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:

1890 AUSTRALIA GOLD COIN VICTORIA SOVEREIGN SYDNEY MINT XF1890
1890 AUSTRALIA GOLD COIN VICTORIA SOVEREIGN SYDNEY MINT XF1890
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1929 Rare KING GEORGE V GOLD SOVEREIGN a SUPER HIGH GRADE GEM
1929 Rare KING GEORGE V GOLD SOVEREIGN a SUPER HIGH GRADE GEM
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1927 Rare KING GEORGE V GOLD SOVEREIGN a SUPER HIGH GRADE GEM
1927 Rare KING GEORGE V GOLD SOVEREIGN a SUPER HIGH GRADE GEM
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Gold Sovereigns Great Britain United Kingdom British Gold FREE SHIPPING ZXZ4
Gold Sovereigns Great Britain United Kingdom British Gold FREE SHIPPING ZXZ4
$520.00
Gold Sovereigns Great Britain United Kingdom British Gold FREE SHIPPING ZXZ5
Gold Sovereigns Great Britain United Kingdom British Gold FREE SHIPPING ZXZ5
$521.11
Gold Sovereigns Great Britain United Kingdom British Gold FREE SHIPPING ZXZ6
Gold Sovereigns Great Britain United Kingdom British Gold FREE SHIPPING ZXZ6
$514.00
Gold Sovereigns Great Britain United Kingdom British Gold FREE SHIPPING ZXZ7
Gold Sovereigns Great Britain United Kingdom British Gold FREE SHIPPING ZXZ7
$514.00
Gold Sovereigns Great Britain United Kingdom British Gold FREE SHIPPING ZXZ8
Gold Sovereigns Great Britain United Kingdom British Gold FREE SHIPPING ZXZ8
$514.00
1885 M AUSTRALIA GOLD SOVEREIGN KM7
1885 M AUSTRALIA GOLD SOVEREIGN KM7
$549.99
UK Great Britain HALF SOVEREIGN 2005 GOLD COIN
UK Great Britain HALF SOVEREIGN 2005 GOLD COIN
$230.00
1928 GOLD COIN SOVEREIGN KING GEORGE 5th Free Shipping
1928 GOLD COIN SOVEREIGN KING GEORGE 5th Free Shipping
$287.00
2013 Gold Sovereign struck in India 798 grams by royal mint
2013 Gold Sovereign struck in India 798 grams by royal mint
$788.00
2013 Gold Sovereign Struck in India Royal Mint 1 4oz 798 Grams NGC MS70
2013 Gold Sovereign Struck in India Royal Mint 1 4oz 798 Grams NGC MS70
$995.00
1909 P Australia Sovereign Gold Coin ANACS MS 61 B AMT
1909 P Australia Sovereign Gold Coin ANACS MS 61 B AMT
$425.00
1909 P Australia Sovereign Gold Coin ANACS MS 61 C AMT
1909 P Australia Sovereign Gold Coin ANACS MS 61 C AMT
$425.00
GREAT BRITAIN 1872 FULL SOVEREIGN VICTORIA AU 58
GREAT BRITAIN 1872 FULL SOVEREIGN VICTORIA AU 58
$400.00
1991 United Kingdom Gold Proof Sovereign Four Coin Set Box and COA
1991 United Kingdom Gold Proof Sovereign Four Coin Set Box and COA
$3,465.00
1909 P Australia Sovereign Gold Coin ANACS MS 61 D AMT
1909 P Australia Sovereign Gold Coin ANACS MS 61 D AMT
$425.00
ENGLAND GOLD COIN SOVEREIGN EDWARD 1904 XF AU
ENGLAND GOLD COIN SOVEREIGN EDWARD 1904 XF AU
$549.00
1909 P Australia Sovereign Gold Coin ANACS MS 61 E AMT
1909 P Australia Sovereign Gold Coin ANACS MS 61 E AMT
$425.00
1909 P Australia Sovereign Gold Coin ANACS MS 61 F AMT
1909 P Australia Sovereign Gold Coin ANACS MS 61 F AMT
$425.00
1912GOLD SOVEREIGN GREAT BRITAIN
1912GOLD SOVEREIGN GREAT BRITAIN
$345.80
1913GOLD SOVEREIGN GREAT BRITAIN
1913GOLD SOVEREIGN GREAT BRITAIN
$345.80
1909 P Australia Sovereign Gold Coin ANACS MS 61 H AMT
1909 P Australia Sovereign Gold Coin ANACS MS 61 H AMT
$425.00
