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Trs/Tps Combo
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Honeycomb Designs Patterns (1 st Checker Boards)

I call these Honeycomb Designs because most of them create some visual design that resembles Honeycomb.  I especially like these design patterns, because they create two distinct visual patterns: one on the front of the piece and one on the back.  Basically, you get two afghans for the work of one!
From the Encyclopedia of Tunisian Crochet

Reverse/Purl Combo- Trs/Tps
Work anynumber of chs + 2 for outer edges.
Row 1 Forward and Return: Work chs as you normally would for Tss.
Row 2 Forward: (Work 1 Tps in next st, Work 1 Trs in following st) Repeat across piece, working last st as you normally would.
Row 2 Return: Return as you normally would for Tss.
Row 3 Forward: (Work 1 Trs in next st, Work 1 Tps in following st) Repeat across piece, working last st as you normally would.
Row 3 Return: Return as you normally would for Tss.
To create Pattern:
Work all Even numbered rows as Row 2.
Work all Odd numbered rows as Row 3.

Tips: With this design pattern, you will notice that every other *stitch* is prominently forward or protrudes from the front of the piece; those are the stitches where you will work the Trs. For the stitches that are noticeably recessed- towards the back of the piece, you will work a Tps in those.
Also, you might have the tendency is to pull on the Foundation loop causing the next Foundation loop to draw too tight to insert the hook. Just pull the Cross Bars upwards to help even out the tension once again.

Simple and Reverse Combo- Tss/Trs
Work any number of chs + 2 for outer edges.
Row 1 Forward and Return: Work chs as you normally would for Tss.
Row 2 Forward: (Work 1 Tss in next st, Work 1 Trs in following st) Repeat across piece, working last st as you normally would.
Row 2 Return: Return as you normally would for Tss.
Row 3 Forward: (Work 1 Trs in next st, Work 1 Tss in following st) Repeat across piece, working last st as you normally would.
Row 3 Return: Return as you normally would for Tss.
To create Pattern:  Work all Even numbered rows as Row 2. Work all Odd numbered rows as Row 3.

Knit and Reverse Combo- Tks/Trs Lace st

Simple and Purl Combo-Tss/Tps
Work any number of chs + 2 for outer edges.
Row 1 Forward and Return: Work chs as you normally would for Tss.
Row 2 Forward: (Work 1 Tss in next st, Work 1 Tps in following st) Repeat across piece, working last st as you normally would.
Row 2 Return: Return as you normally would for Tss.
Row 3 Forward: (Work 1 Tfs in next st, Work 1 Tss in following st) Repeat across piece, working last st as you normally would.
Row 3 Return: Return as you normally would for Tss.
To create Pattern: Work all Even numbered rows as Row 2. Work all Odd numbered rows as Row 3.

Knit and Simple Combo-Tss/Tks
Work any number of chs + 2 for outer edges.
Row 1 Forward and Return: Work chs as you normally would for Tss.
Row 2 Forward: (Work 1 Tss in next st, Work 1 Tks in following st) Repeat across piece, working last st as you normally would.
Row 2 Return: Return as you normally would for Tss.
Row 3 Forward: (Work 1 Tks in next st, Work 1 Tss in following st) Repeat across piece, working last st as you normally would.
Row 3 Return: Return as you normally would for Tss.
To create Pattern: Work all Even numbered rows as Row 2. Work all Odd numbered rows as Row 3.
I especially like this design pattern, since you get two wonderful textures and visual designs: one on the front and one on the back.
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Tss/Trs Combo
Tss/Tps Combo
Tks/Tps Front
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Tks/Tps Back
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Just a sample of what you’ll find  in  Encyclopedia of Tunisian Crochet!
For a diagram of all the various Threads of a Tunisian Crochet Stitch,
Click Here!
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Abbreviations:  
Beg: Beginning
 Ch: Chain stitch   
Lp: Loop  
Hk: Hook
DO: drop off
PU: pick up
Sk: skip stitches
Sl St: slip stitch
Yo: Yarn Over hook
Tks-Knit st  
Tss-Simple/Afghan St Tps-Purl St
 Trs-Reverse St
 Tfs-Full/Plain St

Trps-Reverse Purl st