Welcome to RHL Agate Angler.  Nice specimens.

Jasper is a variety of cryptocrystalline quartz and is usually red, brown, and sometimes yellow.  Agate is actually a jasper, with varietal names that describe its color patterns, mossy appearance, etc.

The whitish pieces in your picture is Chalcedony, another varietal name for white, pinkish, or bluish cryptocrystalline quartz. The piece on the far right looks like a water worn Chalcedony rose.  Chalcedony of this type can often have a greenish color under UV light.

Thanks for sharing.

Dennis

Joe,

As I was trying to think of forms of cryptocrystaline quartz my mind was churning and I remember seeing banded agate that was mostly red, yellow, and brown bands.  Technically, that would be jasp-agate, I guess.

  They're all SiO2 scientifically, with varietal names given by lapidarists and gemologists based on color causing elements.  Sorry for the confusion.

Dennis

Gotcha, Dennis. I understand completely.
As always, thank you for the help.

Alex, You got the rock-bug bad, and we here on the Lounge think that's a very good thing!   

Here is that other piece of Yellow Jasper. I just love it. Never been polished or tumbled.

Think of Chalcedony as pure Agate with no minerals for color.   Chalcedony is composed of Cryptocrystalline silica but it is not all Quartz though it is all SiO2.
In minerology some minerals have more than one crystal form(habit) and the crystal shape make a difference in its physical properties.   Chalcedony is composed of Moganite and Quarts.
Moganite is SiO2 crystalized in the monoclinic crystal system.   
See  https://en.wikipedia.org/wiki/Moganite
Quartz is also SiO2 crystalized is the Hexagonal system.
Chalcedony is very fine crystals of these two minerals intertwined in a 3-d matrix.   That is what gives chalcedony its Luster (Waxy, vitreous, dull, greasy, silky).

Jasper is micro crystaline and composed of small spheres of silica.   A different internal structure but chemically the same.   Jasper can also have a high content of chalcedony so sometimes it is hard to differentiate from agate.

BTW the yellow color in the above is most likely Iron of the limonite variety

Chalcedony is the product of hydro--thermal springs, jasper is dirty chalcedony, If the temperature  is consistent for along enough and the supply of silicated water sufficient you will get drussy quartz or fieldquartz(xtals 1/4 of an inch. In the Baltimore area there are two remnants of this type of formation. These sites also have metamorphic  minerals;clorite and small grain sized pyrite . I have a specimen of jasper that has both of these as inclusions. The odd thing about one site is that only red and yellow jasper is to be found.