What connection is possible to create with the G4 512-BGA chip if you would like the full 1600 Mbps in both direction along each edge in the hypergeometrical object?
I guess this one is valib, and must be very similair to the XMP-64 solution. Each node are connected to 4 other nodes.
Is it valid to use the pentachoron as well with 5 chips?
Each node are connected to 4 other nodes, whithout connections on the diagonal.
Which are the next higher possible object after 16 chips?
G4 512BGA - Multi Chip solutions.
-
- XCore Expert
- Posts: 956
- Joined: Fri Dec 11, 2009 3:53 am
- Location: Sweden, Eskilstuna
G4 512BGA - Multi Chip solutions.
Probably not the most confused programmer anymore on the XCORE forum.
-
- XCore Expert
- Posts: 546
- Joined: Thu Dec 10, 2009 10:41 pm
- Location: St. Leonards-on-Sea, E. Sussex, UK.
The first one is a hypercube.
-
- Active Member
- Posts: 44
- Joined: Fri Dec 11, 2009 10:20 am
Nice renders.
The G4 supports properly formed hypercubes only. We haven't verified anything over degree 4.
To enumerate:
A pentachoron is definitely not allowed although it does look rather attractive.
The G4 supports properly formed hypercubes only. We haven't verified anything over degree 4.
To enumerate:
- Degree 0, 1 node - a point,
Degree 1, 2 nodes - a (short) line,
Degree 2, 4 nodes - a square,
Degree 3, 8 nodes - a cube,
Degree 4, 16 nodes - a canonical hypercube a.k.a. a tessaract according to Wikipedia,
Degree 5, 32 nodes - 2 canonical hypercubes; there's probably a name for this too.
...and so forth.
A pentachoron is definitely not allowed although it does look rather attractive.
Best friends with the code fairy.
-
- XCore Expert
- Posts: 577
- Joined: Tue Sep 08, 2009 5:15 pm
Indeed I really like the renders. Much easier to visualise than the wikipedia page for hypercubes!
-
- XCore Expert
- Posts: 956
- Joined: Fri Dec 11, 2009 3:53 am
- Location: Sweden, Eskilstuna
Each chip can communicate with all other chips directly without the need of any extra jump, compared to the 2D sqare.trousers wrote:A pentachoron is definitely not allowed although it does look rather attractive.
Where to place the 5:th chip on the PCB? hmmm maybe in a higher dimension :lol:
Probably not the most confused programmer anymore on the XCORE forum.
-
- XCore Expert
- Posts: 956
- Joined: Fri Dec 11, 2009 3:53 am
- Location: Sweden, Eskilstuna
So what about the case with the 5D-cube (Penteract) ?trousers wrote:Nice renders.
The G4 supports properly formed hypercubes only. We haven't verified anything over degree 4.
To enumerate:Clearly as you climb through the degrees, each node becomes connected to a greater number of its hyper-neighbours and so there are fewer links available to form each edge and the maximum node-to-node bandwidth is reduced. The XMP has 4 links along each edge with one dimension excepted where there are instead 3, leaving one available to be taken off the board.
- Degree 0, 1 node - a point,
Degree 1, 2 nodes - a (short) line,
Degree 2, 4 nodes - a square,
Degree 3, 8 nodes - a cube,
Degree 4, 16 nodes - a canonical hypercube a.k.a. a tessaract according to Wikipedia,
Degree 5, 32 nodes - 2 canonical hypercubes; there's probably a name for this too.
...and so forth.
A pentachoron is definitely not allowed although it does look rather attractive.
Each G4 will communicate with 5-10 other G4 chips ?
And this octeract (8D-cube) is the final evil master-thesis project in routing PCB? :twisted:
In a 2D projection we can see that one of the chip would be connected to 16 other chips (The blue dot), since it has 16 7D-cells
Probably not the most confused programmer anymore on the XCORE forum.
-
- Respected Member
- Posts: 363
- Joined: Thu Dec 10, 2009 10:17 pm
But don't you only have 4 links per chip?
-
- Active Member
- Posts: 44
- Joined: Fri Dec 11, 2009 10:20 am
The G4 can have 16 xmos links exposed in the right package.Berni wrote:But don't you only have 4 links per chip?
However, the G4 has "only" an 8 bit node id so any topology with more than 256 nodes is a non-starter. That limits things to, at most, an 8 dimensional hypercube wherein each node is connected to 8 others. I think that, on some hypothetical level, one could build such a thing but rather you than me :-)
Best friends with the code fairy.
-
- XCore Addict
- Posts: 238
- Joined: Thu Dec 17, 2009 5:15 am
And now for something completely different: http://www.twistet.com/ticktock/n-simplexes.html
A possible insight for the mass expansion of universe, at birth.
It's beyond me, but I like it.
A possible insight for the mass expansion of universe, at birth.
It's beyond me, but I like it.