1909 P Australia Sovereign Gold Coin ANACS MS 61 I AMT
1909 P Australia Sovereign Gold Coin ANACS MS 61 I AMT
$425.00
1909 P Australia Sovereign Gold Coin ANACS MS 61 J AMT
1909 P Australia Sovereign Gold Coin ANACS MS 61 J AMT
$425.00
1909 P Australia Sovereign Gold Coin ANACS MS 61 K AMT
1909 P Australia Sovereign Gold Coin ANACS MS 61 K AMT
$425.00
1909 P Australia Sovereign Gold Coin ANACS MS 61 L AMT
1909 P Australia Sovereign Gold Coin ANACS MS 61 L AMT
$425.00
1909 P Australia Sovereign Gold Coin ANACS MS 61 M AMT
1909 P Australia Sovereign Gold Coin ANACS MS 61 M AMT
$425.00
1909 P Australia Sovereign Gold Coin ANACS MS 61 N AMT
1909 P Australia Sovereign Gold Coin ANACS MS 61 N AMT
$425.00
1909 P Australia Sovereign Gold Coin ANACS MS 61 O AMT
1909 P Australia Sovereign Gold Coin ANACS MS 61 O AMT
$425.00
1909 P Australia Sovereign Gold Coin ANACS MS 61 Q AMT
1909 P Australia Sovereign Gold Coin ANACS MS 61 Q AMT
$425.00
1909 P Australia Sovereign Gold Coin ANACS MS 61 R AMT
1909 P Australia Sovereign Gold Coin ANACS MS 61 R AMT
$425.00
1909 P Australia Sovereign Gold Coin ANACS MS 61 S AMT
1909 P Australia Sovereign Gold Coin ANACS MS 61 S AMT
$425.00
1909 P Australia Sovereign Gold Coin ANACS MS 61 T AMT
1909 P Australia Sovereign Gold Coin ANACS MS 61 T AMT
$425.00
1909 P Australia Sovereign Gold Coin ANACS MS 61 U AMT
1909 P Australia Sovereign Gold Coin ANACS MS 61 U AMT
$425.00
1909 P Australia Sovereign Gold Coin ANACS MS 61 V AMT
1909 P Australia Sovereign Gold Coin ANACS MS 61 V AMT
$425.00
Gold Sovereign King George V London mint1915
Gold Sovereign King George V London mint1915
$450.00
1909 P Australia Sovereign Gold Coin ANACS MS 61 W AMT
1909 P Australia Sovereign Gold Coin ANACS MS 61 W AMT
$425.00
1909 P Australia Sovereign Gold Coin ANACS MS 61 X AMT
1909 P Australia Sovereign Gold Coin ANACS MS 61 X AMT
$425.00



List Of Recently Purchased Sovereign Gold:


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victoria au 58, 1991 united kingdom gold proof sovereign four coin set box and coa, 1909p australia sovereign gold coin anacs ms61 d amt, england gold coin sovereign edward 1904 xfau, 1909p australia sovereign gold coin anacs ms61 e amt, 1909p australia sovereign gold coin anacs ms61 f amt, 1912gold sovereign great britain, 1913gold sovereign great britain, 1909p australia sovereign gold coin anacs ms61 h amt, 1909p australia sovereign gold coin anacs ms61 i amt, 1909p australia sovereign gold coin anacs ms61 j amt, 1909p australia sovereign gold coin anacs ms61 k amt, 1909p australia sovereign gold coin anacs ms61 l amt, 1909p australia sovereign gold coin anacs ms61 m amt, 1909p australia sovereign gold coin anacs ms61 n amt, 1909p australia sovereign gold coin anacs ms61 o amt, 1909p australia sovereign gold coin anacs ms61 q amt, 1909p australia sovereign gold coin anacs ms61 r amt, 1909p australia sovereign gold coin anacs ms61 s amt, 1909p australia sovereign gold coin anacs ms61 t amt, 1909p australia sovereign gold coin anacs ms61 u amt, 1909p australia sovereign gold coin anacs ms61 v amt, gold sovereign king george v london mint1915, 1909p australia sovereign gold coin anacs ms61 w amt, 1909p australia sovereign gold coin