How to Make Gudap


Now it's time to learn how to build a star polychoron. First we would need to obtain access to a four dimensional world and get the poster board, 4-D scissors, coloring pencils, glue, and other useful 4-D items - I'll let you figure that one out :). Gudap is one of two uniform duoantiprisms, the other is hex. It's in category 20.
Gudap Piece Set Gudap Combo Set Gudap Slices

Above are the eight piece types of gudap, followed by combos, and then a slices animation, they were created using Stella4D. We could name the pieces and combos as follows:


the Eight Piece Types

Crown - largest of the red pieces - it is the core of the starp cells, 10 needed.

Bit - tiny blue piece near crown - it comes from the tet cells, comes in right and left handed forms, 200 needed.

Sliver - tiny green piece - comes from the center of the lateral edges of the pap cells, 100 needed.

Bracket - strange looking blue piece near crown - comes from an edge of the tet cells, 50 needed.

Ashtray - large flat green piece - comes from the pentagons of the pap cells, 20 needed.

Foot - blue trapezoid pyramid under ashtray - comes from the triangle corners of the tet cells, 100 needed.

Spike - lowest blue piece - comes from the edge corners of the tet cells, 100 needed.

Star - red star at the bottom - comes from the stip cells at the square-square edges, 20 needed.


the Five Combos

Chain - composed of ten brackets folded inwards - blue, 5 needed.

Bracelet - composed of ten slivers and twenty bits, folded outward between bits and slivers and inwards between two bits and glued into a ring - green and blue, 10 needed.

Tower - composed of twenty ashtrays and folded inwards at the decagon faces and outwards at the pentagons and glued at the five slinder trapzoids and then into a ring by the pentagon - green, a whopping 'one' needed.

Star Pair - composed of two stars folded outwards - red, 10 needed.

Peaks - composed of two feet and two spikes folded inwards and glued at the trapezoids - blue, 50 needed.


Build the Tower

First, lets make the lone tower. Place a convex tab at one of the free pentagons, also place concave tabs on those narrow trapezoids that face in the same direction as that pentagon, they will connect to the adjacent narrow trapezoids when folded. Concave tabs will need to be attached to those trapezoid shaped parts that face the interior of the ashtrays, they are snug to the '[' shaped faces, so there's little room for these tabs. Convex tabs are also placed on the triangles. The ashtrays are folded in a zigzagged way, convex folds at the pentagons and concave folds at the decagons (interior part of ashtrays), this will result in a 10/4-gon arrangement. Glue the tab at the pentagon to the other pentagon to close it and then glue the tabs at the thin trapezoids to the tabless version on the adjacent ashtrays.


Building the Chain Link Fence

Now build the five chains. Put convex tabs on the '[' shaped faces and the kite faces. Also place concave tabs on all the small triangle faces except for the rightmost downward facing ones (assuming the chain is in a vertical position), these will connect to the tabs of another chain on the upward facing leftmost triangles. Fold the chain inwards and connect the two ends together at small triangles to form a ring. Then connect the five chains together at the outer small triangleds to form a toroidal like duoring. They are also connected to the tower. The inner parts of the brackets connect to the inward trapezoids of the ashtrays and the [ shaped parts of the tower and chains connect. We need to complete the chain linked fence with bracelets. Make ten bracelets where the tabs are placed on the interior part of the bracelet with convex tabs in an alternating way (tab, no tab, tab, etc). One more tab, a concave one, is placed on one of the two small end triangles to connect the bracelets into rings. The bracelets connect to the small triangles on the brackets, where the bits connect to the innermost triangles of the brackets by the outer part of the bracelet. The ten bracelets will ring around the smaller diameter of the chainlink fence.

Finishing Gudap

Now make the ten crowns, place convex tabs on the small triangles in an alternating pattern. Place convex tabs on all of the larger triangles. The small triangles will connect to the bracelets which will ring the crowns. The kite faces connect to the brackets. Now make the ten star pairs and the peaks. Fold the star pairs convexly and the peaks concavely. Put a tab on one of the trapzoids of the peaks, to glue to the other trapeoid to close the peak. Put convex tabs on the smaller triangle faces of the peaks. The peaks will connect to the towers at the eualateral triangles and to the crowns at the large triangles and then to the star pairs at the small triangles. The model is now done - don't forget to toss the model in the air and dap some goo on it - it is called 'gudap'.


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