 1986 great britain half 12 sovereign gold ngc pf69 pr69 , 2006 great britain two sovereign ngc pf69 pr69 gold , australia 1908m gold sovereign ngc ms63 melbourne mint, australia 1873s gold sovereign ngc xf45 shield sydney mint, 1877s australia gold shield full sovereign gef efau nice grade sydney mint, 1899p australia full gold sovereign ef40 perth mint key date coin, great britain 1910 gold sovereign ngc au58, great britain 1913 gold sovereign ngc au58, great britain 1925 gold sovereign ngc ms65, south africa 1928 sa gold sovereign ngc ms64, south africa 1927 sa gold sovereign ngc ms63, 1861 half sovereign gold coin 12 sov ngc au 53 very scarce, australia gold sovereign 1882m shield ngc au 53, australia gold sovereign 1884s shield ngc au 58, australia gold sovereign 1885s shield ngc ms 61, 2014 gold half sovereign struck in india ngc ms70 3994 grams royal mint i mark, australia gold sovereign 1916s ngc ms 63, 1959 queen elizabeth ii great britain gold sovereign superb gem bu ce93, 1966 queen elizabeth ii great britain gold sovereign brilliant uncms , great britain 1892 qv jubilee head gold sovereign s3869d, great britain 1902 kevii matte proof gold sovereign s3974a, great britain 1936 fantasy 9ct gold sovereign duke amp; duchess of windsor kmxm16, 1853 great britain one sovereign gold coin ww incused ngc au58, 1892 great britain 12 sovereign gold coin rare shield variety in high grade, australia gold sovereign coin victoria extra fine, random date britain queen victoria gold sovereign young head 18711885 sku36001, random date 19021910 great britain edward or george gold sovereign au sku36847, 1914 gold great britain king george half sovereign ngc mint state 64, great britain sovereign 1889 vf km767 ex jewe g917 free inter shipping, 1984 great britain proof 12 sovereign 24 k gold ngc pf69 ultra cameo uc, 1911c gold sovereign canada uncirculated very scarce, random date 19111932 great britain edward or george gold sovereign bu sku37008, 2012 queens diamond jubilee brilliant uncirculated gold sovereign 0146 rare, 1891s australia sovereign gold anacs ef40 exjewelry polished details amt, 1902p australia sovereign gold coin anacs au50 amt, tristan da cunha 2011 gold 2 sovereigns ngc pf69uc william amp; catherine, 1903p australia sovereign gold coin anacs ms60 scratched details amt, 1903m australia sovereign gold coin anacs au58 amt, 1904m australia sovereign gold coin anacs au50 amt, 1904p australia sovereign gold coin anacs au58 a amt, 1904m australia sovereign gold coin anacs au58 b amt, 1905p australia sovereign gold coin anacs au55 amt, 1905m australia sovereign gold coin anacs ms61 amt, 1906p australia sovereign gold coin anacs au55 amt, 1906p australia sovereign gold coin anacs ms61 better coin amt, 1907p australia sovereign gold coin anacs au50 amt, 1907p australia sovereign gold coin anacs au55 amt, 1907p australia sovereign gold coin anacs au58 amt, 1908p australia sovereign gold coin anacs au55 amt, 1908m australia sovereign gold coin anacs ms61 amt, 1908m australia sovereign gold coin anacs ms62 better coin amt, the highest ngc grade australia 1873s stgeorge sovereign ngc ms62 rare in unc, 1909p australia sovereign gold coin anacs ms60 a amt, 1909p australia sovereign gold coin anacs ms60 b amt



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