anacs ms61 x amt, 1909p australia sovereign gold coin anacs ms61 y amt, australia gold sovereign 1870 au 58 ngc, 1909p australia sovereign gold coin anacs ms61 z amt, great britain gold 12 sovereign 1877 choice almost uncirculated, 1909p australia sovereign gold coin anacs ms61 aa amt, 1909p australia sovereign gold coin anacs ms61 ab amt, 1909p australia sovereign gold coin anacs ms61 ac amt, 1909p australia sovereign gold coin anacs ms62 a amt, 1909p australia sovereign gold coin anacs ms62 c amt, 1909p australia sovereign gold coin anacs ms62 e amt, 1910m australia sovereign awesome melbourne king edward vii rare aug213, 1909p australia sovereign gold coin anacs ms62 f amt, 1909p australia sovereign gold coin anacs ms62 g amt, 1909p australia sovereign gold coin anacs ms62 h amt, 1909p australia sovereign gold coin anacs ms62 i amt, 1909p australia sovereign gold coin anacs ms62 j amt, 1909p australia sovereign gold coin anacs ms62 k amt, 1910m australia sovereign gold coin anacs au55 amt, 1910s australia sovereign gold coin anacs au58 amt, 1902 great britain sovereign gold coin anacs au55 amt, 1903 great britain sovereign gold coin anacs au50 amt, 1903 great britain sovereign gold coin anacs au55 amt, 1904 great britain sovereign gold coin anacs au55 a amt, 1904 great britain sovereign gold coin anacs au55 b amt, great britain 1883victoria 12 sovereign gold coin, 2011 great britain royal wedding gold double sovereign with box , 1904 great britain sovereign gold coin anacs ms60 amt, 1904 great britain sovereign gold coin anacs ms61 amt, 1905 great britain sovereign gold coin anacs au55 amt, great britain 1890 jubilee victoria gold sovereign coin as shown, australia 1894s sydney veiled victoria gold sovereign coin as shown, great britain 2007 4piece sovereign set pcgs pr69dcam gold coin set as shown, 1911 george v gold sovereign pcgs ms64, 1895m australia gold sovereign coin melbourne mint, 1918i george v gold sovereign pcgs ms64, 1906 great britain sovereign gold coin anacs au50 amt, 2011 gold great britain sovereign coin ngc proof 70 ultra cameo, 1872 victoria gold shield sovereign ngc ms63 die number 100, 1906 great britain sovereign gold coin anacs au55 amt, 2004 great britain gold half sovereign ngc pf69 ultra cameo st george proof, 1906 great britain sovereign gold coin anacs au58 a amt, 2012 great britain regent and the lion proof gold double sovereign mintage 999, 1 sovereign 1925 ngc ms 65 great britain, 1 sovereign 1913 ngc ms 62 great britain, 1906 great britain sovereign gold coin anacs au58 b amt, 1 sovereign 1912 ngc ms 63 great britain, 1872 1s great britain gold sovereign shield die number very pq ms62 ngc, 1906 great britain sovereign gold coin anacs au58 c amt, 1 sovereign 1911 ngc ms 62 great britain, rare1973 c isle of man gold sovereign gem bu qq26, 835 st george amp; dragon gold coin1879 s australia sovereign choice au key, 1 sovereign 1908 ngc ms 63 great britain, 1887m australia gold sovereign anacs au53 details , 1 sovereign 1907 ngc ms 62 great britain, 1 sovereign 1906 ngc au 55 great britain, 1917cgold full sovereign, 1 sovereign 1902 ngc xf 45 great britain



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